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Keywords:
$H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points
$H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points
Summary:
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.
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