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Mathematics Colloquium
Universality of Nash Equilibria
Ruchira S. Datta
MSRI and UC Davis
Thursday, 22 January 2004
4:00 PM
Every real algebraic variety is isomorphic to the set of totally mixed Nash equilibria of some three-person game, and also to the set of totally mixed Nash equilibria of an N-person game in which each player has two pure strategies. From the Nash-Tognoli Theorem it follows that every compact differentiable manifold can be encoded as the set of totally mixed Nash equilibria of some game.
Event submitted 5 Dec 2005.
