Approximate variational inequalities and equilibria

Giancarlo Bigi (), Lorenzo Lampariello (), Simone Sagratella () and Valerio Giuseppe Sasso ()
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Giancarlo Bigi: University of Pisa
Lorenzo Lampariello: Roma Tre University
Simone Sagratella: Sapienza University of Rome
Valerio Giuseppe Sasso: Sapienza University of Rome

Computational Management Science, 2023, vol. 20, issue 1, No 43, 16 pages

Abstract: 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.

Keywords: Nash games; Variational inequalities; Natural map; Inexact solutions; 90C33; 91A10; 49J40; 90C25 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10287-023-00476-w

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