On the Existence of Nash Equilibria in Discontinuous and Qualitative Games

نویسندگان

  • PAULO BARELLI
  • Guilherme Carmona
  • Luciano de Castro
  • Pavlo Prokopovych
چکیده

We provide a unified approach to existence of Nash equilibria in (possibly) discontinuous and qualitative games. We combine the idea of a local continuous selection of each player’s strict upper contour set from the qualitative games literature with the “better reply security” idea (Reny [15]) of activating different players locally from the discontinuous games literature, together with a weak notion of convexity of preferences. The result generalizes a number of previous conditions in the literature.

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تاریخ انتشار 2008