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An order-centric treatment of the Bayesian supermodular game

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  • Jian Yang
  • Xiangtong Qi

Abstract

We take an order-centric approach to an incomplete-information version of the supermodular game (SG). In particular, we first introduce concepts related to ordered normal form games and the stochastic dominance order. Then, we work on a Bayesian SG, for which we show the existence of a monotone equilibrium and its monotonic trend as the player type distribution varies. Our results complement those that appeared in the Bayesian-SG literature. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Jian Yang & Xiangtong Qi, 2013. "An order-centric treatment of the Bayesian supermodular game," Annals of Operations Research, Springer, vol. 208(1), pages 371-381, September.
    • Handle: RePEc:spr:annopr:v:208:y:2013:i:1:p:371-381:10.1007/s10479-012-1065-x
    DOI: 10.1007/s10479-012-1065-x
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    References listed on IDEAS

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    1. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
    2. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    3. David McAdams, 2003. "Isotone Equilibrium in Games of Incomplete Information," Econometrica, Econometric Society, vol. 71(4), pages 1191-1214, July.
    4. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    5. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    6. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    7. 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.
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