Abstract
A method to detect good approximations of Nash equilibria in Action Graph Games (games represented as graphs) based on evolutionary computation is presented in this paper. This technique can allow to represent, reason and solve symmetric games. A fitness solution based on non-domination for the search in the configuration set of an Action Graph Game is proposed.
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Jiang, A.X., Leyton-Brown, K., Bhat, N.: Action-Graph Games. Games and Economic Behavior 71(1), 141–173 (2011)
Gaskó, N., Dumitrescu, D., Lung, R.I.: Evolutionary detection of berge and nash equilibria. In: Pelta, D.A., Krasnogor, N., Dumitrescu, D., Chira, C., Lung, R. (eds.) NICSO 2011. SCI, vol. 387, pp. 149–158. Springer, Heidelberg (2011)
Lung, R.I., Dumitrescu, D.: Computing nash equilibria by means of evolutionary computation. Int. J. of Computers, Communications & Control III(suppl. issue), 364–368 (2008)
McKelvey, R.D., McLennan, A.: Computation of equilibria in finite games. In: Handbook of Computational Economics, vol. 1, pp. 87–142 (1996)
Nash, J.F.: Non-cooperative games. Annals of Mathematics 54, 286–295 (1951)
Nagy, R., Suciu, M.A., Dumitrescu, D.: Lorenz equilibrium: equitability in non-cooperative games. In: Proceedings of the Fourteenth International Conference on Genetic and Evolutionary Computation Conference. ACM (2012)
Osborne, M.J., Rubinstein, A.: A Course in Game Theory. MIT Press, Cambridge (1994)
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Mihoc, T.D. (2014). A Generative Relation for Nash Equilibria on Symmetric Action Graph Games. In: Tantar, AA., et al. EVOLVE - A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V. Advances in Intelligent Systems and Computing, vol 288. Springer, Cham. https://doi.org/10.1007/978-3-319-07494-8_5
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DOI: https://doi.org/10.1007/978-3-319-07494-8_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07493-1
Online ISBN: 978-3-319-07494-8
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