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- W202141044 abstract "A class of nondegenerate n × n bimatrix games is presented that have asymptotically more than 2.414/ √ n Nash equilibria. These are more equilibria than the 2 − 1 equilibria of the game where both players have the identity matrix as payoff matrix. This refutes the Quint–Shubik conjecture that the latter number is an upper bound on the number of equilibria of nondegenerate n × n games. The first counterexample is a 6× 6 game with 75 equilibria. The approach uses concepts from polytope theory, which imply a known upper bound of 2.6/ √ n." @default.
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- W202141044 date "1997-01-01" @default.
- W202141044 modified "2023-09-23" @default.
- W202141044 title "New lower bounds for the number of equilibria in bimatrix games" @default.
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- W202141044 doi "https://doi.org/10.3929/ethz-a-006652005" @default.
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