Direct Evolutionary Search for Nash Equilibria Detection
Keywords:
Mixed form Nash equilibria, Evolutionary algorithms, generative relationAbstract
A Direct method of computing mixed form Nash equilibria of a normal form game by using a simple evolutionary algorithm is proposed. The Direct Evolutionary Search algorithm (DES) uses a generative relation for Nash equilibria with binary tournament selection and uniform mutation. Numerical experiments are used to illustrate the efficiency of the method.
References
Rodica Ioana Lung and D. Dumitrescu (2008); Computing nash equilibria by means of evolutionary omputation, Intrenational Journal of Computers Communications & Control, Suppl. ssue, 3(5):364-368.
Richard D. McKelvey and Andrew McLennan (1996); Computation of equilibria in finite ames. In H. M. Amman, D. A. Kendrick, and J. Rust, editors, Handbook of Computational conomics, volume 1 of Handbook of Computational Economics, chapter 2, pp. 87-142, lsevier, 1996.
Richard D. McKelvey, Andrew M. McLennan, and Theodore L. Turocy (2010); Gambit: oftware tools for game theory, Technical report.
John F. Nash (1951) Non-cooperative games, Annals of Mathematics, 54:286-295. http://dx.doi.org/10.2307/1969529
Eugene Nudelman, Jennifer Wortman, Yoav Shoham, and Kevin Leyton-Brown(2004); Run he gamut: A comprehensive approach to evaluating game-theoretic algorithms, Proceedings f the Third International Joint Conference on Autonomous Agents and Multiagent Systems, ashington, DC, USA, 2004. IEEE Computer Society, AAMAS04, 2: 880-887.
Ryan Porter, Eugene Nudelman, and Yoav Shoham (2008); Simple search methods for finding nash equilibrium, Games and Economic Behavior, 63(2): 642-662. http://dx.doi.org/10.1016/j.geb.2006.03.015
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