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Quantal response equilibria for posted offer-markets

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  • Gladys López-Acevedo

    (Banco Mundial)

Abstract

There is a growing body of data from game theory and industrial organization experiments that reveals systematic deviations from Nash equilibrium behavior. In this paper, the perfectly rational decision making embodied in Bertrand Nash equilibrium is generalized to allow for endogenously determined decision errors. Closed form solutions for equilibrium price distributions with endogenous errors are derived for several different models. In some of these models, the price distribution in a quantal response equilibrium, QRE, is affected by changes in structural variables although the Nash equilibrium remains unaltered. The quantal response approach is appealing since it thereby accounts for systematic deviations from the Bertrand Nash equilibrium.

Suggested Citation

  • Gladys López-Acevedo, 1997. "Quantal response equilibria for posted offer-markets," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 12(2), pages 95-131.
    • Handle: RePEc:emx:esteco:v:12:y:1997:i:2:p:95-131
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    References listed on IDEAS

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    1. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    2. Perloff, Jeffrey M & Salop, Steven C, 1986. "Firm-Specific Information, Product Differentiation, and Industry Equilibrium," Oxford Economic Papers, Oxford University Press, vol. 38(0), pages 184-202, Suppl. No.
    3. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    4. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457, Elsevier.
    5. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    6. Banks Jeffrey & Camerer Colin & Porter David, 1994. "An Experimental Analysis of Nash Refinements in Signaling Games," Games and Economic Behavior, Elsevier, vol. 6(1), pages 1-31, January.
    7. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    8. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    9. Lakshmi-Ratan, Ramnath A. & Lanning, Steven G. & Rotondo, John A., 1991. "An aggregate contextual choice model for estimating demand for new products from a laboratory choice experiment," Journal of Business Research, Elsevier, vol. 23(3), pages 201-218, November.
    10. Brown, James N & Rosenthal, Robert W, 1990. "Testing the Minimax Hypothesis: A Re-examination of O'Neill's Game Experiment," Econometrica, Econometric Society, vol. 58(5), pages 1065-1081, September.
    11. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
    12. Binmore, Ken, 1988. "Modeling Rational Players: Part II," Economics and Philosophy, Cambridge University Press, vol. 4(1), pages 9-55, April.
    13. Beja, Avraham, 1992. "Imperfect equilibrium," Games and Economic Behavior, Elsevier, vol. 4(1), pages 18-36, January.
    14. Brandts, Jordi & Holt, Charles A, 1992. "An Experimental Test of Equilibrium Dominance in Signaling Games," American Economic Review, American Economic Association, vol. 82(5), pages 1350-1365, December.
    15. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    16. Amos Tversky & Itamar Simonson, 1993. "Context-Dependent Preferences," Management Science, INFORMS, vol. 39(10), pages 1179-1189, October.
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    Cited by:

    1. Oswaldo Gressani, 2015. "Endogeneous Quantal Response Equilibrium for Normal Form Games," DEM Discussion Paper Series 15-18, Department of Economics at the University of Luxembourg.
    2. Blavatskyy, Pavlo, 2018. "Oligopolistic price competition with a continuous demand," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 123-131.
    3. Ralph-C. Bayer & Hang Wu & Mickey Chan, 2014. "Special Section: Experiments on Learning, Methods, and Voting," Pacific Economic Review, Wiley Blackwell, vol. 19(3), pages 278-295, August.
    4. Michael R. Baye & John Morgan, 2004. "Price Dispersion in the Lab and on the Internet: Theory and Evidence," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 448-466, Autumn.
    5. Martin Dufwenberg & Uri Gneezy & Jacob Goeree & Rosemarie Nagel, 2007. "Price floors and competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 211-224, October.
    6. Gressani, O., 2015. "Endogeneous Quantal Response Equilibrium for Normal Form Games," LIDAM Discussion Papers CORE 2015053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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