Nash equilibrium existence for some discontinuous games

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Working paper
Author/s: 
Philippe Bich
Issue number: 
2007.69
Publisher: 
Maison des Sciences Économiques
Year: 
2007
Answering to an open question of Herings et al. (see [3]), one ex- tends their fixed point theorem to mappings defined on convex com- pact subset of Rn, and not only polytopes. Such extension is impor- tant in non-cooperative game theory, where typical strategy sets are convex and compact. An application in game theory is given.
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