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Saddle functions and robust sets of equilibria

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  • NORA, Vladyslav

    ()
    (Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium)

  • UNO, Hiroshi

    ()
    (Graduate School of Economics, Osaka Prefecture University, Japan)

Abstract

This paper introduces games with a saddle function. A saddle function is a real valued function on the set of action profiles such that, for one player, minimizing the function implies choosing her best-response, and, for the other players, maximizing it implies choosing their best-responses. We provide a new sufficient condition for robustness to incomplete information of sets of equilibria in a sense of Kajii and Morris (1997, Econometrica), Morris and Ui (2005, J. of Econ. Theory) for games with a saddle function. Our result unifies and generalizes sufficient conditions for zero-sum and best-response potential games.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2012050.

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Date of creation: 10 Dec 2012
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Handle: RePEc:cor:louvco:2012050

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Keywords: incomplete information; robust equilibrium; potential games; zero-sum games; team-maximin equilibrium;

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  1. Atsushi Kajii & Stephen Morris, . ""The Robustness of Equilibria to Incomplete Information*''," CARESS Working Papres 95-18, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
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  8. BRECHET, Thierry & meniere, Yann & PICARD, Pierre M., 2012. "The clean development mechanism in a global carbon market," CORE Discussion Papers 2012040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  17. Ori Haimanko & Atsushi Kajii, 2012. "Approximate Robustness Of Equilibrium To Incomplete Information," Working Papers 1209, Ben-Gurion University of the Negev, Department of Economics.
  18. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
  19. Dziubiński, Marcin & Goyal, Sanjeev, 2013. "Network design and defence," Games and Economic Behavior, Elsevier, vol. 79(C), pages 30-43.
  20. Yusuke Hino, 2011. "An improved algorithm for detecting potential games," International Journal of Game Theory, Springer, vol. 40(1), pages 199-205, February.
  21. von Stengel, Bernhard & Koller, Daphne, 1997. "Team-Maxmin Equilibria," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 309-321, October.
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