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Rooted-tree solutions for tree games

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  • Béal, Sylvain
  • Rémila, Eric
  • Solal, Philippe

Abstract

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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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 203 (2010)
Issue (Month): 2 (June)
Pages: 404-408

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Handle: RePEc:eee:ejores:v:203:y:2010:i:2:p:404-408

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: C71 Average tree solution Communication structure Marginal contributions Random (order) values;

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