New axiomatizations of the Diversity Owen and Shapley values

Sylvain Béal (), Mostapha Diss () and Rodrigue Tido Takeng ()
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Sylvain Béal: CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE]
Mostapha Diss: CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE], UM6P - Université Mohammed VI Polytechnique = Mohammed VI Polytechnic University [Ben Guerir]
Rodrigue Tido Takeng: CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this note, we consider the class of TU-games with diversity constraints introduced by B and eacute;al et al. (J Math Econ 116:103077, 2025) and provide new characterizations of the so-called Diversity Shapley and Diversity Owen values, which extend the Shapley and Owen values. These results follow the approaches in terms of Fairness (van den Brink in Int J Game Theory 30:309-319, 2002) and Balanced contributions (Myerson in Int J Game Theory 9:169-182, 1980).

Keywords: TU-games; Diversity constraints; Axiomatic characterization; Diversity Shapley value; Diversity Owen value; Primary C71 (search for similar items in EconPapers)
Date: 2025
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Published in International Journal of Game Theory, 2025, 54 (1), pp.12. ⟨10.1007/s00182-025-00934-6⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-05081981

DOI: 10.1007/s00182-025-00934-6

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