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A Gibbs Sampler for Mixed Logit Analysis of Differentiated Product Markets Using Aggregate Data

Author

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  • Charles J. Romeo

Abstract

Berry, Levinsohn, and Pakes (1995) developed an estimator for an equilibium model of differentiated products markets using aggregate data, without assuming the existence of a representative agent, or imposing prior restrictions on elasticities. Their estimator though, was computationally burdensome as it required an estimate of aggregate demand in each iteration in search of the mode of their GMM objective function. By imposing additional distributional assumptions for the errors in the demand and supply relations, we show how to define a Gibbs sampler that solves the same problem while avoiding problem of estimating aggregate demand. A comparison of the estimators indicates that this should substantially reduce the computational burden, thereby making study of this important class of problems accessible to a wider group of researchers.

Suggested Citation

  • Charles J. Romeo, 2001. "A Gibbs Sampler for Mixed Logit Analysis of Differentiated Product Markets Using Aggregate Data," Computing in Economics and Finance 2001 106, Society for Computational Economics.
    • Handle: RePEc:sce:scecf1:106
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    More about this item

    Keywords

    Gibbs Sampler; Mixed Logit; Differentiated Product Markets;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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