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.

Contact details are reproduced from the original publication and may be historical.

Matthias Asche

Humboldt-Universität, Math.-Naturwiss. Fakultät II, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany

M. Asche. “On the Structure of Nash Equilibrium Sets in Partially Convex Games.” Journal of Convex Analysis 4 (1997), No. 2, 363–372. https://doi.org/10.68381/jca04021