Strong Nash Equilibria and the Potential Maimizer

F.J.C. van Megen, G. Facchini, P.E.M. Borm, S.H. Tijs

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Abstract

A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide.The structure of the class is investigated and it turns out that this class constitutes a cone.Remarks on strictly strong Nash equilibria and relaxations are provided.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages13
Volume1996-13
Publication statusPublished - 1996

Publication series

NameCentER Discussion Paper
Volume1996-13

Fingerprint

Strong Nash equilibrium
Congestion
Nash equilibrium
Potential function
Non-cooperative game

Keywords

  • noncooperative games
  • Nash equilibrium

Cite this

van Megen, F. J. C., Facchini, G., Borm, P. E. M., & Tijs, S. H. (1996). Strong Nash Equilibria and the Potential Maimizer. (CentER Discussion Paper; Vol. 1996-13). Tilburg: Operations research.
van Megen, F.J.C. ; Facchini, G. ; Borm, P.E.M. ; Tijs, S.H. / Strong Nash Equilibria and the Potential Maimizer. Tilburg : Operations research, 1996. (CentER Discussion Paper).
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van Megen, FJC, Facchini, G, Borm, PEM & Tijs, SH 1996 'Strong Nash Equilibria and the Potential Maimizer' CentER Discussion Paper, vol. 1996-13, Operations research, Tilburg.

Strong Nash Equilibria and the Potential Maimizer. / van Megen, F.J.C.; Facchini, G.; Borm, P.E.M.; Tijs, S.H.

Tilburg : Operations research, 1996. (CentER Discussion Paper; Vol. 1996-13).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - Strong Nash Equilibria and the Potential Maimizer

AU - van Megen, F.J.C.

AU - Facchini, G.

AU - Borm, P.E.M.

AU - Tijs, S.H.

N1 - Pagination: 13

PY - 1996

Y1 - 1996

N2 - A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide.The structure of the class is investigated and it turns out that this class constitutes a cone.Remarks on strictly strong Nash equilibria and relaxations are provided.

AB - A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide.The structure of the class is investigated and it turns out that this class constitutes a cone.Remarks on strictly strong Nash equilibria and relaxations are provided.

KW - noncooperative games

KW - Nash equilibrium

M3 - Discussion paper

VL - 1996-13

T3 - CentER Discussion Paper

BT - Strong Nash Equilibria and the Potential Maimizer

PB - Operations research

CY - Tilburg

ER -

van Megen FJC, Facchini G, Borm PEM, Tijs SH. Strong Nash Equilibria and the Potential Maimizer. Tilburg: Operations research. 1996. (CentER Discussion Paper).