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Contributions to Game Theory and Management, 2017, том 10, страницы 339–349
(Mi cgtm314)
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Constructive and blocking powers in some applications
Svetlana Tarashninaa, Nadezhda Smirnovab a St. Petersburg State University,
7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
b Higher School of Economics,
Department of Applied Mathematics and Business Informatics,
Soyuza Pechatnikov ul. 16, St. Petersburg, 190008, Russia
Аннотация:
We investigate the prenucleolus, the anti-prenucleolus and the $SM$-nucleolus in glove market games and weighted majority games. This kind of games looks desirable for considering solution concepts taking into account the blocking power of a coalition $S$ with different weights. Analytical formulae for calculating the solutions are presented for glove market game. Influence of the blocking power on players' payoffs is discussed and the examples which demonstrate similarities and differences comparing with other solution concepts are given.
Ключевые слова:
cooperative $\mathrm{TU}$-game, solution concept, prenucleolus, $SM$-nucleolus, constructive and blocking power, glove market game, weighted majority game.
Образец цитирования:
Svetlana Tarashnina, Nadezhda Smirnova, “Constructive and blocking powers in some applications”, Contributions to Game Theory and Management, 10 (2017), 339–349
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm314 https://www.mathnet.ru/rus/cgtm/v10/p339
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