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A Likelihood Approach to Estimating Market Equilibrium Models

Author

Listed:
  • Michaela Draganska

    () (Graduate School of Business, Stanford University, Stanford, California 94305-5015.)

  • Dipak Jain

    () (Kellogg School of Management, Northwestern University, Evanston, Illinois 60208-2001.)

Abstract

This paper develops a new likelihood-based method for the simultaneous estimation of structural demand-and-supply models for markets with differentiated products. We specify an individual-level discrete-choice model of demand and derive the supply side assuming manufacturers compete in prices. The proposed estimation method considers price endogeneity through simultaneous estimation of demand and supply, allows for consumer heterogeneity, and incorporates a pricing rule consistent with economic theory. The basic idea behind the proposed estimation procedure is to simulate prices and choice probabilities by solving for the market equilibrium. By repeating this many times, we obtain an empirical distribution of equilibrium prices and probabilities. The empirical distribution is then smoothed and used in a likelihood procedure to estimate the parameters of the model. The advantage of this method is that it avoids the need to perform a transformation of variables. If the tastes of consumers are independent across market periods, our approach yields maximum likelihood estimates; otherwise, it yields consistent but not fully efficient partial likelihood estimates.

Suggested Citation

  • Michaela Draganska & Dipak Jain, 2004. "A Likelihood Approach to Estimating Market Equilibrium Models," Management Science, INFORMS, vol. 50(5), pages 605-616, May.
  • Handle: RePEc:inm:ormnsc:v:50:y:2004:i:5:p:605-616
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    File URL: http://dx.doi.org/10.1287/mnsc.1040.0227
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    References listed on IDEAS

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    1. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September.
    2. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    3. David Besanko & Jean-Pierre Dubé & Sachin Gupta, 2003. "Competitive Price Discrimination Strategies in a Vertical Channel Using Aggregate Retail Data," Management Science, INFORMS, vol. 49(9), pages 1121-1138, September.
    4. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-1057, September.
    5. David Besanko & Sachin Gupta & Dipak Jain, 1998. "Logit Demand Estimation Under Competitive Pricing Behavior: An Equilibrium Framework," Management Science, INFORMS, vol. 44(11-Part-1), pages 1533-1547, November.
    6. Slade, Margaret E, 1995. "Product Rivalry with Multiple Strategic Weapons: An Analysis of Price and Advertising Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 445-476, Fall.
    7. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    8. Austan Goolsbee & Amil Petrin, 2004. "The Consumer Gains from Direct Broadcast Satellites and the Competition with Cable TV," Econometrica, Econometric Society, vol. 72(2), pages 351-381, March.
    9. Peter M. Guadagni & John D. C. Little, 1983. "A Logit Model of Brand Choice Calibrated on Scanner Data," Marketing Science, INFORMS, vol. 2(3), pages 203-238.
    10. Füsun Gönül & Kannan Srinivasan, 1993. "Modeling Multiple Sources of Heterogeneity in Multinomial Logit Models: Methodological and Managerial Issues," Marketing Science, INFORMS, vol. 12(3), pages 213-229.
    11. Sha Yang & Yuxin Chen & Greg Allenby, 2003. "Reply to Comments on “Bayesian Analysis of Simultaneous Demand and Supply”," Quantitative Marketing and Economics (QME), Springer, vol. 1(3), pages 299-304, September.
    12. John Kennan, 1989. "Simultaneous Equations Bias in Disaggregated Econometric Models," Review of Economic Studies, Oxford University Press, vol. 56(1), pages 151-156.
    13. Burnkrant, Robert E & Unnava, H Rao, 1995. " Effects of Self-Referencing on Persuasion," Journal of Consumer Research, Oxford University Press, vol. 22(1), pages 17-26, June.
    14. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    15. Naufel J. Vilcassim & Vrinda Kadiyali & Pradeep K. Chintagunta, 1999. "Investigating Dynamic Multifirm Market Interactions in Price and Advertising," Management Science, INFORMS, vol. 45(4), pages 499-518, April.
    16. Sha Yang & Yuxin Chen & Greg Allenby, 2003. "Bayesian Analysis of Simultaneous Demand and Supply," Quantitative Marketing and Economics (QME), Springer, vol. 1(3), pages 251-275, September.
    17. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
    18. J. Miguel Villas-Boas & Russell S. Winer, 1999. "Endogeneity in Brand Choice Models," Management Science, INFORMS, vol. 45(10), pages 1324-1338, October.
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    Cited by:

    1. Joseph Pancras & S. Sriram & V. Kumar, 2012. "Empirical Investigation of Retail Expansion and Cannibalization in a Dynamic Environment," Management Science, INFORMS, vol. 58(11), pages 2001-2018, November.
    2. Christopher T. Conlon & Julie Holland Mortimer, 2013. "Demand Estimation under Incomplete Product Availability," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 1-30, November.
    3. repec:eee:ijrema:v:28:y:2011:i:2:p:76-88 is not listed on IDEAS

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