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Sur l'équilibre fort selon Berge

Published online by Cambridge University Press:  15 August 2002

Moussa Larbani  and
Rabia Nessah
Moussa Larbani
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Mouloude–Mammeri de Tizi Ouzou, 15000 Tizi–Ouzou, Algérie ; [email protected]., [email protected].
Rabia Nessah
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Mouloude–Mammeri de Tizi Ouzou, 15000 Tizi–Ouzou, Algérie ; [email protected]., [email protected].
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Abstract

In this paper we study the main properties of the strongBerge equilibrium, then we prove a theorem of its existence based on the KyFan inequality and finally, we provide an algorithm for its determination.

Keywords

Jeuxéquilibreinégalité de Ky Fan.
Type
Research Article
Information
RAIRO - Operations Research , Volume 35 , Issue 4 , October 2001 , pp. 439 - 451
Copyright
© EDP Sciences, 2001

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References

R. Aumann, Acceptable Points in General Cooperative n- Person Games, in Contributions to the Theory of Games 4. Princeton University Press (1959).
C. Berge, Théorie général des jeux à n- personnes. Gauthier Villars, Paris (1957).
K. Fan, Minimax Inequality and Application, in Inequality, Vol. 3, edited by O. Shisha. Academic Press, New York (1972).
Harsanyi, J.C., Oddness of the Number of Equilibrium Points: A new proof. Int. J. Game Theory. 2 (1973) 235-250. CrossRef
H. Moulin, Théorie des jeux pour l'économie et la politique. Herman, Paris (1981).
Myerson, R.B., Refinements of the Nash Equilibrium Concept. Int. J. Game Theory 7 (1978) 73-80. CrossRef
Nash, J.F., Non-Cooperative Games. Ann. Maths 54 (1951) 286-295. CrossRef
G. Owen, Game Theory. Academic Press, London (1995).
Selten, R., Reexamination of the Perfectness Concept for Equilibrium Point in Extensive Games. Int. J. Game Theory 4 (1975) 25-55. CrossRef
E. Van Damme, Stability and Perfection of Nash Equilibria. Springer-Verlag Berlin Heidelberg (1987).
Wu Wen-Tsün and Jiang Jia-He, Essential Equilibrium Point, ofn-Person Non-cooperative Games. Sci. Sinica 11 (1962) 1307-1322.