Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds
G. C. Bento, Neto, J. X. Cruz, P. A. Soares, Antoine Soubeyran · arXiv (Cornell University) · 2013
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.