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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1258–1264
(Mi zvmmf444)
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This article is cited in 11 scientific papers (total in 11 papers)
Measure of stability for a finite cooperative game with a parametric optimality principle (from Pareto to Nash)
S. E. Bukhtoyarov, V. A. Emelichev Belarussian State University, pr. F. Skoriny 4, Minsk, 220050, Belarus
Abstract:
A finite cooperative game in normal form is considered. Its optimality principle is specified with the help of a parameter such that Pareto optimality and Nash equilibrium correspond to two extreme parameter values. The limiting level of perturbations in the coefficients of payoff functions that do not give rise to new efficient situations is studied.
Key words:
cooperative game, Pareto optimality, Nash equilibrium, stability radius.
Received: 21.02.2005
Citation:
S. E. Bukhtoyarov, V. A. Emelichev, “Measure of stability for a finite cooperative game with a parametric optimality principle (from Pareto to Nash)”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1258–1264; Comput. Math. Math. Phys., 46:7 (2006), 1193–1199
Linking options:
https://www.mathnet.ru/eng/zvmmf444 https://www.mathnet.ru/eng/zvmmf/v46/i7/p1258
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Abstract page: | 379 | Full-text PDF : | 122 | References: | 23 | First page: | 1 |
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