How discontinuous is Computing Nash Equilibria?

Details How discontinuous is Computing Nash Equilibria? How discontinuous is Computing Nash Equilibria?

2009-07-09

arxiv.org/abs/0907.1482v1

Computer Science

Computer Science and Game Theory

to be presented at CCA 2009

Scientific paper

We investigate the degree of discontinuity of several solution concepts from non-cooperative game theory. While the consideration of Nash equilibria forms the core of our work, also pure and correlated equilibria are dealt with. Formally, we restrict the treatment to two player games, but results and proofs extend to the n-player case. As a side result, the degree of discontinuity of solving systems of linear inequalities is settled.

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