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A Strategic Theory of Markets

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  • Eiichiro Kazumori

    (The University of Tokyo)

Abstract

This paper investigates the asymptotic behavior of a Bayesian Nash equilibrium in uniform price double auctions among buyers and sellers with a unit demand and supply who receive private signals independently and identically distributed conditional on the unknown state with the monotone likelihood ratio condition and have interdependent values with a strictly private value element. Every nontrivial mixed strategy Bayesian Nash equilibrium converges to the fully revealing rational expectation equilibrium as the number of buyers and sellers increases and the bid step size goes to zero. A monotone pure strategy Bayesian Nash equilibrium exists in sufficiently large finite economies, and provides a consistent and asymptotically normal estimator of the unknown value when the set of possible bids is continuous.

Suggested Citation

  • Eiichiro Kazumori, 2008. "A Strategic Theory of Markets," CARF F-Series CARF-F-143, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    • Handle: RePEc:cfi:fseres:cf143
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    File URL: https://www.carf.e.u-tokyo.ac.jp/old/pdf/workingpaper/fseries/148.pdf
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    References listed on IDEAS

    as
    1. Matthew O. Jackson & Jeroen M. Swinkels, 2005. "Existence of Equilibrium in Single and Double Private Value Auctions," Econometrica, Econometric Society, vol. 73(1), pages 93-139, January.
    2. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525, January.
    3. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, January.
    4. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 541-559.
    5. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    6. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, January.
    7. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
    8. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    9. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    10. Milgrom, Paul R, 1979. "A Convergence Theorem for Competitive Bidding with Differential Information," Econometrica, Econometric Society, vol. 47(3), pages 679-688, May.
    11. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, July.
    12. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, January.
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