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Saddle functions and robust sets of equilibria

  • NORA, Vladyslav

    ()

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

  • UNO, Hiroshi

    ()

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

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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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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  1. Slade, M.E., 1989. "What Does An Oligopoly Maximize?," G.R.E.Q.A.M. 89a14, Universite Aix-Marseille III.
  2. repec:cup:cbooks:9780521887427 is not listed on IDEAS
  3. Vicki Bier & Santiago Oliveros & Larry Samuelson, 2006. "Choosing What to Protect: Strategic Defensive Allocation against an Unknown Attacker," Levine's Bibliography 321307000000000158, UCLA Department of Economics.
  4. Tercieux, Olivier, 2006. "p-Best response set and the robustness of equilibria to incomplete information," Games and Economic Behavior, Elsevier, vol. 56(2), pages 371-384, August.
  5. Carlsson, H. & van Damme, E.E.C., 1993. "Global games and equilibrium selection," Other publications TiSEM 49a54f00-dcec-4fc1-9488-4, Tilburg University, School of Economics and Management.
  6. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
  7. Hiroshi Uno, 2007. "Nested Potential Games," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-8.
  8. WAN, Shui-Ki & WANG, Shin-Huei & WOO, Chi-Keung, 2012. "Total tourist arrival forecast: aggregation vs. disaggregation," CORE Discussion Papers 2012039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Levine's Working Paper Archive 506439000000000325, David K. Levine.
  10. von Stengel, Bernhard & Koller, Daphne, 1997. "Team-Maxmin Equilibria," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 309-321, October.
  11. Morris, Stephen & Ui, Takashi, 2004. "Best response equivalence," Games and Economic Behavior, Elsevier, vol. 49(2), pages 260-287, November.
  12. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
  13. 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.
  14. Ori Haimanko & Atsushi Kajii, 2012. "Approximate Robustness Of Equilibrium To Incomplete Information," Working Papers 1209, Ben-Gurion University of the Negev, Department of Economics.
  15. Babaioff, Moshe & Kleinberg, Robert & Papadimitriou, Christos H., 2009. "Congestion games with malicious players," Games and Economic Behavior, Elsevier, vol. 67(1), pages 22-35, September.
  16. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-91, June.
  17. 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).
  18. Sandholm, William H., 2010. "Decompositions and potentials for normal form games," Games and Economic Behavior, Elsevier, vol. 70(2), pages 446-456, November.
  19. Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203, March.
  20. Dziubiński, Marcin & Goyal, Sanjeev, 2013. "Network design and defence," Games and Economic Behavior, Elsevier, vol. 79(C), pages 30-43.
  21. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  22. repec:ebl:ecbull:v:3:y:2007:i:19:p:1-8 is not listed on IDEAS
  23. repec:cup:cbooks:9780521715348 is not listed on IDEAS
  24. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
  25. Yusuke Hino, 2011. "An improved algorithm for detecting potential games," International Journal of Game Theory, Springer, vol. 40(1), pages 199-205, February.
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