Average monotonic cooperative games with nontransferable utility

José-Manuel Giménez-Gómez (), Peter Sudhölter and Cori Vilella ()
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José-Manuel Giménez-Gómez: Universitat Rovira i Virgili
Cori Vilella: Universitat Rovira i Virgili

Mathematical Methods of Operations Research, 2023, vol. 97, issue 3, No 5, 383-390

Abstract: Abstract A non-negative transferable utility (TU) game is average monotonic if there exists a non-negative vector 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)
Date: 2023
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Citations: View citations in EconPapers (1)

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Working Paper: Average monotonic cooperative games with nontransferable utility (2022)
Working Paper: Average monotonic cooperative games with nontransferable utility (2022)
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DOI: 10.1007/s00186-023-00819-y

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