Geodesic
On generalized games in $H$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 175-180

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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.
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.
Classification : 54H99, 90D06, 90D10, 91A40, 91A44
Keywords: $H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points 
Cubiotti, Paolo; Nordo, Giorgio. On generalized games in $H$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 175-180. http://geodesic.mathdoc.fr/item/CMUC_1999_40_1_a12/
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     title = {On generalized games in $H$-spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {175--180},
     year = {1999},
     volume = {40},
     number = {1},
     mrnumber = {1715210},
     zbl = {1059.91502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_1_a12/}
}
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