Approximate variational inequalities and equilibria

被引:0
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作者
Giancarlo Bigi
Lorenzo Lampariello
Simone Sagratella
Valerio Giuseppe Sasso
机构
[1] University of Pisa,Department of Computer Science
[2] Roma Tre University,Department of Business Studies
[3] Sapienza University of Rome,Department of Computer, Control and Management Engineering Antonio Ruberti
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关键词
Nash games; Variational inequalities; Natural map; Inexact solutions; 90C33; 91A10; 49J40; 90C25;
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摘要
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.
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