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On the existence of Berge's strong equilibrium

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In this paper, we establish the existence of Berge's strong equilibrium for games with n persons in infinite dimensional strategy spaces in the case where the payoff function of each player is quasi-concave. Moreover, we study the continuity of Berge's strong equilibrium correspondence and prove that most of Berge's strong games are essential.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2011/11039.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 11039.

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Length: 16 pages
Date of creation: Jul 2011
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Handle: RePEc:mse:cesdoc:11039

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Keywords: Nash equilibrium; strong Berge equilibrium; fixed point; essential games.;

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  1. Larbani, Moussa & Nessah, Rabia, 2008. "A note on the existence of Berge and Berge-Nash equilibria," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 258-271, March.
  2. Yu, Jian, 1999. "Essential equilibria of n-person noncooperative games," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 361-372, April.
  3. Yong-Hui Zhou & Jian Yu & Shu-Wen Xiang, 2007. "Essential stability in games with infinitely many pure strategies," International Journal of Game Theory, Springer, vol. 35(4), pages 493-503, April.
  4. repec:hal:ciredw:halshs-00271452 is not listed on IDEAS
  5. repec:hal:cesptp:halshs-00250167 is not listed on IDEAS
  6. Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 313-316, December.
  7. Rabia Nessah & Moussa Larbani & Tarik Tazdait, 2009. "On Berge Equilibria," Working Papers 2010-ECO-16, IESEG School of Management.
  8. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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