Nonsymmetric singleton congestion games: case of two resources
In this note we study the existence of Nash equilibria in nonsymmetric finite congestion games, complementing the results obtained by Milchtaich on monotone-decreasing congestion games. More specifically, we examine the case of two resources and we propose a simple method describing all Nash equilibria in this kind of congestion games. Additionally, we give a new and short proof establishing the existence of a Nash equilibrium in this type of games without invoking the potential function or the finite improvement property.
|Date of creation:||Sep 2011|
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- Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
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- Mark Voorneveld & Peter Borm & Freek Van Megen & Stef Tijs & Giovanni Facchini, 1999.
"Congestion Games And Potentials Reconsidered,"
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World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 283-299.
- Voorneveld, M. & Borm, P.E.M. & van Megen, F.J.C. & Tijs, S.H. & Facchini, G., 1999. "Congestion games and potentials reconsidered," Other publications TiSEM a2b8c559-8a5b-4a4a-8205-9, Tilburg University, School of Economics and Management.
- Voorneveld, M. & Borm, P.E.M. & van Megen, F.J.C. & Tijs, S.H. & Facchini, G., 1999. "Congestion Games and Potentials Reconsidered," Discussion Paper 1999-98, Tilburg University, Center for Economic Research.
- repec:fth:tilbur:9998 is not listed on IDEAS
- 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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