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A Simple Artificial Chemistry Model for Nash Equilibria Detection in Large Cournot Games

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Hybrid Artificial Intelligent Systems (HAIS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7209))

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Abstract

A simple Artificial Chemistry model designed for computing Nash Equilibria for continuous games called Artificial Chemistry for Nash Equilibria (ACNE) is proposed. ACNE uses elementary reactions between strategy profiles of a noncooperative game with a generative relation for Nash Equilibria in order to solve noncooperative games. Experimental results indicating the potential of the new proposed method are performed on Cournot oligopolies for up to 1000 players and compared with those obtained by other methods.

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References

  1. Boettcher, S., Percus, A.G.: Optimization with Extremal Dynamics. Physical Review Letters 86, 5211–5214 (2001)

    Article  Google Scholar 

  2. Daughety, A.F.: Cournot oligopoly: characterization and applications. In: Daughety, A.F. (ed.) Cambridge University Press, Cambridge (1988)

    Google Scholar 

  3. Dittrich, P., Ziegler, J., Banzhaf, W.: Artificial chemistries-a review. Artificial Life 7(3), 225–275 (2001)

    Article  Google Scholar 

  4. Ishibuchi, H., Tsukamoto, N., Nojima, Y.: Evolutionary many-objective optimization. In: 3rd International Workshop on Genetic and Evolving Systems, GEFS 2008, pp. 47–52 (March 2008)

    Google Scholar 

  5. Lung, R.I., Mihoc, T.D., Dumitrescu, D.: Nash Extremal Optimization and Large Cournot Games. In: Pelta, D.A., Krasnogor, N., Dumitrescu, D., Chira, C., Lung, R. (eds.) NICSO 2011. SCI, vol. 387, pp. 195–203. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. 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)

    Google Scholar 

  7. 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 (1996)

    Google Scholar 

  8. Nash, J.F.: Non-cooperative games. Annals of Mathematics 54, 286–295 (1951)

    Article  MathSciNet  MATH  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Lung, R.I., Sturzu-Năstase, L. (2012). A Simple Artificial Chemistry Model for Nash Equilibria Detection in Large Cournot Games. In: Corchado, E., Snášel, V., Abraham, A., Woźniak, M., Graña, M., Cho, SB. (eds) Hybrid Artificial Intelligent Systems. HAIS 2012. Lecture Notes in Computer Science(), vol 7209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28931-6_34

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  • DOI: https://doi.org/10.1007/978-3-642-28931-6_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28930-9

  • Online ISBN: 978-3-642-28931-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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