Permanence criteria of replicator dynamics on a 2-sphere with boundary Through vector optimization technique

• Autores: A. Gupta, D. K. Bhattacharya
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 19, Nº. 1-2, 2007, págs. 23-36
• Idioma: inglés
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• Resumen

  • 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.