Contributions to Game Theory and Management
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Contributions to Game Theory and Management, 2011, том 4, страницы 241–265 (Mi cgtm192)  

Two Solution Concepts for TU Games with Cycle-Free Directed Cooperation Structures

Anna Khmelnitskayaa, Dolf Talmanb

a SPb Institute for Economics and Mathematics Russian Academy of Sciences, 1 Tchaikovsky St., 191187, St. Petersburg, Russia
b CentER, Department of Econometrics & Operations Research, Tilburg University, P. O. Box 90153, 5000 LE Tilburg, The Netherlands
Список литературы:
Аннотация: For arbitrary cycle-free directed graph games tree-type values are introduced axiomatically and their explicit formula representation is provided. These values may be considered as natural extensions of the tree and sink values as has been defined correspondingly for rooted and sink forest graph games. The main property for the tree value is that every player in the game receives the worth of this player together with his successors minus what these successors receive. It implies that every coalition of players consisting of one of the players with all his successors receives precisely its worth. Additionally their efficiency and stability are studied. Simple recursive algorithms to calculate the values are also provided. The application to the water distribution problem of a river with multiple sources, a delta and possibly islands is considered.
Ключевые слова: TU game, cooperation structure, Myerson value, efficiency, deletion link property, stability.
Тип публикации: Статья
MSC: 91A12, 91A43
Язык публикации: английский
Образец цитирования: Anna Khmelnitskaya, Dolf Talman, “Two Solution Concepts for TU Games with Cycle-Free Directed Cooperation Structures”, Contributions to Game Theory and Management, 4 (2011), 241–265
Цитирование в формате AMSBIB
\RBibitem{KhmTal11}
\by Anna~Khmelnitskaya, Dolf~Talman
\paper Two Solution Concepts for TU Games with Cycle-Free Directed Cooperation Structures
\jour Contributions to Game Theory and Management
\yr 2011
\vol 4
\pages 241--265
\mathnet{http://mi.mathnet.ru/cgtm192}
Образцы ссылок на эту страницу:
  • https://www.mathnet.ru/rus/cgtm192
  • https://www.mathnet.ru/rus/cgtm/v4/p241
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