Nested Potential Games

Article OPEN
Hiroshi Uno;
  • Journal: Economics Bulletin,volume 3,issue 19,pages1-8
  • Subject: potential games
    • jel: jel:C7
    acm: TheoryofComputation_GENERAL | ComputingMilieux_PERSONALCOMPUTING | TheoryofComputation_MISCELLANEOUS
    arxiv: Computer Science::Computer Science and Game Theory

This paper proposes a new class of potential games, the nested potential games, which generalize the potential games defined in Monderer and Shapley (1996), as well as the pseudo-potential games defined in Dubey et al. (2006). We show that each maximizer of a nested pot... View more
  • References (14)
    14 references, page 1 of 2

    Blume, L. (1993) “The statistical mechanics of strategic interaction,” Games and Economic Behavior 5, 387-424.

    Dubey, P., O. Haimanko, and A. Zapechelnyuk (2006) “Strategic complements and substitutes, and potential games,” Games and Economic Behavior 54, 77-94.

    Hofbauer, J., and G. Sorger (1999) “Perfect foresight and equilibrium selection in symmetric potential games,” Journal of Economic Theory 85, 1-23.

    Hofbauer, J., and G. Sorger (2002) “A differential game approach to evolutionary equilibrium selection,” International Game Theory Review 4, 17-31.

    Monderer, D. (2007) “Multipotential games,” in Twentieth International Joint Conference on Artificial Intelligence (IJCAI-07), 1422-1427.

    Monderer, D., and L. Shapley (1996) “Potential games,” Games and Economic Behavior 14, 124-143.

    Morris, S., and T. Ui (2004) “Best response equivalence,” Games and Economic Behavior 49, 260-287.

    Morris, S., and T. Ui (2005) “Generalized potentials and robust sets of equilibria,” Journal of Economic Theory 124, 45-78.

    Oyama, D., S. Takahashi, and J. Hofbauer (2003) “Monotone methods for equilibrium selection under perfect foresight dynamics,” mimeo (available at˜oyama/papers/supmod.html).

    Oyama, D., and O. Tercieux (2004) “Iterated potential and robustness of equilibria,” mimeo (available at˜oyama/papers/itMP.html).

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