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Explaining Price Dispersion and Dynamics in Laboratory Bertrand Markets

Author

Listed:
  • Ralph-C. Bayer

    (School of Economics, University of Adelaide)

  • Hang Wu

    (School of Economics, University of Adelaide)

  • Mickey Chan

    (School of Economics, University of Adelaide)

Abstract

This paper develops a quantal-response adaptive learning model which combines sellers' bounded rationality with adaptive belief learning in order to explain price dispersion and dynamics in laboratory Bertrand markets with perfect information. In the model, sellers hold beliefs about their opponents’ strategies and play quantal best responses to these beliefs. After each period, sellers update their beliefs based on the information learned from previous play. Maximum likelihood estimation suggests that when sellers have full past price information, the learning model explains price dispersion within periods and the dynamics across periods. The fit is particularly good if one allows for sellers being risk averse. In contrast, Quantal Response Equilibrium does not organize the data well.

Suggested Citation

  • Ralph-C. Bayer & Hang Wu & Mickey Chan, 2013. "Explaining Price Dispersion and Dynamics in Laboratory Bertrand Markets," School of Economics and Public Policy Working Papers 2013-16, University of Adelaide, School of Economics and Public Policy.
  • Handle: RePEc:adl:wpaper:2013-16
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    File URL: https://media.adelaide.edu.au/economics/papers/doc/wp2013-16.pdf
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    References listed on IDEAS

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    1. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    2. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
    3. Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
    4. Bruttel, Lisa V., 2009. "Group dynamics in experimental studies--The Bertrand Paradox revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 51-63, January.
    5. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    6. Rosenthal, Robert W, 1989. "A Bounded-Rationality Approach to the Study of Noncooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 273-291.
    7. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    8. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
    9. Reinganum, Jennifer F, 1979. "A Simple Model of Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 851-858, August.
    10. Ralph-C Bayer & Changxia Ke, 2011. "Are "Rockets and Feathers" Caused by Search or Informational Frictions," Working Papers are_rockets_and_feathers_, Max Planck Institute for Tax Law and Public Finance.
    11. Michael T. Rauh, 2001. "Heterogeneous beliefs, price dispersion, and welfare-improving price controls," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 577-603.
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    Cited by:

    1. Ralph-C. Bayer & Hang Wu, 2013. "Do We Learn from Our Own Experience or from Observing Others?," School of Economics and Public Policy Working Papers 2013-21, University of Adelaide, School of Economics and Public Policy.

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    More about this item

    Keywords

    Price dispersion; Adaptive Learning; Bounded rationality; Quantal Response Equilibrium.;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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