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.

Approximate variational inequalities and equilibria / Bigi, G.; Lampariello, L.; Sagratella, S.; Sasso, V. G.. - In: COMPUTATIONAL MANAGEMENT SCIENCE. - ISSN 1619-697X. - 20:1(2023). [10.1007/s10287-023-00476-w]

Approximate variational inequalities and equilibria

Lampariello L.;Sagratella S.;Sasso V. G.
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.
2023
Nash games; Variational inequalities; Natural map; Inexact solutions
01 Pubblicazione su rivista::01a Articolo in rivista
Approximate variational inequalities and equilibria / Bigi, G.; Lampariello, L.; Sagratella, S.; Sasso, V. G.. - In: COMPUTATIONAL MANAGEMENT SCIENCE. - ISSN 1619-697X. - 20:1(2023). [10.1007/s10287-023-00476-w]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1724612
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