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Journal of Convex Analysis, Vol. 4, No. 2, pp. 363-372 (1997)
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On the Structure of Nash Equilibrium Sets in Partially Convex Games

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Matthias Asche

Humboldt-Universität, Math.-Naturwiss. Fakultät II, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany, asche@mathematik.hu-berlin.de

**Abstract:** The paper describes the geometrical structure of Nash equilibrium sets in partially convex games without constraints. A condition characterizing a distinct class of Nash equilibrium sets is given. A complete description of such sets in two dimensions as well as some pictures illustrating the appearing difficulties are presented.

**Full text of the article:**

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