Utilitarian Preferences and Potential Games
We study games with utilitarian preferences: the sum of individual utility functions is a generalized ordinal potential for the game. It turns out that generically, any finite game with a potential, ordinal potential, or generalized ordinal potential is better reply equivalent to a game with utilitarian preferences. It follows that generically, finite games with a generalized ordinal potential are better reply equivalent to potential games. For infinite games we show that a continuous game has a continuous ordinal potential, iff there is a better reply equivalent continuous game with utilitarian preferences. For such games we show that best reply improvement paths can be used to approximate equilibria arbitrarily closely.
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- Giovanni Facchini & Freek van Megen & Peter Borm & Stef Tijs, 1997.
"Congestion Models And Weighted Bayesian Potential Games,"
Theory and Decision,
Springer, vol. 42(2), pages 193-206, March.
- Facchini, G. & van Megen, F.J.C. & Borm, P.E.M. & Tijs, S.H., 1997. "Congestion models and weighted Bayesian potential games," Other publications TiSEM c80cf83c-bb5a-4cc2-a12c-8, Tilburg University, School of Economics and Management.
- Voorneveld, Mark & Norde, Henk, 1997. "A Characterization of Ordinal Potential Games," Games and Economic Behavior, Elsevier, vol. 19(2), pages 235-242, May.
- Voorneveld, M. & Norde, H.W., 1996. "A Characterization of Ordinal Potential Games," Research Memorandum 734, Tilburg University, School of Economics and Management.
- Voorneveld, M. & Norde, H.W., 1997. "A characterisation of ordinal potential games," Other publications TiSEM b7112a05-1878-4d36-beb3-f, Tilburg University, School of Economics and Management.
- Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
- Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
- Voorneveld, M., 1996. "Equilibria and Approximate Equilibria in Infinite Potential Games," Discussion Paper 1996-94, Tilburg University, Center for Economic Research.
- Salonen, Hannu & Vartiainen, Hannu, 2010. "On the existence of undominated elements of acyclic relations," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 217-221, November.
- Hannu Salonen & Hannu Vartiainen, 2005. "On the Existence of Undominated Elements of Acyclic Relations," Game Theory and Information 0503009, EconWPA.
- Nikolai Kukushkin, 2011. "Nash equilibrium in compact-continuous games with a potential," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 387-392, May.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. Full references (including those not matched with items on IDEAS)
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