On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium)
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BUKHTOYAROV, Sergei, EMELICHEV, Vladimir. On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium). In: Computer Science Journal of Moldova, 2004, nr. 3(36), pp. 371-380. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(36) / 2004 / ISSN 1561-4042 /ISSNe 2587-4330

On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium)
MSC 2010: 90C05, 90C10, 90C29, 90C31

Pag. 371-380

Bukhtoyarov Sergei, Emelichev Vladimir
 
Belarusian State University
 
Proiecte:
 
Disponibil în IBN: 4 iulie 2017


Rezumat

A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions. Lexicographically optimal situation and Nash equilibrium situation correspond to two special cases of this partition. The quantitative analysis of stability of an optimal situation for the independent perturbations of players’ payoff functions is performed. The maximum level of such perturbations which save the optimality of a situation is found.

Cuvinte-cheie
finite cooperative game, concept of equilibrium, lexicographically optimal situation, Nash equilibrium situation,

stability radius