Abstract
The Differential Evolution (DE) is a simple and powerful optimization method, which is mainly applied to numerical optimization. Many modifications are inclined to use adaptive or dynamic parameters values. One of the most important parameters in the algorithm is the population size. Many existing methods focus only on the decreasing of population size over the time. In this article we propose a new approach based on the entropy of the population. In successive iterations, entropy measure is based on the phenotype of every individual in the population. This new approach is adapted to the problem of finding the approximate Nash equilibrium in n–person games in the strategic form. Finding the Nash equilibrium may be classified as continuous problem, where two probability distributions over the set of pure strategies of both players should be found.
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Juszczuk, P., Boryczka, U. (2013). The Differential Evolution with the Entropy Based Population Size Adjustment for the Nash Equilibria Problem. In: Bǎdicǎ, C., Nguyen, N.T., Brezovan, M. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2013. Lecture Notes in Computer Science(), vol 8083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40495-5_69
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DOI: https://doi.org/10.1007/978-3-642-40495-5_69
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