Nash equilibria in nonsymmetric singleton congestion games with exact partition
We define a new class of games, which we qualify as congestion games with exact partition. These games constitute a subfamily of singleton congestion games for which the players are restricted to choose only one strategy, but they each possess their own utility function. The aim of this paper is to develop a method leading to an easier identification of all Nash equilibria in this kind of congestion games. We also give a new proof establishing the existence of a Nash equilibrium in this type of games without invoking the potential function or the finite best-reply property.
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- Voorneveld, M. & Borm, P.E.M. & van Megen, F.J.C. & Tijs, S.H. & Facchini, G., 1999.
"Congestion games and potentials reconsidered,"
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a2b8c559-8a5b-4a4a-8205-9, Tilburg University, School of Economics and Management.
- Le Breton, M. & Weber, S., 1995. "Strong Equilibrium in a Model with Partial Rivalry," G.R.E.Q.A.M. 95a07, Universite Aix-Marseille III.
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- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
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