Remarks on Nash equilibria for games with additively coupled payoffs (*)

Erik Balder ()

Economic Theory, 1996, vol. 9, issue 1, 167 pages

Abstract: If the payoffs of a game are affine, then they are additively coupled. In this situation both the Weierstrass theorem and the Bauer maximum principle can be used to produce existence results for a Nash equilibrium, since each player is faced with an individual, independent optimization problem. We consider two instances in the literature where these simple observations immediately lead to substantial generalizations.

Date: 1996
Note: Received: June 12, 1994; revised version June 16, 1995
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