publication . Article . 2007

Nested Potential Games

Hiroshi Uno;
Open Access
  • Published: 01 Jan 2007 Journal: Economics Bulletin, volume 3, issue 19, pages 1-8
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 potential is a Nash equilibrium.
acm: TheoryofComputation_GENERALComputingMilieux_PERSONALCOMPUTINGTheoryofComputation_MISCELLANEOUS
arxiv: Computer Science::Computer Science and Game Theory
free text keywords: potential games, jel:C7
Related Organizations

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

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). [OpenAIRE]

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

Rosenthal, R. (1973) “A class of games possessing pure-strategy Nash equilibria,” International Journal of Game Theory 2, 65-67.

Schipper, B. C. (2004) “Pseudo-potential games,” mimeo (available at

Ui, T. (2000) “Robust equilibria of potential games,” Econometrica 69, 1373- 1380.

Voorneveld, M. (2000) “Best-response potential games,” Economics Letters 66, 289-295. [OpenAIRE]

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . 2007

Nested Potential Games

Hiroshi Uno;