Weak approximate solutions to quasi-variational inequalities: Application to social Nash equilibria
Abstract:In this paper, we introduce and prove the existence of the auxiliary solutions of a weak approximate type to quasi-variational inequalities, (QVI), by using the assumptions of minimal character without recourse to the usual semicontinuity and monotonicity conditions. The concept of weak solutions is linked to a new version of weak approximate normal cones to a closed and convex subset which we support by some examples. Moreover, under a mild additional regularity condition, we establish the convergence of thos… Show more
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