SATO–CRUTCHFIELD FORMULATION FOR SOME EVOLUTIONARY GAMES

E. Ahmed, A. S. Hegazi () and A. S. Elgazzar ()
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E. Ahmed: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt;
A. S. Hegazi: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt
A. S. Elgazzar: Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 07, 963-971

Abstract: The Sato–Crutchfield equations are analytically and numerically studied. The Sato–Crutchfield formulation corresponds to losing memory. Then the Sato–Crutchfield formulation is applied for some different types of games including hawk–dove, prisoner's dilemma and the battle of the sexes games. The Sato–Crutchfield formulation is found not to affect the evolutionarily stable strategy of the ordinary games. But choosing a strategy becomes purely random, independent of the previous experiences, initial conditions, and the rules of the game itself. The Sato–Crutchfield formulation for the prisoner's dilemma game can be considered as a theoretical explanation for the existence of cooperation in a population of defectors.

Keywords: Sato–Crutchfield formulation; evolutionarily stable strategy; evolutionary games; persistence (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183103005091

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