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.| File | Dimensione | Formato | |
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Bigi_Approximate_2023.pdf
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Note: https://link.springer.com/content/pdf/10.1007/s10287-023-00476-w.pdf
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