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Non-Monotone Comparative Statics in Games of Incomplete Information

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Abstract

This paper analyses comparative statics for two classes of n-player games of incomplete information with continuous action spaces. The two classes are defined by differences in the payoff and behaviour of the weakest type: the lowest value bidder or highest cost firm. We show that in "weakly competitive games", including all-pay auctions and some oligopoly models, weak types will respond to a stochastically higher distribution of types by playing less aggressively. In "strongly competitive" games, all types play more aggressively. Furthermore, we show that a decrease in dispersion of types, in the sense of a refinement of second order stochastic dominance, although also associated with an increase in competitiveness, may in addition result in less aggressive play by strong types in both strongly and weakly competitive games.

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  • Ed Hopkins & Tatiana Kornienko, 2004. "Non-Monotone Comparative Statics in Games of Incomplete Information," ESE Discussion Papers 122, Edinburgh School of Economics, University of Edinburgh.
  • Handle: RePEc:edn:esedps:122
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    1. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
    2. Jacob K. Goeree & Theo Offerman, 2003. "Competitive Bidding in Auctions with Private and Common Values," Economic Journal, Royal Economic Society, vol. 113(489), pages 598-613, July.
    3. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 439-454.
    4. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    5. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    6. Bagwell, Kyle & Wolinsky, Asher, 2002. "Game theory and industrial organization," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 49, pages 1851-1895 Elsevier.
    7. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    8. Larry Samuelson, 2004. "Information-Based Relative Consumption Effects," Econometrica, Econometric Society, vol. 72(1), pages 93-118, January.
    9. Ed Hopkins & Tatiana Kornienko, 2004. "Running to Keep in the Same Place: Consumer Choice as a Game of Status," American Economic Review, American Economic Association, vol. 94(4), pages 1085-1107, September.
    10. Kagel, John H. & Levin, Dan, 1986. "The Winner's Curse and Public Information in Common Value Auctions," American Economic Review, American Economic Association, vol. 76(5), pages 894-920, December.
    11. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    12. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    13. Ramos, Hector M. & Ollero, Jorge & Sordo, Miguel A., 2000. "A Sufficient Condition for Generalized Lorenz Order," Journal of Economic Theory, Elsevier, vol. 90(2), pages 286-292, February.
    14. John H. Kagel & Colin M. Campbell & Dan Levin, 1999. "The Winner's Curse and Public Information in Common Value Auctions: Reply," American Economic Review, American Economic Association, vol. 89(1), pages 325-334, March.
    15. Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
    16. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 187-223.
    17. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    18. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    19. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    20. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
    21. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
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    Cited by:

    1. Ed Hopkins & Tatiana Kornienko, 2006. "Which Inequality? The Inequality of Resources Versus the Inequality of Rewards," Levine's Bibliography 784828000000000621, UCLA Department of Economics.

    More about this item

    Keywords

    monotone likelihood ratio; monotone probability ratio; conditional stochastic dominance; generalized Lorenz order; comparative statics; games of incomplete information; first price auctions;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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