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Contributions to Game Theory and Management, 2011, том 4, страницы 311–326
(Mi cgtm196)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Claim Problems with Coalition Demands
Natalia I. Naumova St. Petersburg State University,
Faculty of Mathematics and Mechanics
Universitetsky pr. 28, Petrodvorets, St. Petersburg, 198504, Russia
Аннотация:
We consider a generalized claim problem, where each member of a fixed collection of coalitions
of agents $\mathcal{A}$ has its claim. Several generalizations of the Proportional method and of
the Uniform Losses method for claim problems are examined.
For claim problems, the proportional solution, the proportional nucleolus, and the weighted
entropy solution give the same results. For generalized claim problem conditions on $\mathcal{A}$
that provide the existence of the proportional solution and the existence of the weakly
proportional solution are obtained.
The condition on $\mathcal{A}$ for coincidence the weighted entropy solution and the weakly
proportional solution is obtained. For such $\mathcal{A}$, we give an axiomatic justification for
a selector of these solutions.
For claim problems, the uniform losses solution, the nucleolus, and the least square solution
give the same results, but for generalized claim problems conditions on $\mathcal{A}$ concerning
existence results and inclusion results are similar to the case of proportional solution.
Ключевые слова:
claim problem, cooperative games, proportional solution, weighted entropy, nucleolus, constrained equal losses solution.
Образец цитирования:
Natalia I. Naumova, “Claim Problems with Coalition Demands”, Contributions to Game Theory and Management, 4 (2011), 311–326
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm196 https://www.mathnet.ru/rus/cgtm/v4/p311
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Страница аннотации: | 123 | PDF полного текста: | 49 | Список литературы: | 44 |
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