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The effects of statistically dependent values on equilibrium strategies of bilateral k-double auctions

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  • Gresik, Thomas A.

Abstract

This paper describes how introducing statistical dependency among trader values changes the equilibrium bidding strategies in bilateral k-double auctions and uses the special case of affiliation to illustrate the range of equilibrium responses to a change in the value distribution. Consistent with standard intuition, a change from independent to strictly affiliated valuations can result in high-value buyers and low-value sellers bidding closer to their actual values while low-value buyers and high-value sellers distort their bids farther from their true values. However, there also exist equilibria for which either type of trader responds to a change in the distribution of values in the opposite direction. Whether a given trader bids more aggressively or less aggressively can also be non-monotonic with respect to the trader's value.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 72 (2011)
Issue (Month): 1 (May)
Pages: 139-148

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Handle: RePEc:eee:gamebe:v:72:y:2011:i:1:p:139-148

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Double auctions Statistically dependent valuations Affiliation;

References

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  1. Luciano I. de Castro, 2007. "Affiliation, equilibrium existence and the revenue ranking of auctions," Economics Working Papers we074622, Universidad Carlos III, Departamento de Economía.
  2. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
  3. Steven R. Williams & Georgia Kosmopoulou, 1998. "The robustness of the independent private value model in Bayesian mechanism design," Economic Theory, Springer, vol. 12(2), pages 393-421.
  4. Jackson, Matthew O. & Jeroen Swinkels, 2004. "Existence of Equilibrium in Single and Double Private Value Auctions," Working Papers 1192, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. Martin W Cripps & Jeroen M Swinkels, 2003. "Efficiency of Large Double Auctions," Levine's Working Paper Archive 666156000000000329, David K. Levine.
  6. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  7. Fudenberg, Drew & Mobius, Markus & Szeidl, Adam, 2007. "Existence of Equilibrium in Large Double Auctions," Scholarly Articles 3043420, Harvard University Department of Economics.
  8. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, 09.
  9. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February.
  10. Kadan, Ohad, 2007. "Equilibrium in the two-player, k-double auction with affiliated private values," Journal of Economic Theory, Elsevier, vol. 135(1), pages 495-513, July.
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