How Incomputable is Finding Nash Equilibria?

Abstract: We investigate the Weihrauch-degree of several solution concepts from noncooperative game theory. While the consideration of Nash equilibria forms the core of our work, also pure and correlated equilibria, as well as various concepts of iterated strategy elimination, are dealt with. As a side result, the Weihrauch-degree of solving systems of linear inequalities is settled. Key Words: Game Theory, Computable Analysis, Nash Equilibrium, Discontinuity, Weihrauch-degree Category: F.2.0

• Type: Journal
• Year: 2010
• Where: JUCS
• Authors: Arno Pauly
• Keywords: Game Theory, JUCS 2010, Nash Equilibria, Noncooperative Game Theory