Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds

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 in finite time. Finally we offer an application to personal equilibrum problems as behavioral traps problems, using a recent "variational rationality" approach of human behavior.

Added references. Corrected typos. Revised argument in section 4, results unchanged

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