Approximate variational inequalities and equilibria
Giancarlo Bigi, Lorenzo Lampariello, Simone Sagratella, Valerio Giuseppe Sasso · Computational Management Science · 2023
Abstract We study relations between the solution sets of Variational Inequalities, Minty Variational Inequalities, Natural Map problems and Nash Equilibrium Problems. Moreover, motivated by the inherent relevance of inexactness both in modeling non-cooperative games and in algorithms for variational inequalities, we consider inexact versions of such problems and we establish relations to quantify how inexactness propagates from one problem to the other.