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<front>
<journal-meta>
<journal-id>0120-2596</journal-id>
<journal-title><![CDATA[Lecturas de Economía]]></journal-title>
<abbrev-journal-title><![CDATA[Lect. Econ.]]></abbrev-journal-title>
<issn>0120-2596</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-25962013000200007</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The consumer's choice among television displays: A multinomial logit approach]]></article-title>
<article-title xml:lang="es"><![CDATA[La elección del consumidor entre visualizadores de televisión: una aproximación logit multinomial]]></article-title>
<article-title xml:lang="fr"><![CDATA[Le choix du consommateur entre les différents types d'écrans de télévision: Une approche logit multinomial]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Serna]]></surname>
<given-names><![CDATA[Natalia]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Icesi  ]]></institution>
<addr-line><![CDATA[Cali ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Banco de la República  ]]></institution>
<addr-line><![CDATA[Cali ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2013</year>
</pub-date>
<numero>79</numero>
<fpage>199</fpage>
<lpage>228</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-25962013000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-25962013000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-25962013000200007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The consumer's choice over a bundle of products depends on observable and unobservable characteristics of goods and consumers. This choice is made in order to maximize utility subject to a budget constraint. At the same time, firms make product differentiation decisions to maximize profit. Quality is a form of differentiation. An example of this occurs in the TV market, where several displays are developed. Our objective is to determine the probability for a consumer of choosing a type of display from among five kinds: standard tube, LCD, plasma, projection and LED. Using a multinomial logit approach, we find that electronic appliances like DVDs and audio systems, as well as socioeconomic status, increase the probability of choosing a high-tech television display. Our empirical approximation contributes to further understanding rational consumer behavior through the theory of utility maximization and highlights the importance of studying market structure and analyzing changes in welfare and efficiency.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La decisión de los consumidores sobre un conjunto de productos depende de las características observables y no observables de bienes e individuos. Esta elección se hace para maximizar la utilidad sujeta a una restricción presupuestaria, al mismo tiempo que las firmas deciden diferenciar los productos para maximizar sus beneficios. La calidad es una forma de diferenciación; esta ocurre, por ejemplo, en el mercado de televisores, donde se desarrollan diversos visualizadores. Nuestro objetivo es determinar la probabilidad de que un consumidor escoja un tipo de pantalla entre cinco opciones: televisor estándar, LCD, plasma, proyección y LED. Usando una aproximación logit multinomial, los resultados muestran que los DVDs, los sistemas de audio y el estatus socioeconómico incrementan la probabilidad de elegir un televisor con visualizador de alta tecnología. Nuestro estudio contribuye al entendimiento de la teoría de la maximización de la utilidad en consumidores racionales y resalta la importancia de analizar la estructura del mercado y cambios en el bienestar y la eficiencia.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[Le choix des consommateurs sur un ensemble de produits dépend des caractéristiques observables et non observables. Ce choix peut être expliqué à travers un processus de maximisation de l'utilité du consommateur soumis à une contrainte budgétaire, tandis que les entreprises choisissent de différencier les produits offerts à travers un processus de maximisation de leurs profits. La qualité est une manière qui sert justement à différencier un produit, c'est le cas par exemple du marché des téléviseurs avec des différents types d'écrans. Notre objectif est de calculer la probabilité qu'un consommateur choisis un certain type d'écran parmi les cinq options suivantes: télé standard, LCD, plasma, projection et LED. À travers une approche logit multinomial, nous montrons que les caractéristiques techniques additionnelles de la télé (un DVD ou bien un système audio) et le statut socioéconomique du consommateur, augmentent la probabilité de choisir un téléviseur avec un écran High-Tech. Notre étude contribue ainsi à la compréhension de la théorie de la maximisation de l'utilité du consommateur rationnel, puis que nous soulignons l'importance d'analyser la structure du marché et les changements dans le bien-être et dans l'efficience.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Observable product characteristics]]></kwd>
<kwd lng="en"><![CDATA[product differentiation]]></kwd>
<kwd lng="en"><![CDATA[quality]]></kwd>
<kwd lng="en"><![CDATA[television display]]></kwd>
<kwd lng="es"><![CDATA[Características observables del producto]]></kwd>
<kwd lng="es"><![CDATA[diferenciación de producto]]></kwd>
<kwd lng="es"><![CDATA[calidad]]></kwd>
<kwd lng="es"><![CDATA[dispositivo del televisor]]></kwd>
<kwd lng="fr"><![CDATA[caractéristiques observables du produit]]></kwd>
<kwd lng="fr"><![CDATA[différenciation des produits]]></kwd>
<kwd lng="fr"><![CDATA[qualité]]></kwd>
<kwd lng="fr"><![CDATA[appareils de télévision]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="Verdana, Arial, Helvetica, sans-serif" size="2">     <p align="right"> <b>ARTICLES</b></p>     <p>&nbsp;</p>     <p align="center"><b><font size="4">The consumer's choice among television displays: A multinomial logit approach</font></b></p>     <p>&nbsp;</p>     <p align="center"><b><font size="3"> La elecci&oacute;n del consumidor entre visualizadores de televisi&oacute;n: una aproximaci&oacute;n logit multinomial</font></b></p>     <p align="center">&nbsp;</p>     <p align="center"><b><font size="3"> Le choix du consommateur entre les diff&eacute;rents types d'&eacute;crans de t&eacute;l&eacute;vision: Une approche logit multinomial</font></b></p>     <p>&nbsp;</p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><b>Carlos Gonz&aacute;lez*; Natalia Serna**</b></p>     <p>* Doctor en econom&iacute;a. Profesor Tiempo Completo, Departamento   de Econom&iacute;a, Universidad Icesi, Cali, Colombia. Direcci&oacute;n postal: Calle 18 n&deg;   122-135 Pance, Cali, Colombia. Tel.: (+57) 2 5552334, Ext. 8844. Direcci&oacute;n electr&oacute;nica:   <a href="mailto:cggonzalez@icesi.edu.co">cggonzalez@icesi.edu.co</a>. Web-Page: <a href="www.icesi.edu.co/cggonzalez" target="_blank">www.icesi.edu.co/cggonzalez</a>. </p>     <p>**  Economista y Negociadora Internacional. Practicante Banco de la Rep&uacute;blica sucursal Cali.   Direcci&oacute;n postal: Calle 18 n&deg; 122-135 Pance, Cali, Colombia. Tel.: (+57) 2 5552334, Ext.   8844. Direcci&oacute;n electr&oacute;nica: <a href="mailto:nsernabo@banrep.gov.co">nsernabo@banrep.gov.co</a>.</p>     <p> Los errores u omisiones son de exclusiva responsabilidad de los autores.</p>     <p>&nbsp;</p>      <p align="center"><b>&#8211;Introduction. &#8211;I. Discrete choice models for estimating demand systems. &#8211;II. Empirical Strategy. &#8211;III. Data and descriptive evidence. &#8211;IV. Estimation. &#8211;Conclusions. &#8211;References.</b></p>     <p align="center">&nbsp;</p>     <p align="center"><i>Primera versi&oacute;n recibida el 6 de mayo de 2013; versi&oacute;n final aceptada el 17 de julio de 2013</i></p>      <p>&nbsp;</p> <hr noshade size="1">     <p><b>ABSTRACT</b></p>     ]]></body>
<body><![CDATA[<p>The consumer's choice over a bundle of products depends on observable and unobservable characteristics   of goods and consumers. This choice is made in order to maximize utility subject to a budget constraint. At the   same time, firms make product differentiation decisions to maximize profit. Quality is a form of differentiation.   An example of this occurs in the TV market, where several displays are developed. Our objective is to determine   the probability for a consumer of choosing a type of display from among five kinds: standard tube, LCD, plasma,   projection and LED. Using a multinomial logit approach, we find that electronic appliances like DVDs and   audio systems, as well as socioeconomic status, increase the probability of choosing a high-tech television display.   Our empirical approximation contributes to further understanding rational consumer behavior through the theory   of utility maximization and highlights the importance of studying market structure and analyzing changes in welfare and efficiency.</p>     <p> <b>Keywords: </b>Observable product characteristics, product differentiation, quality, television display.</p>     <p>  <b>JEL Classification</b>: D12, L15.</p> <hr noshade size="1">     <p><b>RESUMEN</b></p>     <p>La decisi&oacute;n de los consumidores sobre un conjunto de productos depende de las caracter&iacute;sticas observables   y no observables de bienes e individuos. Esta elecci&oacute;n se hace para maximizar la utilidad sujeta a una   restricci&oacute;n presupuestaria, al mismo tiempo que las firmas deciden diferenciar los productos para maximizar sus   beneficios. La calidad es una forma de diferenciaci&oacute;n; esta ocurre, por ejemplo, en el mercado de televisores, donde   se desarrollan diversos visualizadores. Nuestro objetivo es determinar la probabilidad de que un consumidor   escoja un tipo de pantalla entre cinco opciones: televisor est&aacute;ndar, LCD, plasma, proyecci&oacute;n y LED. Usando una   aproximaci&oacute;n logit multinomial, los resultados muestran que los DVDs, los sistemas de audio y el estatus socioecon&oacute;mico   incrementan la probabilidad de elegir un televisor con visualizador de alta tecnolog&iacute;a. Nuestro estudio   contribuye al entendimiento de la teor&iacute;a de la maximizaci&oacute;n de la utilidad en consumidores racionales y resalta la importancia de analizar la estructura del mercado y cambios en el bienestar y la eficiencia.</p>     <p> <b>Palabras claves:</b> Caracter&iacute;sticas observables del producto, diferenciaci&oacute;n de producto, calidad, dispositivo del televisor.</p>     <p> <b>Clasificaci&oacute;n JEL:</b> D12, L15.</p> <hr noshade size="1">     <p><b>R&Eacute;SUM&Eacute;</b></p>     <p>Le choix des consommateurs sur un ensemble de produits d&eacute;pend des caract&eacute;ristiques observables et non   observables. Ce choix peut &ecirc;tre expliqu&eacute; &agrave; travers un processus de maximisation de l'utilit&eacute; du consommateur soumis   &agrave; une contrainte budg&eacute;taire, tandis que les entreprises choisissent de diff&eacute;rencier les produits offerts &agrave; travers un   processus de maximisation de leurs profits. La qualit&eacute; est une mani&egrave;re qui sert justement &agrave; diff&eacute;rencier un produit,   c'est le cas par exemple du march&eacute; des t&eacute;l&eacute;viseurs avec des diff&eacute;rents types d'&eacute;crans. Notre objectif est de calculer   la probabilit&eacute; qu'un consommateur choisis un certain type d'&eacute;cran parmi les cinq options suivantes: t&eacute;l&eacute; standard,   LCD, plasma, projection et LED. &Agrave; travers une approche logit multinomial, nous montrons que les caract&eacute;ristiques   techniques additionnelles de la t&eacute;l&eacute; (un DVD ou bien un syst&egrave;me audio) et le statut socio&eacute;conomique du   consommateur, augmentent la probabilit&eacute; de choisir un t&eacute;l&eacute;viseur avec un &eacute;cran High-Tech. Notre &eacute;tude contribue   ainsi &agrave; la compr&eacute;hension de la th&eacute;orie de la maximisation de l'utilit&eacute; du consommateur rationnel, puis que nous soulignons l'importance d'analyser la structure du march&eacute; et les changements dans le bien-&ecirc;tre et dans l'efficience.</p>     <p> <b>Mots-cl&eacute;s</b>: caract&eacute;ristiques observables du produit, diff&eacute;renciation des produits, qualit&eacute;, appareils de t&eacute;l&eacute;vision.</p>     ]]></body>
<body><![CDATA[<p> <b>Clasificaci&oacute;n JEL</b>: D12, L15. </p> <hr noshade size="1">     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font size="3"><b>INTRODUCTION</b></font></p>     <p>Several factors affect the consumer's decision over her bundle of choices.   Price and quality are some of them. In the case of the market for electronic   appliances, firms often produce many varieties of products within the same   line of production to increase profit. This market exhibits certain level of   imperfect competition due to the vertical differentiation of goods by quality.   In fact, differences in quality are a form of price discrimination that has little   or nothing to do with production costs (Hastings, 2004). Thus, variations in   price and quality explain why consumers choose or buy one product over   another. Other factors affecting it are the demographic characteristics and   unobservable attributes of products and buyers, which can emerge from external shocks to demand (Berry, Levinsohn and Pakes, 2003).</p>     <p>  We follow the theoretical framework of utility maximization. This framework   states that consumer's preferences can be modeled through a utility   function, in which an ordinal measure of product satisfaction is the variable   of interest and price and income are determinants (Mas-Colell, Whinston,   Green, 1995). Quality and exogenous shocks to demand also determine the   consumer's decision over a bundle of choices. In our paper, we use a discrete   choice model as an approach to the indirect utility function (Nevo, 2003).   We apply this method to the television market in order to determine the   consumer's choice over a type of TV display. Specifically, the multinomial   logit predicts the probability for the consumer of choosing a type of display, conditional on observable and unobservable characteristics of both products   and consumers. This empirical approximation to the television market   contributes to further understanding rational consumer behavior through the   theory of utility maximization. It also stimulates the study of market structure   and its welfare implications through the theoretical linkages between   the firms' problem of maximizing profits and the consumers' problem of maximizing utility.</p>     <p>  This paper is structured as follows: the first section presents the theoretical   framework. In the second section, we introduce our empirical approach.   Then, in the third section, we describe our database and the relevant variables   for the multinomial logit. Finally, in the fourth section, we present the estimations. We conclude by giving some additional remarks.</p>     <p>&nbsp;</p>     <p><font size="3">  <b>I. Discrete choice models for estimating demand systems</b></font></p>     <p>  The estimation of differentiated products demand systems is an efficient   way to analyze substitution patterns and the market shares for a family of   products. It is also a way of addressing observable and unobservable characteristics   of products that determine the decision of whether a consumer purchases certain attributes.</p>     ]]></body>
<body><![CDATA[<p>  Anderson, Palma and Thisse (1989) proposed a specific characteristics   framework to model product differentiation. They linked several conceptual   approaches in their study: the ''representative consumer model'' (Spence,   1976; Dixit and Stiglitz, 1977), the bundle of characteristics model (Lancaster,   1979; Archibald, Eaton and Lipsey, 1986), and the probabilistic choice   framework (Perloff and Salop, 1985). Using the logit, probit, and linear probability   models the authors concluded, ''randomness in observed consumer   behavior lies in the unobservable characteristics that influence consumer   choices'' (Anderson et al., 1989, p. 1). In the particular case of the multinomial   logit, they stated that consumer and product heterogeneity are the same   at the aggregate level. Then, using aggregated data would solve the problems   of unobserved heterogeneity and yield consistent and asymptotically efficient estimators.</p>     <p>  Dale and Roheim (1990) also developed one of the theoretical approaches   regarding the use of micro-data to estimate demand systems. They suggested   that micro-data helps to measure the effects of demographic variables.   However, household-level data tend to have many missing values   because some goods have zero consumption levels. This issue motivates the   authors to use a censored dependent variable or otherwise they will obtain   biased results. Further analysis showed that a more accepted method was   developed to estimate demand systems. It is known as the BLP method, described   in the following.</p>     <p>  Berry et al. (2003) showed that micro and macro data are important to   describe the consumer's preference relation, which depends on price and the   distribution of attributes among products. Their results showed that as the   variance of the error term, representing random tastes for a specific characteristic,   increases, then products with similar attributes become better substitutes.   The BLP procedure also helps to model the decision of buying the   outside product (i.e. the decision of not buying or dedicating the remaining   income to buy products outside of the bundle). However, when macro data   is not available then variables such as the market share, which is correlated   with the error term, has to be obtained through simulations over the logistic   distribution of the probability for consumer of choosing product with characteristics.</p>     <p>  Additionally, Nevo (2003) used demand systems to evaluate the determinants   and implications on welfare. He studied the effect of quality changes in   existing products and inclusion of new products. Using data for ready-to-eat   cereal, he estimated a discrete choice model and concluded that despite increases   in price, the consumed quantity had also grown because of the development   of higher quality, and so a general increase in welfare was perceived.   Precisely, the error term captured the effect of unobserved characteristics   like quality on consumer welfare.</p>     <p>  The difference between the BLP method and the approach developed   by Nevo (2003) lies on the treatment of unobserved product characteristics.   For the first authors, the error term shows the evolution of the unobserved   product characteristics, while the second assumes these characteristics are   fully represented by the residual.</p>     <p>  Nilsson, Fostrer and Lusk (2006) also used the BLP model in their study.   The random utility maximization theory helped them exemplify the demand   for certified pork chops in the United States. The discrete choice model   applied in their study allows elasticities and product substitutability to vary   between three consumer segments in the pork chops market. After evaluating   the demand elasticity, the authors showed that as the number of certification   attributes increases within each class, the own-price elasticity increases   as well. Then, although the buying probabilities are equal, the degree of   substitutability varies considerably between consumer segments. This gives   evidence on the importance of including demographic characteristics in the   specifications.</p>     <p>  Dunn (2012) developed another application of the BLP procedure in   the anti-cholesterol drug market. The author finds that risk factors and drug   insurance have a significant effect on the decision of purchasing anti-cholesterol   drugs. They also build a price index, in which quality-adjusted prices   suggest that the real price of non-statin drugs has declined over the period   from 1996 to 2007. Nonetheless, this result is independent of the variation   of the unobserved mean utility; so, under certain conditions, price is independent   of external shocks to demand.</p>     <p>  Consumer's choice can also depend on previous choices. Bass (1969) argues   that the first purchase decision follows an S-shaped pattern. The author   focuses on the diffusion theory in which the probability of adopting a new   product depends on market potential, the number of adopters, the brand,   and generational factors such as the incremental market potential. The diffusion   model approach may be suitable for analyzing the market for durable   goods. However, it does not allow studying competition among products nor   considering the demand for future products. Addressing these limitations,   Lee et al. (2006) developed a ''conjoint analysis estimation of the static random   utility function'' that preserves the generational factors, includes the   consumer's preferences for new products and allows forecasting a product's   market share. Lee et al. (2006) applied this method to estimate the future   demand for large-screen TVs in Korea. In this same fashion, Sultan (1999)   examined the individual's inter-temporal preferences for different levels of   technology in high-definition televisions.</p>     <p>  Several factors are important for the estimation of demand systems: first,   technological changes affecting the dynamics of demand are relevant for the   study of the TV market, in the sense that it helps explain consumers' expectations.   The development of new technologies accounts for a large portion   of the variation in price, making it relevant for the study of the substitution   patterns within the line of production. Second, the choice of price or level   of quality implies matching the characteristics of both the demand side and   the supply side (Epple, 1987).</p>     <p>  Moulton, LaFleur and Moses (1998) studied the TV market, particularly   the quality improvements in televisions and how this affected their price levels.   The authors used the CPI television component in the U.S. and designed   a hedonic price approach that captures the effect of innovations in the field   of sound, display and size. Their estimations yielded the following results:   important quality changes came from the surround sound, projection and   picture-in-picture inclusion. However, tied services like free delivery or console   models did not help explain the changes in price. In terms of the size   of the television, results verified that the effect of screen size on the marginal   price had fallen with the passing of years. The fact that there are many   available sizes and varieties of televisions in the market implies that it is not   difficult for consumers to choose certain size conditional on price. Moulton   et al. (1998) also determined that a typical television set remained in the sample   for less than a year, but the replacement items were selected in order to be   close enough in characteristics to the one the consumer used to have. Then,   replacements did not explain changes in quality of televisions.</p>     ]]></body>
<body><![CDATA[<p>  Utility maximization is the theory behind our specification, which depends   on vertical differentiation of goods by quality analyzed first by Gabszewicz   and Thisse (1979) in oligopolies. The television market in the United   States can also be considered an oligopoly because brand names explain   quality and price differentiation: ''a set with the same screen size and other   observable characteristics with a premium brand name, such as Sony, may sell   for as much as 50 percent more than similar television from a less prestigious   brand'' (Moulton et al., 1998, p. 9). The existence of price variations among   similar products means there are several choices for consumers over TV displays   and other attributes.</p>     <p>  Because price measurements impact the level of utility reached by a consumer,   the demand system comes from an indirect utility function that depends   on price and observable characteristics of both consumers and products. The   level of utility given certain attributes will determine the consumer's choice.   Then, utility is a discrete variable and its estimation corresponds to a discrete   choice model for which we have assumed a logistic distribution.   The statistical approach used in this paper follows the analysis of Anderson   et al. (1989). We use a multinomial logit to obtain unbiased and consistent   estimators.</p>     <p>&nbsp;</p>     <p> <font size="3"> <b>II. Empirical strategy</b></font></p>     <p>  Although price is correlated with unobservable product characteristics   (because external shocks to demand exert an upward or downward pressure   on price) and some of these characteristics are quality improvements, we   correct for endogeneity through an instrumental variable approach. In the   case of vertical product differentiation, theory also states that it is expected   that suppliers' market share is correlated with price to the extent that market   power derived from quality improvements will translate into higher prices.   Hence, we control for market share in our model.</p>     <p>  We are interested in estimating the following indirect utility function:</p>     <p><img src="/img/revistas/le/n79/n79a7e1.jpg"></p>     <p>  where <i>v<sub>ij</sub></i> is a discrete variable denoting five types of TV displays (standard   tube, LCD, plasma, projection and LED); <i>x<sub>j</sub></i> is a vector of observable   product characteristics that vary for each product <i>j; z<sub>i</sub></i> is a vector of observable   consumer characteristics that vary for each individual<i> i ; &beta; </i>and d <i>&gamma;</i> are   the vectors of coefficients describing the constant effect of products' and   consumers' observable characteristics on the probability of choosing a type   of display, respectively; and <i>&epsilon;<sub>ij</sub></i> is an i.i.d. error term for which we assume a   logistic distribution.</p>     <p>  The statistical model for the choice of TV displays is:</p>     <p><img src="/img/revistas/le/n79/n79a7e2.jpg"></p>     ]]></body>
<body><![CDATA[<p> It is important and easier for the estimation procedure that the odds ratios   do not depend on the other choices. However, consumer's behavior is determined   by the exposure to the five types of displays at the same time. To treat   this problem in a computationally simple way, suppose<i> &delta;<sub>ij</sub> = exp(x<sub>ji</sub>&beta; + z<sub>i</sub>&gamma;)</i>.   We normalize the utility of the base category (LCD display) to zero, so that   <i>&delta;</i><sub>i0</sub> = 1 as seen in equation (2). This yields the next log-likelihood function   (Greene, 2012):</p>     <p><img src="/img/revistas/le/n79/n79a7e3.jpg"></p>     <p>  The derivatives of this log-likelihood have the following form:</p>     <p><img src="/img/revistas/le/n79/n79a7e4.jpg"></p>     <p>  In the case of having data in the form of proportions, for example   market shares (<i>&eta;<sub>i</sub></i>), as in this study, the proper log- likelihood function is:</p>     <p><img src="/img/revistas/le/n79/n79a7e5.jpg"></p>     <p> and its derivatives:</p>     <p><img src="/img/revistas/le/n79/n79a7e6.jpg"></p>     <p>  In the following section, we describe our database and present some   descriptive statistics.</p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p> <font size="3"> <b>III. Data and descriptive evidence</b></font></p>     <p>  For the multinomial logit estimation, we wish to analyze the probability   and determinants of choosing a type of TV display. The public use microdata   comes from the Residential Energy Consumption Survey of 2009 (RECS)   developed by the U.S. Energy Information Administration. This database   has 12,083 household respondents and contains information on housing unit   characteristics, home appliances and electronics, fuels, housing unit measurements,   fuel bills, household characteristics, energy assistance and scanning   of fuel bills. Response rates in this survey were of 79% and the missing-value   analysis of the variables used in this article showed that there were less than   2% missing values in each of them. Therefore, we could previously determine   their inclusion in our model following Dale and Roheim (1990).</p>     <p>  We also collected information from the U.S. Energy Information   Administration regarding the amount of televisions supplied to each region   in the United States to build the cumulative market share of different TV   suppliers by region. This procedure works well because each consumer was   also identified by region, so we were able to merge these databases. The   explanatory variables used in the estimation of the multinomial logit are   reported in <a href="#t1">Table 1</a>.</p>       <p align="center"><a name="t1"></a><img src="/img/revistas/le/n79/n79a7t1.jpg"></p>       <p align="center">&nbsp;</p>     <p>  Competition in the TV market is imperfect because although there are   a lot of consumers, some suppliers (Sony, Samsung, Panasonic, LG, among   others) have market power. Product differentiation implies high profit for   firms and a large bundle of choices for consumers. Hence, to determine the   expected sign of the coefficients in our model, we characterize the television   market in this section.</p>     <p>  The supply of standard tube televisions and recent developments such   as LCD, plasma or LED is evidence that companies within this sector cannot   perfectly distinguish their consumers. Firms design menus, bundling or tying   strategies so that buyers are self-selected and they can maximize profits (Ekelund,   1970). However, the ability of a firm in this industry to discriminate   prices does not depend on its market power, as further results will show, but   on the quality of products (Hastings, 2004). Based on the available data, we   modeled the effect of price discrimination through the changes in electricity   tariffs conditional on the type of TV display. In other words, we focus on the   savings on the electricity bill (<i>Electricity cost</i>) when choosing a display.</p>     <p>  Based on this empirical approximation, we expect the coefficient for   DVD and TV audio systems to be positive for the alternatives that display a   better image. As the price of televisions is falling (see <a href="#g1">Graphic 1</a>), we can also   expect a positive effect for <i>income&gt;$100.000</i> over the probability of interest   because the income effect on TVs is positive and these are normal goods.   The sign of demographic variables is not clear. We might expect that being   male influences the most the decision of choosing large displays over small   ones, as well as more expensive or high-tech displays.</p>         <p align="center"><a name="g1"></a><img src="/img/revistas/le/n79/n79a7g1.jpg"></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p>  <a href="#g1">Graphic 1</a> shows the decreasing tendency of prices for televisions   mentioned by Moulton et al. (1998). During 2008, the CPI for televisions   was around 16 points for the month of January. The same for 2009 was   around 12 points and in 2010 it decreased until 9 points. The CPI series   for the three years shows that there have been both, structural and shortterm,   changes in the prices of TVs. This can be explained by the inclusion   of a great variety of televisions mainly by screen size and type of display.   Moreover, the price of televisions has a positive relation with the size of the   screen (Moulton et al., 1998). The decreasing tendency in price should also   be reflected in the number of televisions owned per household. Data from   the EIA demonstrates that the average number of televisions in a house has   increased from 1 in 1978 to 2.5 in 2009. In fact, over 45 percent of homes   have bought a large-screen television (approximately 37 inches or larger).</p>     <p>  The following table shows the frequencies of the discrete independent   variables used in our study and the means of the continuous variables:</p>         <p align="center"><a name="t2"></a><img src="/img/revistas/le/n79/n79a7t2.jpg"></p>     <p>&nbsp;</p>     <p>  From these statistics we can see that more than a half of the individuals   reported having televisions with a screen between 21 and 26 inches wide. A   higher percentage of the sample had televisions connected to a satellite box   (55.41%) rather than to a cable box (24.49%). Also, most of the televisions   have a DVD (51.96%) instead of a VCR (17.85%). However, just 19.24% of   the individuals have an audio system installed. With respect to the frequency   of use, most people (around 56% of the sample) use their televisions between   3 and 10 hours both during weekdays and weekends.</p>     <p>  Regarding the demographic variables, there are 5% more females than   males, but only 14% of the sample is Hispanic. Nevertheless, 31% of Hispanics   earn more than US$70,000 and part of this income is dedicated to the   payment of the electricity bill that on average charges US$1,352.</p>     <p>  The dependent variable in our study is <i>Display</i>, which denotes 5 types of   displays coded 1 for Standard tube, 2 for LCD, 3 for Plasma, 4 for Projection   and 5 for LED. From <a href="#t3">Table 3</a>, we can see that most of the individuals have a   standard tube television, which is counter-intuitive given the lower prices of   more recent screens and the innovation in the field of image display. Despite   this, the percentage of individuals with LCD TV differs only in 2 percent   from the ones having standard tube.</p>         <p align="center"><a name="t3"></a><img src="/img/revistas/le/n79/n79a7t3.jpg"></p>     <p>&nbsp;</p>     <p>  Relative frequencies are decreasing with each of the alternatives following   standard tube: only a 1.09% of individuals reported having a LED TV and   the percentage for Projection display was higher than this one.</p>     ]]></body>
<body><![CDATA[<p>  Recent TV displays come in bigger sizes and people would rather buy   large TVs with high resolution than small televisions with a good image (see   <a href="#t4">Table 4</a>). Only 10.48% of the standard tube televisions have a display of 37   inches wide or more compared to the 73.85% of LED televisions with this   screen size. For the LCD, the percentage of televisions produced with a size   between 21 and 26 inches more than doubles the percentage of plasma televisions   with these dimensions.</p>         <p align="center"><a name="t4"></a><img src="/img/revistas/le/n79/n79a7t4.jpg"></p>     <p>&nbsp;</p>     <p>  The fact that televisions with high image resolution are developed with   larger dimensions gives some insights in relation to the usage of TV audio   systems (home theater). Specifically, 8.91% of standard tube televisions   had audio systems compared to the 38.46% of LED and 34.09% of plasma   televisions (see <a href="#t5">Table 5</a>). Certainly, there exists a complementarity relation   between TV display and TV audio system. Firms that sell electronic devices   such as televisions and home theaters have incentives to develop price discrimination   mechanisms like the design of bundling and tying strategies that   affect the probability of choosing a display.</p>         <p align="center"><a name="t5"></a><img src="/img/revistas/le/n79/n79a7t5.jpg"></p>     <p>&nbsp;</p>     <p>  From <a href="#t6">Table 6</a>, high-income households prefer to buy the last technology   developed for television display. This can be noticed by the comparison   between the 50.77% of LED televisions bought by families with more than   US$70.000 annual versus the 20.68% of standard tube televisions for this   same group, followed by LCD, projection and plasma displays. Specifically,   by looking at the first column denoting the households that earn less than   $30,000 annually, the largest percentage of type of display chosen by this   group is the standard tube, followed by LCD, plasma, projection and LED.</p>         <p align="center"><a name="t6"></a><img src="/img/revistas/le/n79/n79a7t6.jpg"></p>     <p>&nbsp;</p>     <p>  Image resolution is also associated to the box connected to the mostused   TV. There are two types of boxes: satellite and cable. <a href="#t7">Table 7</a> shows the   proportion of satellite and cable boxes connected to each type of display:</p>         ]]></body>
<body><![CDATA[<p align="center"><a name="t7"></a><img src="/img/revistas/le/n79/n79a7t7.jpg"></p>     <p>&nbsp;</p>     <p>  The percentage of LED televisions connected to each type of box is not   significant compared to that of the standard tube and LCD. But these results   might be associated to the participation of LED televisions in total sales for   a supplier during the year the survey was conducted, because this display was   just entering the market. Despite the intuition behind the low participation of   LED TV by 2009, of all the televisions connected to cable boxes 41.76% were   standard tube, 43.4% LCD, 9.23% plasma, 4.36% projection and 1.25% LED.</p>     <p>  Information regarding the electronic appliances gives us insights about   the obsolescence of some devices, which no longer is compatible with the   TV display. VCR, for example, is a common device for standard tube televisions   (56.62%) but it is no longer used for LED or plasma TVs (1.08 and   5.96%, respectively). Besides this, only 1.45% of televisions with DVD were   LED, followed by 5.53% projection display, 10.35% plasma, 37.62% standard   tube and 45.05% LCD.</p>     <p>&nbsp;</p>     <p><font size="3">  <b>IV. Estimation</b></font></p>     <p> Before estimating a multinomial logit, we have to test IIA to see whether   or not this type of model is applicable. After performing the Hausman   test for the null that the different irrelevant alternatives or categories are   independent, the chi-squared statistic (51 degrees of freedom) assuming   <i>standard tube </i>as the base category yields a negative value of 22,997.22, which   fails to reject the null. In this test, a negative value for the chi-squared   estimator is very common, as noted by Hausman and McFadden (1984).   Therefore, a multinomial logit is suitable for the interest of estimating the   probability of choosing a television display.</p>     <p>  Following this conclusion, <a href="#t8">Table 8</a> presents the estimated coefficients for   the multinomial logit with <i>Standard Tube</i> as the base category.</p>         <p align="center"><a name="t8"></a><img src="/img/revistas/le/n79/n79a7t8.jpg"></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p>  Our model fits better than an empty model because the p-value associated   to the model's test of significance is less than a significance level of 1%.   The coefficients associated to the size of the television, satellite box, cable   box, combo VCR/DVD, VCR, DVD, television audio system, householder's   gender and race, and low income and high income family are significant.   When the television at home has between 21 and 26 inches, the relative log   odds of choosing an LCD display vs. standard tube decreases in 2.32 points.</p>     <p>  Variables such as having a VCR, being a low-income family and a Hispanic   householder are also associated to a negative effect in the relative log odds of   0.75, 0.33 and 0.18, respectively. While the connection to a satellite box and   a cable box, having electronic appliances like DVD and home theaters (TV   audio systems), being a high-income family and a male are all associated with   increases in this relative log odds (0.23, 0.25, 0.29, 0.47, 0.36, and 0.09 points   of increase, respectively).</p>     <p>  Focusing on the relative log odds of choosing a plasma display vs. a   standard tube, some variables such as being connected to a satellite box and   a cable box, having a combo VCR/DVD and the householder gender lose   significance. However, characteristics that are more compatible with Plasma   TVs maintain their significance; for example, TV size, VCR, DVD, audio system   and high-income family. For this specification, it is important to notice   that the expenditure in the electricity bill is significant at a 99% but its effect   over the relative log odds of choosing a Plasma TV over a standard tube TV   is very small compared to the relative log odds of the other types of screen.   And also if the household has a television audio system, this will increase the   relative log odds of choosing a Plasma television in comparison to the base   category in 0.70 points.</p>     <p>  The electronic appliances that are more compatible with some displays   are also associated to larger changes in the relative log odds as the introduction   of a type of display in the market is more recent, like in the case of LED   TV. The relative log odds of choosing a LED TV vs. a standard tube will   increase in 0.81 points when the household has a DVD, and in 0.81 points   if they have a home theater. Furthermore, during 2009 the prices of Plasma   televisions and LED TV did not converge as they do in recent years. This   is why the effect of belonging to the high-income group is larger for LED   than for Plasma: having an income higher than US$ 65,000 is related to a 0.69   point increase in the relative log odds of choosing LED over Standard tube.</p>     <p>  On one side, for all specifications of the relative log odds, the estimated   coefficient for the television size is significant and negative: when it has between   21 and 26 inches wide, a decrease in the relative log odds of choosing   any type of display over the standard tube occurs. This finding is related to   the fact that consumers would rather buy a large LCD, Plasma or LED TV   than a small one because improvement in quality of the image displayed   compensates the relative increase in price. So the category for televisions   with a larger size (over 37 inches) is expected to have an increasing effect or   at least no effect on the relative log odds compared to the categories of less   than 21 inches and between 21 and 26 inches wide.</p>     <p>  On the other hand, the effect of demographic characteristics is not significant   for all specifications. In the case of the householder gender, males tend   to choose high-tech large displays over the standard tube and small displays.   For the relative log odds of choosing a projection and a LED display over   the base category, the increase associated to being a male is of 0.62 and 0.32   points, respectively. The only reason for the existing relation between gender   and television size to be relevant is the increase associated to choosing a projection   display, which is the largest in magnitude compared to other types of   screen. Moreover, projection displays are not produced in small sizes; rather,   their size is usually larger than 52 inches.</p>     <p>  The expenditure in electricity is considered to capture the effect of price   on the relative log odds of choosing display<i> j.</i> However, from <a href="#t8">Table 8</a>   the effect of the electricity cost is not significant for all specifications. This   implies that savings in the electricity bill are not relevant for the consumer's   decision or, additionally, the electricity expenditure does not vary significantly   by type of display when all the other characteristics are considered.</p>     <p>  Although the theory of vertical differentiation in the presence of oligopolistic   markets states that market power is a source of higher levels of   prices, the measurement of the share value for each type of display was not   significant in any of the specifications. Firms should try designing menus,   tying sales or bundling sales to maximize profit. This idea is based on the   significance of demographic characteristics associated to the socioeconomic   status of the household: belonging to the high-income group is significant   for explaining the changes in the odds of choosing any type of display in   relation to standard tube.</p>     <p>  Next we will analyze the magnitude and direction of the effect of the   explanatory variables in the probability of choosing each type of screen, independently of the base category. <a href="#t9">Table 9</a> reports the estimations for the   marginal effects.</p>         <p align="center"><a name="t9"></a><img src="/img/revistas/le/n79/n79a7t9.jpg"></p>     ]]></body>
<body><![CDATA[<p>&nbsp;</p>     <p>  The marginal effect of <i>Size less than 26 inches</i> is negative for all the probabilities   reported. A television with this characteristic generates a decrease in   the probability of choosing a LCD display of 29 percentage points, a Plasma   TV of 13, Projection of 9.5 and LED TV of 1 percentage point.</p>     <p>  For cable box and satellite box, their effect is significant only for LCD   TVs. Once again, electronic appliances that can be combined with the use   of television displays and demographic characteristics are also relevant to   explain variations of the probability. Specifically, the larger effect among the   electronic appliances comes from the television audio system, which generates a 7.4 percentage point increase in the probability of choosing LCD compared   to the 5.3 increase of having DVD. In terms of demographics, belonging   to the high-income group and being a male produce an increase of 6.8   and 1.4 percentage points, respectively, in this same probability. Reductions   come from having a combo VCR/DVD, VCR, belonging to the low-income   group and being Hispanic.</p>     <p>  For plasma televisions, the marginal effect of gender and low-income   household are not significant. Therefore, these variables do not affect the   probability of choosing this type of display compared to that of standard   tube. Also, having a DVD increases the probability of choosing Plasma in   1.4 percentage points and being a high-income household increases it in 1.3   percentage points. For this display, the magnitude of the effect of having a   television audio system is 4 percentage points less than LCD's.</p>     <p>  In the case of projection displays, the frequency of use has a significant   impact over the probability of choosing it: when the television is used   for more than 10 hours during the weekends, the probability of choosing a   projection display increases by 0.6 percentage points. As mentioned before,   men's decision weights the most when deciding whether to buy a large TV or   not. This explains why, in the case of Projection displays, being a male has a   positive and significant effect over the probability of choosing this type of   screen. Despite this finding, other demographic variables such as income level   and race have no significant effect. Then, in the particular case of usage,   television audio system and gender are the determinants of the increasing   effect on the probability of choosing a projection display in relation to the   base category.</p>     <p>  As of 2009, LED TVs is the most recent television development in the   market. Most of the explanatory variables have no effect on the probability   of choosing this display over the rest. As stated before, consumers prefer to   have large high-tech screens, which is why the effect of having a display of   between 21 and 26 inches wide lowers the probability of choosing LED TV   in 1.04 percentage points. Some electronic appliances like DVD and the TV   audio system are positively related to this probability, as well as belonging to   the high-income group of households.</p>     <p>  Summarizing these findings, televisions nowadays come in bigger sizes.   But, despite their size and quality improvements, price does not seem to reflect   these changes. As noted from the CPI television component, the price   of televisions is falling over time.</p>     <p>  Most of the individuals in the sample tie the purchase of TV displays   with other electronic appliances, mostly with DVDs and audio systems. These   products are very important in explaining consumer's decision. However,   the frequency of use does not affect it, though descriptive statistics showed   that most individuals turned on their TVs between 3 and 10 hours both during   weekdays and weekends.</p>     <p>  Some demographic variables also seem to influence the consumer's decision:   in the case of gender, males prefer larger screens to small ones. Particularly,   being Hispanic only affects the probability of choosing LCD and Plasma,   but the intuition behind this finding is not very clear at first sight, which   is why we have to look at the relation between race and income level. In this   sense, 35% of the individuals are Hispanics who earn less than US$30,000,   which is the income group that chooses LCD the least. This explains why   the effect of race on the probability of choosing LCD TVs is negative. Also,   47% are Hispanics with an income between US$30,000 and US$70,000. Individuals   within this group are the ones who choose a large portion of Plasma   televisions as reported in <a href="#t6">Table 6</a>, which explains its positive effect on the   probability of choosing a Plasma display.</p>     <p>  According to the socioeconomic status, <a href="#g2">Graphic 2</a> shows how the probability   of choosing LCD, Plasma and LED TVs changes when the individual   passes from a low-income group (less than US$30,000) to a middle-income   group (between US$30,000 and US$70,000) and to a high-income group   (more than US$70,000). All these probabilities are increasing with respect to   income: while the relation for LCD TVs is linear, the probability of choosing   a Plasma TV increases more significantly when the individual passes from the   middle-income to the high-income (from 0.74 to 0.86) group, as well as for   LED TV (from 0.009 to 0.015).</p>         ]]></body>
<body><![CDATA[<p align="center"><a name="g2"></a><img src="/img/revistas/le/n79/n79a7g2.jpg"></p>     <p>&nbsp;</p>     <p>  For 2009, our model predicts that for the average individual (for which   the variables take their mean value) 51% of the televisions chosen would be   LCD, 7.6% Plasma, 1.2% Projection, and a very low percentage LED TVs   that at the time were just entering the market (see <a href="#t10">Table 10</a>). When the probability   is calculated on the minimum value for each variable, the prediction   for LCD, Plasma and Projection displays are higher by approximately 8%, 4%   and 5%, respectively. Finally, when the probability is calculated in the maximum   value for each variable, the predictions decrease considerably except for   plasma displays.</p>         <p align="center"><a name="t10"></a><img src="/img/revistas/le/n79/n79a7t10.jpg"></p>     <p>&nbsp;</p>     <p>  In the following section we will address the main conclusions obtained   from the study.</p>     <p>&nbsp;</p>     <p><font size="3"> <b>Conclusions, implications, limitations and future lines of research</b></font></p>     <p> The television market has been a source of innovation and product development.   Firms in this market cannot perfectly identify the type of consumer.   Instead, they develop several products within one line of production.   This strategic behavior increases the varieties of products among which consumers   choose. In this case, they face the decision of choosing one type of   display among standard tube, LCD, plasma, projection and LED. The decision   is conditional on demographics and observable product characteristics   like size, frequency of use and the electronic appliances connected to the TV.   Our findings suggest that most of the televisions chosen by consumers were   LCD, while LED TVs had the least probability among the five choices. Moreover, the use of electronic appliances increased the probability of choosing   high-tech displays.</p>     <p>Further evidence shows that the price of TVs has been falling over a   long period. Thus, price might not be relevant in explaining the decision of   consumers over the type of display, as it can also be associated to an inelastic   demand. This fact is important for managerial decisions: in the market for   durable goods, demand inelasticity allows firms to increase their market share   not through price increases but through quality improvements, which in turn   accounts for more consumers buying their products. Other marketing strategies   such as bundling or tying sales facilitate the identification of consumers   and also allow firms to charge higher prices. However, in the TV market,   lower prices and greater variety could explain the larger consumer surplus,   and an overall increase in welfare is to be expected.</p>     ]]></body>
<body><![CDATA[<p> An increase in market share means higher profits. The inclusion of the   variable <i>share</i> in our specifications yielded no significant results. This represented   a limitation in our study because predicting market share is one of the   main results of a BLP model, and this empirical approximation constitutes a   first step to such estimation. Thus, future research should use non-parametric   techniques to obtain the probability distribution of the market share and   enable its prediction. Our data did not contain information about brands,   so its impact on the consumer's decision could not be obtained directly. Nonetheless,   we assume brand is correlated with quality. The frequency of use   and the value of the electricity bill were not relevant for the probability of   interest, either.</p>     <p> In this type of market, only observable product characteristics for which   consumers have available information are significant to the estimation of   the relative log odds of choosing a type of display over the base category,   standard tube. Among these are size and cable box connection. Demographic   characteristics, among which are gender, race and socioeconomic status,   impact the most in the decision. This is how we know that the probability of   choosing large high-tech displays is larger for males than for females.</p>     <p>&nbsp;</p>     <p> <font size="3"> <b>References</b></font></p>     <!-- ref --><p> Anderson, Simon P.; De Palma, Andr&eacute; and Thisse, Jacques-Fran&ccedil;ois (1989).   ''Demand for Differentiated Products, Discrete Choice Models and the   Characteristics Approach'', <i>The Review of Economic Studies</i>, Vol. 56, pp.   21-35.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000147&pid=S0120-2596201300020000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p> Archibald, George; Eaton, B. Curtis and Lipsey, Richard G. (1986). ''Address   Models of Value Theory''. In: Stiglitz J. E and Mathewson, G. F.   (eds.) <i>New Developments in the Analysis of Market Structure</i>. London:   Macmillan.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000149&pid=S0120-2596201300020000700002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p> Bass, Frank (1969). ''A New Product Growth Model for Consumer Durables'',   <i>Management Science</i>, Vol. 15, pp. 215-227.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000151&pid=S0120-2596201300020000700003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     ]]></body>
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