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Allocation rules for multi-choice games with a permission tree structure

David Lowing

Annals of Operations Research, 2023, vol. 320, issue 1, No 10, 291 pages

Abstract: Abstract We consider multi-choice cooperative games with a permission tree structure. Multi-choice games are a generalization of cooperative transferable utility games in which each player has several activity levels. In addition, a permission tree structure models a situation in which a player needs permission from another player to cooperate. In this framework, the influence of a permission structure on the possibility of cooperation may have several interpretations depending on the context. In this paper, we investigate several of these interpretations and introduce for each of them a new allocation rule that we axiomatically characterize.

Keywords: Multi-choice games; Multi-choice permission value; Permission (tree) structures (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-04953-4

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