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.
Classification : 54H99, 90D06, 90D10, 91A40, 91A44
Keywords: $H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points 
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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/