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NUMERICAL SOLUTION FOR THE FRACTIONAL REPLICATOR EQUATION

E. Ahmed (), A. M. A. El-Sayed (), A. E. M. El-Mesiry () and H. A. A. El-Saka ()
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E. Ahmed: Mathematics Department, Faculty of Science, Mansoura University, Egypt
A. M. A. El-Sayed: Faculty of Science, Alexandria University, Alexandria, Egypt
A. E. M. El-Mesiry: Department of Mathematics, Damietta Faculty of Science, Mansoura University, New Damietta, Egypt
H. A. A. El-Saka: Department of Mathematics, Damietta Faculty of Science, Mansoura University, New Damietta, Egypt

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 07, 1017-1025

Abstract: In this paper, we study the replicator equation for the hawk–dove (HD) and Prisoner's Dilemma (PD) games and generalized it to the fractional differential equation.

Keywords: Replicator equation; hawk–dove (HD) game; Prisoner's Dilemma (PD) game; fractional differential equation; Caputo derivative; predictor–corrector method (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183105007698

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