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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 2, Pages 32–36 (Mi isu215)

Mathematics

Optimality solutions in games with preference relations

T. F. Savina

Saratov State University, Chair of Geometry

Abstract: For $n$ person games with preference relations some types of optimality solutions are introduced. Elementary properties of their solutions are considered. One sufficient condition for nonempty $C_\alpha$-core is found.

Key words: game with preference relations, equilibrium points, Nash equilibrium, acceptable (quite acceptable) outcome.

UDC: 519.83

DOI: 10.18500/1816-9791-2011-11-2-32-36



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