Existence of Projected Solutions for Generalized Nash Equilibrium Problems

Orestes Bueno () and John Cotrina ()
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Orestes Bueno: Universidad del Pacífico
John Cotrina: Universidad del Pacífico

Journal of Optimization Theory and Applications, 2021, vol. 191, issue 1, No 13, 344-362

Abstract: Abstract We study the existence of projected solutions for generalized Nash equilibrium problems defined in Banach spaces, under mild convexity assumptions for each loss function and without lower semicontinuity assumptions on the constraint maps. Our approach is based on Himmelberg’s fixed point theorem. As a consequence, we also obtain existence of projected solutions for quasi-equilibrium problems and quasi-variational inequalities. Finally, we show the existence of projected solutions for Single-Leader–Multi-Follower games.

Keywords: Generalized Nash equilibrium; Generalized convexity; Non-self-map; Fixed point; Quasi-equilibrium problems; Quasi-variational inequalities; 49J40; 90C26; 91B50 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-021-01941-9

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