Passivity Analysis of Replicator Dynamics and Its Variations

In this article, we focus on studying the passivity properties of different versions replicator dynamics (RD). The RD represents a deterministic monotone nonlinear dynamic, which allows incorporation distribution population types through fitness function. We use tools for control theory, in particular, to study stability when it is action with evolutionary games. theory us identify class games guaranteed. show that several variations first order satisfy standard loseless property. contrary, second-order does not property; however, satisfies similar dissipativity property known as negative imaginary