Proximal algorithms with Bregman distances for bilevel equilibrium problems with application to the problem of "how routines form and change" in Economics and Management Sciences

Abstract: In this paper we present the bilevel equilibrium problem under conditions of pseudomonotonicity. Using Bregman distances on Hadamard manifolds we propose a framework for to analyse the convergence of a proximal point algorithm to solve this bilevel equilibrium problem. As an application, we consider the problem of "how routines form and change" which is crucial for the dynamics of organizations in Economics and Management Sciences.