Rooted-tree solutions for tree games
In this paper, we study cooperative games with limited cooperation possibilities, represented by a tree on the set of agents. Agents in the game can cooperate if they are connected in the tree. We introduce natural extensions of the average (rooted)-tree solution (see [Herings, P., van der Laan, G., Talman, D., 2008. The average tree solution for cycle free games. Games and Economic Behavior 62, 77-92]): the marginalist tree solutions and the random tree solutions. We provide an axiomatic characterization of each of these sets of solutions. By the way, we obtain a new characterization of the average tree solution.
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- Michel Grabisch & Fabien Lange, 2007.
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Games and Economic Behavior,
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- Mishra, D. & Talman, A.J.J., 2010.
"A characterization of the average tree solution for cycle-free graph games,"
Other publications TiSEM
6cab0e52-fe09-4428-8df6-0, Tilburg University, School of Economics and Management.
- Mishra, D. & Talman, A.J.J., 2009. "A Characterization of the Average Tree Solution for Cycle-Free Graph Games," Discussion Paper 2009-17, Tilburg University, Center for Economic Research.
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- Debasis Mishra & Dolf Talman, 2009.
"A Characterization of the average tree solution for tree games,"
Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers
09-08, Indian Statistical Institute, New Delhi, India.
- Debasis Mishra & A. Talman, 2010. "A characterization of the average tree solution for tree games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 105-111, March.
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