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Estimating search with learning

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Author Info
Sergei Koulayev () (Department of Economics, Columbia University)

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Abstract

In this paper we estimate a structural model of search for differentiated products, using a unique dataset of individual search histories for hotels online. We propose and implement an identification strategy that allows to separately estimate consumer's beliefs, search costs and preferences. Learning plays an essential role in this strategy: it creates variation of posterior beliefs across consumers that's orthogonal to variation in search costs. We obtain two kinds of results. First, we estimate consumer's demand from the search model and compare it to results from the static model. We find that ignoring the endogeneity of choice sets leads to biased estimates: in particular, the aggregate price elasticity is over-estimated by about 80%. Second, we attempt to evaluate an empirical performance of a model of rational search. The mean search cost is estimated to be around 40 dollars, and median is 30 dollars; however, there is also a significant variation of search costs among population. A test between models of search from known (Stigler 1967) and from unknown (Rothschild 1974) distribution favors the second one: we find a statistically significant amount of Bayesian learning, even though it doesn't seem to affect demand estimates in an economically meaningful way.

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Publisher Info
Paper provided by NET Institute in its series Working Papers with number 08-29.

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Length: 59 pages
Date of creation: Oct 2008
Date of revision: Oct 2008
Handle: RePEc:net:wpaper:0829

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Web page: http://www.NETinst.org/

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Related research
Keywords: consumer search; online markets; structural estimation; maximum likelihood;

Other versions of this item:

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Rothschild, Michael, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 689-711, July/Aug.. [Downloadable!] (restricted)
  2. Eckstein, Zvi & Wolpin, Kenneth I, 1995. "Duration to First Job and the Return to Schooling: Estimates from a Search-Matching Model," Review of Economic Studies, Blackwell Publishing, vol. 62(2), pages 263-86, April. [Downloadable!] (restricted)
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  3. Moraga-González, José Luis & Wildenbeest, Matthijs R., 2008. "Maximum likelihood estimation of search costs," European Economic Review, Elsevier, vol. 52(5), pages 820-848, July. [Downloadable!] (restricted)
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  5. Wolinsky, Asher, 1987. "Matching, search, and bargaining," Journal of Economic Theory, Elsevier, vol. 42(2), pages 311-333, August. [Downloadable!] (restricted)
  6. Albrecht, James W & Axell, Bo, 1984. "An Equilibrium Model of Search Unemployment," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 824-40, October. [Downloadable!] (restricted)
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  7. Matthew S. Dey & Christopher J. Flinn, 2005. "An Equilibrium Model of Health Insurance Provision and Wage Determination," Econometrica, Econometric Society, vol. 73(2), pages 571-627, 03. [Downloadable!] (restricted)
    Other versions:
  8. Mortensen, Dale T. & Pissarides, Christopher A., 1999. "New developments in models of search in the labor market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 39, pages 2567-2627 Elsevier. [Downloadable!] (restricted)
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  9. Eckstein, Zvi & van den Berg, Gerard J., 2007. "Empirical labor search: A survey," Journal of Econometrics, Elsevier, vol. 136(2), pages 531-564, February. [Downloadable!] (restricted)
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  10. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June. [Downloadable!] (restricted)
  11. Gregory S. Crawford & Matthew Shum, 2005. "Uncertainty and Learning in Pharmaceutical Demand," Econometrica, Econometric Society, vol. 73(4), pages 1137-1173, 07. [Downloadable!] (restricted)
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  14. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage Bargaining with On-the-Job Search: Theory and Evidence," Econometrica, Econometric Society, vol. 74(2), pages 323-364, 03. [Downloadable!] (restricted)
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  15. Richard Rogerson & Robert Shimer & Randall Wright, 2005. "Search-Theoretic Models of the Labor Market: A Survey," Journal of Economic Literature, American Economic Association, vol. 43(4), pages 959-988, December. [Downloadable!] (restricted)
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  16. Tülin Erdem & Michael Keane & T. Öncü & Judi Strebel, 2005. "Learning About Computers: An Analysis of Information Search and Technology Choice," Quantitative Marketing and Economics, Springer, vol. 3(3), pages 207-247, September. [Downloadable!] (restricted)
  17. Ali Hortaç Su & Chad Syverson, 2004. "Product Differentiation, Search Costs, And Competition in the Mutual Fund Industry: A Case Study of S&P 500 Index Funds," The Quarterly Journal of Economics, MIT Press, vol. 119(2), pages 403-456, May. [Downloadable!] (restricted)
  18. Bikhchandani, Sushil & Sharma, Sunil, 1996. "Optimal search with learning," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 333-359. [Downloadable!] (restricted)
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  19. Yongmin Chen & Michael H. Riordan, 2008. "Price-increasing competition," RAND Journal of Economics, RAND Corporation, vol. 39(4), pages 1042-1058. [Downloadable!] (restricted)
  20. Kohn, Meir G. & Shavell, Steven, 1974. "The theory of search," Journal of Economic Theory, Elsevier, vol. 9(2), pages 93-123, October. [Downloadable!] (restricted)
  21. Rosenfield, Donald B. & Shapiro, Roy D., 1981. "Optimal adaptive price search," Journal of Economic Theory, Elsevier, vol. 25(1), pages 1-20, August. [Downloadable!] (restricted)
  22. Daniel A. Ackerberg, 2003. "Advertising, learning, and consumer choice in experience good markets: an empirical examination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1007-1040, 08. [Downloadable!] (restricted)
  23. Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September. [Downloadable!] (restricted)
  24. Anderson, S.P. & Renault, R., 1997. "Pricing, Product Diversity and Search Costs: A Bertrand-Chamberlin-Diamond Model," Papers 97.481, Toulouse - GREMAQ.
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