Fixed points as Nash equilibria.
Torres-Martínez, Juan Pablo (2006)
Fixed Point Theory and Applications [electronic only]
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Torres-Martínez, Juan Pablo (2006)
Fixed Point Theory and Applications [electronic only]
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Srinivasan, P.S., Veeramani, P. (2004)
Fixed Point Theory and Applications [electronic only]
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Josef Cach (2001)
Kybernetika
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A special class of generalized Nash equilibrium problems is studied. Both variational and quasi-variational inequalities are used to derive some results concerning the structure of the sets of equilibria. These results are applied to the Cournot oligopoly problem.
Václav Polák (1969)
Archivum Mathematicum
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Svatoslav Gaidov (1993)
Archivum Mathematicum
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In this paper -person nonzero-sum games are considered. The dynamics is described by Ito stochastic differential equations. The cost-functions are conditional expectations of functionals of Bolza type with respect to the initial situation. The notion of -equilibrium is introduced in many-player stochastic differential games. Some properties of -equilibria are analyzed. Sufficient conditions are established guaranteeing the -equilibrium for the strategies of the players. In a particular...