On discrete dynamical systems associated to games

Ahmed Elsayed () and Ahmed Sadek Hegazi ()
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Ahmed Sadek Hegazi: Mathematics Department, Faculty of Science, Mansoura 35516, Egypt

Advances in Complex Systems (ACS), 1999, vol. 02, issue 04, 423-430

Abstract: Dynamical systems corresponding to continuous strategy games are introduced. The steady of the systems corresponding to continuous prisoner's dilemma, hawk-dove and rock-scissors-paper games are found and their stability are discussed. A discrete imitation equation is derived. Smale's payoff memory game formulation is generalized.

Keywords: Dynamic games; Fuzzy; Smale's game (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0219525999000217

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