The stability of imitation dynamics with discrete distributed delays

Physica A: Statistical Mechanics and its Applications(2019)

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Abstract
This paper investigates the stability in a new model of imitation dynamics with discrete distributed delays. Some sufficient conditions of the asymptotical stability for the interior Nash equilibrium of the imitation dynamics with multiple-delay are obtained. Finally, numerical experiments are displayed which support the theoretical results through the Snowdrift game.
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Key words
Evolutionary games,Stability,Imitation dynamics,Discrete delays
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