Sur l'équilibre fort selon Berge

Moussa Larbani; Rabia Nessah

RAIRO - Operations Research (2010)

  • Volume: 35, Issue: 4, page 439-451
  • ISSN: 0399-0559

Abstract

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

How to cite

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Larbani, Moussa, and Nessah, Rabia. "Sur l'équilibre fort selon Berge." RAIRO - Operations Research 35.4 (2010): 439-451. <http://eudml.org/doc/197821>.

@article{Larbani2010,
abstract = { In this paper we study the main properties of the strong Berge equilibrium, then we prove a theorem of its existence based on the Ky Fan inequality and finally, we provide an algorithm for its determination. },
author = {Larbani, Moussa, Nessah, Rabia},
journal = {RAIRO - Operations Research},
keywords = {Jeux; équilibre; inégalité de Ky Fan.; non-cooperative game; Nash equilibrium; strong equilibrium},
language = {eng},
month = {3},
number = {4},
pages = {439-451},
publisher = {EDP Sciences},
title = {Sur l'équilibre fort selon Berge},
url = {http://eudml.org/doc/197821},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Larbani, Moussa
AU - Nessah, Rabia
TI - Sur l'équilibre fort selon Berge
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 4
SP - 439
EP - 451
AB - In this paper we study the main properties of the strong Berge equilibrium, then we prove a theorem of its existence based on the Ky Fan inequality and finally, we provide an algorithm for its determination.
LA - eng
KW - Jeux; équilibre; inégalité de Ky Fan.; non-cooperative game; Nash equilibrium; strong equilibrium
UR - http://eudml.org/doc/197821
ER -

References

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  1. R. Aumann, Acceptable Points in General Cooperative n- Person Games, in Contributions to the Theory of Games 4. Princeton University Press (1959).  
  2. C. Berge, Théorie général des jeux à n- personnes. Gauthier Villars, Paris (1957).  
  3. K. Fan, Minimax Inequality and Application, in Inequality, Vol. 3, edited by O. Shisha. Academic Press, New York (1972).  
  4. J.C. Harsanyi, Oddness of the Number of Equilibrium Points: A new proof. Int. J. Game Theory.2 (1973) 235-250.  
  5. H. Moulin, Théorie des jeux pour l'économie et la politique. Herman, Paris (1981).  
  6. R.B. Myerson, Refinements of the Nash Equilibrium Concept. Int. J. Game Theory7 (1978) 73-80.  
  7. J.F. Nash, Non-Cooperative Games. Ann. Maths54 (1951) 286-295.  
  8. G. Owen, Game Theory. Academic Press, London (1995).  
  9. R. Selten, Reexamination of the Perfectness Concept for Equilibrium Point in Extensive Games. Int. J. Game Theory4 (1975) 25-55.  
  10. E. Van Damme, Stability and Perfection of Nash Equilibria. Springer-Verlag Berlin Heidelberg (1987).  
  11. Wu Wen-Tsün and Jiang Jia-He, Essential Equilibrium Point ofn-Person Non-cooperative Games. Sci. Sinica11 (1962) 1307-1322.  

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