KINETIC DESCRIPTION OF STRATEGIC BINARY GAMES
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Abstract
In this article, we study the behavior of a population composed by rational individuals , which interact through a binary game. After deducing the kinetic description of the system, we study existence and uniqueness of the resulting equation. We then focus our attention on a linear game and provide its asymptotics in the high-frequency and vanishing payoff case. Several numerical simulations show the quantitative behavior of the model.Keywords
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