Resumen de Permanence criteria of replicator dynamics on a 2-sphere with boundary Through vector optimization technique
The paper discusses a sufficient criteria for permanence of replicator dynamics on a 2- sphere with boundary via vector optimization technique. The paper obtains an equivalent formulation of the problem of getting a permanence criteria of replicator dynamics on a 2- sphere with boundary with the help of vector optimization technique. In fact, this amounts to obtaining a properly efficient solution of a vector minimization problem. This is equivalent to solving a suitable scalar minimization problem, which is nothing but a Kuhn-Tucker type of saddle point nonlinear minimization programming problem. So finally, the existence of solution of such a problem ensures the permanence of the replicator dynamics on a 2- sphere with boundary.
