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Filling Out the Instrument Set in Mixed Logit Demand Systems for Aggregate Data

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  • Charles J. Romeo

    (Economic Analysis Group, Antitrust Division, U.S. Department of Justice)

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    Abstract

    The random parameters logit model for aggregate data introduced by Berry, Levinsohn, and Pakes (1995) has been a driving force in empirical industrial organization for more than a decade. While these models are identified in theory, identification problems often occur in practice. In this paper we introduce the means of included demographics as a new set of readily available instruments that have the potential to substantially improve numerical performance in a variety of contexts. We use a set of endogenous price simulations to demonstrate that they are valid, and we use a real data illustration to demonstrate that they improve the numerical properties of the GMM objective function. In addition, we develop a metric that decomposes the explanatory power of the model into the proportion of market share variation that is explained by mean utility and that which is explained by the heterogeneity specification.

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    Bibliographic Info

    Paper provided by Department of Justice, Antitrust Division in its series EAG Discussions Papers with number 201003.

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    Length: 44 pages
    Date of creation: Apr 2010
    Date of revision:
    Handle: RePEc:doj:eagpap:201003

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    Postal: Department of Justice Antitrust Division 450 Fifth Street NW Washington, DC 20530
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    Web page: http://www.justice.gov/atr/
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    Related research

    Keywords: random coefficients; instrumental variables; identification; GMM; Beer;

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    Cited by:
    1. Abe Dunn, 2012. "Drug Innovations and Welfare Measures Computed from Market Demand: The Case of Anti-cholesterol Drugs," American Economic Journal: Applied Economics, American Economic Association, vol. 4(3), pages 167-89, July.
    2. Ken Heyer & Carl Shapiro, 2010. "The Year in Review: Economics at the Antitrust Division, 2009–2010," Review of Industrial Organization, Springer, vol. 37(4), pages 291-307, December.

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