Abstract
An evolutionary approach for detecting equilibria in non-cooperative game is proposed. Appropriate generative relations (between strategies) are introduced in order to characterize game equilibria. The concept of game is generalized by allowing players to have different types of rationality. Experimental results indicate the potential of the proposed concepts and technique.
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Bade, S., Haeringer, G., Renou, L.: More strategies, more Nash equilibria, Working Paper 2004-15, School of Economics University of Adelaide University (2004)
Deb, K., Agrawal, S., Pratab, A., Meyarivan, T.: A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 849–858. Springer, Heidelberg (2000)
McKelvey, R.D., McLennan, A.: Computation of equilibria in finite games. In: Amman, H.M., Kendrick, D.A., Rust, J. (eds.) Handbook of Computational Economics. Elsevier, Amsterdam (1996)
Lung, R.I., Muresan, A.S., Filip, D.A.: Solving multi-objective optimization problems by means of natural computing with application in finance. In: Aplimat 2006, Bratislava, pp. 445–452 (February 2006)
Nash, J.F.: Non-cooperative games. Annals of Mathematics 54, 286–295 (1951)
Lung, R.I., Dumitrescu, D.: Computing Nash Equilibria by Means of Evolutionary Computation. Int. J. of Computers, Communications & Control, 364–368 (2008)
Osborne, M.J., Rubinstein, A.: A Course in Game Theory. MIT Press, Cambridge (1994)
Maskin, E.: The theory of implementation in Nash equilibrium:A survey. In: Hurwicz, L., Schmeidler, D., Sonnenschein, H. (eds.) Social Goals and Social Organization, pp. 173–204. Cambridge University Press, Cambridge (1985)
Deb, K., Beyer, H.: Self-adaptive genetic algorithms with simulated binary crossover. Complex Systems 9, 431–454 (1995)
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Dumitrescu, D., Lung, R.I., Mihoc, T.D. (2009). Evolutionary Equilibria Detection in Non-cooperative Games. In: Giacobini, M., et al. Applications of Evolutionary Computing. EvoWorkshops 2009. Lecture Notes in Computer Science, vol 5484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01129-0_29
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DOI: https://doi.org/10.1007/978-3-642-01129-0_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01128-3
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