Average monotonic cooperative games with nontransferable utility

Peter Sudhölter, José-Manuel Giménez-Gómez () and Cori Vilella ()
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José-Manuel Giménez-Gómez: Universitat Rovira i Virgili, Postal: Departament d’Economia and ECO-SOS, Av.Universitat 1,, 43204 Reus , Spain
Cori Vilella: Universitat Rovira i Virgili, Postal: Dep. de Gesti´o d’Empreses and ECO-SOS, Av.Universitat 1 , 43204 Reus , Spain

No 9/2022, Discussion Papers on Economics from University of Southern Denmark, Department of Economics

Abstract: A non-negative transferable utility (TU) game is average monotonic if there exists a non-negative allocation according to which the relative worth is not decreasing when enlarging the coalition. We generalize this definition to the nontransferable utility (NTU) case. It is shown that an average monotonic NTU game shares several properties with an average monotonic TU game. In particular it has a special core element and there exists a population monotonic allocation scheme. We show that an NTU bankruptcy game is average monotonic with respect to the claims vector.

Keywords: nontransferable utility; average monotonicity; core; population monotonicity (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2022-10-29
New Economics Papers: this item is included in nep-gth and nep-upt
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Journal Article: Average monotonic cooperative games with nontransferable utility (2023)
Working Paper: Average monotonic cooperative games with nontransferable utility (2022)
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