Displaying similar documents to “The turnpike property for dynamic discrete time zero-sum games.”

On generalized games in H -spaces

Paolo Cubiotti, Giorgio Nordo (1999)

Commentationes Mathematicae Universitatis Carolinae

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We show that a recent existence result for the Nash equilibria of generalized games with strategy sets in H -spaces is false. We prove that it becomes true if we assume, in addition, that the feasible set of the game (the set of all feasible multistrategies) is closed.

Involutions and semiinvolutions

Hiroyuki Ishibashi (2006)

Czechoslovak Mathematical Journal

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We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.

Solution set in a special case of generalized Nash equilibrium games

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.