Machine learningGame-theoretic
Nash Equilibrium
Nash Equilibrium is a game-theoretic solution concept where no player can unilaterally deviate to improve their payoff. Formalized by John Nash in 1950, the Lemke-Howson algorithm computationally finds equilibria in bimatrix games by identifying completely labeled vertex pairs in the strategy polytopes.
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Sources
- Nash, J. F. (1950). Equilibrium points in N-person games. Proceedings of the National Academy of Sciences, 36(1), 48-49. DOI: 10.1073/pnas.36.1.48 ↗
- Lemke, C. E., & Howson Jr, J. T. (1964). Equilibrium points of bimatrix games. Journal of the Society for Industrial and Applied Mathematics, 12(2), 413-423. DOI: 10.1137/0112033 ↗