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math.AP2020
Interacting particles systems with delay and random delay differential equations
Juan Pablo Pinasco, Mauro Rodriguez Cartabia, Nicolas Saintier
In this work we study a kinetic model of active particles with delayed dynamics, and its limit when the number of particles goes to infinity. This limit turns out to be related to…
math.AP2020
Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations
Juan Pablo Pinasco, Mauro Rodriguez-Cartabia, Nicolas Saintier
In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where afte…