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A Coevolutionary MiniMax Algorithm for the Detection of Nash Equilibrium

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7269)

Abstract

This paper introduces CoMiniMax, a coevolutionary Minimax algorithm, based on Differential Evolution, for the detection of Nash Equilibrium in games. We discuss the robust theoretical principles of the proposed algorithm. The algorithm is illustrated on examples in economics, transportation and deregulated electricity markets. Numerical experience demonstrates that the algorithm is a useful tool for the study of Nash Equilibrium problems.

Keywords

  • Coevolution
  • Nash Equilibrium
  • Minimax
  • Equilibrium Problems with Equilibrium Constraints (EPECs)

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Koh, A. (2012). A Coevolutionary MiniMax Algorithm for the Detection of Nash Equilibrium. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Swarm and Evolutionary Computation. EC SIDE 2012 2012. Lecture Notes in Computer Science, vol 7269. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29353-5_11

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  • DOI: https://doi.org/10.1007/978-3-642-29353-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29352-8

  • Online ISBN: 978-3-642-29353-5

  • eBook Packages: Computer ScienceComputer Science (R0)