On The Existence Of Berge'S Strong Equilibrium
In this paper, we establish the existence of Berge's strong equilibrium for games with n persons in infinite dimensional space in the case where the payoff function of each player is quasi-concave. Moreover, we study the continuity of Berge's strong equilibria correspondence and essential games.
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Volume (Year): 13 (2011)
Issue (Month): 03 ()
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References listed on IDEAS
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- 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.
- Rabia Nessah & Moussa Larbani & Tarik Tazdait, 2009.
"On Berge Equilibria,"
2010-ECO-16, IESEG School of Management.
- Yu, Jian, 1999. "Essential equilibria of n-person noncooperative games," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 361-372, April.
- Monique Florenzano, 2008.
Documents de travail du Centre d'Economie de la Sorbonne
b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
- 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.
- 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.
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