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Interval Values for Multicriteria Cooperative Games
Multicriteria situations interval valued games cooperative games
2010/12/6
In this paper we consider multicriteria interval games. The importance of multiobjectives follows from applications to real world. We consider interval valued games and extend some classical solutions...
The Existence of Equilibria in Discontinuous and Nonconvex Games
Nash equilibrium dominant strategy equilibrium discontinuity nonquasiconcavity nonconvexity
2010/7/2
This paper investigates the existence of pure strategy, dominant-strategy, and mixed strategy Nash equilibria in discontinuous and nonconvex games. We introduce a new notion of very weak continuity, c...
Existence of Equilibrium in Minimax Inequalities, Saddle Points, Fixed Points, and Games without Convexity Sets
minimax inequality saddle points fixed points coincidence points discontinuity non-quasiconcavity non-convexity non-compactness
2010/7/2
This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasi-concavity of functions and convexity or compactness of choice sets. A new condition, cal...