How to Reach his Desires: Variational Rationality and the Equilibrium Problem on Hadamard Manifolds

نویسندگان

  • G. C. Bento
  • J. X. Cruz Neto
  • A. Soubeyran
چکیده

Abstract In this paper we present a sufficient condition for the existence of a solution for an equilibrium problem on an Hadamard manifold and under suitable assumptions on the sectional curvature, we propose a framework for the convergence analysis of a proximal point algorithm to solve this equilibrium problem. Finally, we offer an application to the necessity for an agent to escape to a succession of temporary traps to be able to reach, at the end, his desires, using a recent “variational rationality” approach of human behavior.

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تاریخ انتشار 2015