The finite intersection property for equilibrium problems

John Cotrina () and Anton Svensson ()
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John Cotrina: Universidad del Pacífico
Anton Svensson: Universidad de O’Higgins

Journal of Global Optimization, 2021, vol. 79, issue 4, No 8, 957 pages

Abstract: Abstract The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.

Keywords: Quasi-equilibrium problem; Generalized Nash equilibrium problem; Variational inequality; Set-valued map; Generalized monotonicity; Finite intersection property; 47J20; 49J35; 90C37 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10898-020-00961-5

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