Sharing values for multi-choice games: an axiomatic approach

David Lowing () and Makoto Yokoo ()
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David Lowing: Kyushu University, CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE], LGI - Laboratoire Génie Industriel - CentraleSupélec - Université Paris-Saclay
Makoto Yokoo: Kyushu University

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Abstract: A Sharing value for transferable utility games distributes the Harsanyi dividend of each coalition among the players in the coalition's support. Such distribution is done according to a certain sharing system that determines the Sharing value. In this paper, we extend Sharing values to multi-choice games. Multi-choice games are a generalization of transferable utility games in which players have several activity levels. Unlike in transferable utility games, there is no straightforward way to interpret the support of a coalition in a multi-choice game. This makes it more tedious to distribute the Harsanyi dividend of a multi-choice coalition. We consider three possible interpretations of the support of a multi-choice coalition. Based on these interpretations, we derive three families of Sharing values for multi-choice games. To conduct this study, we discuss novel and classical axioms for multi-choice games. This allows us to provide an axiomatic foundation for each of these families of values.

Keywords: Harsanyi set; Sharing values; Multi-choice games (search for similar items in EconPapers)
Date: 2025-08-06
New Economics Papers: this item is included in nep-inv and nep-upt
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Published in International Journal of Game Theory, 2025, 54 (2), pp.30. ⟨10.1007/s00182-025-00952-4⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04018735

DOI: 10.1007/s00182-025-00952-4

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