Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds
Optimization and Control
2014-04-01 v3
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.
Cite
@article{arxiv.1307.7200,
title = {Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds},
author = {G. C. Bento and J. X. Cruz Neto and P. A. Soares and A. Soubeyran},
journal= {arXiv preprint arXiv:1307.7200},
year = {2014}
}
Comments
Added references. Corrected typos. Revised argument in section 4, results unchanged