Abstract
Equilibria detection in large games represents an important challenge in computational game theory. A solution based on generative relations defined on the strategy set and the standard Extremal Optimization algorithm is proposed. The Cournot oligopoly model involving up to 1000 players is used to test the proposed methods. Results are compared with those obtained by a Crowding Differential Evolution algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Boettcher, S., Percus, A.G.: Optimization with Extremal Dynamics. Physical Review Letters 86, 5211–5214 (2001), doi:10.1103/PhysRevLett.86.5211
Boettcher, S., Percus, A.G.: Extremal optimization: an evolutionary local-search algorithm. CoRR cs.NE/0209030 (2002)
Daughety, A.F.: Cournot oligopoly: characterization and applications. Cambridge University Press, Cambridge (1988)
Ishibuchi, H., Tsukamoto, N., Nojima, Y.: Evolutionary many-objective optimization. In: 3rd International Workshop on Genetic and Evolving Systems, GEFS 2008, pp. 47–52 (2008), doi:10.1109/GEFS.2008.4484566
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)
Lung, R.I., Mihoc, T.D., Dumitrescu, D.: Nash equilibria detection for multi-player games. In: IEEE Congress on Evolutionary Computation, pp. 1–5 (2010)
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, vol. 1, ch. 2, pp. 87–142. Elsevier, Amsterdam (1996)
Nash, J.F.: Non-cooperative games. Annals of Mathematics 54, 286–295 (1951)
Thomsen, R.: Multimodal optimization using crowding-based differential evolution. In: Proceedings of the 2004 IEEE Congress on Evolutionary Computation, pp. 1382–1389. IEEE Press, Portland (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lung, R.I., Mihoc, T.D., Dumitrescu, D. (2011). Nash Extremal Optimization and Large Cournot Games. In: Pelta, D.A., Krasnogor, N., Dumitrescu, D., Chira, C., Lung, R. (eds) Nature Inspired Cooperative Strategies for Optimization (NICSO 2011). Studies in Computational Intelligence, vol 387. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24094-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-24094-2_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24093-5
Online ISBN: 978-3-642-24094-2
eBook Packages: EngineeringEngineering (R0)