Mutually dependent, balanced contributions, and the priority value

Songtao He (), Erfang Shan () and Yuxin Sun ()
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Songtao He: Shanghai University
Erfang Shan: Shanghai University
Yuxin Sun: Shanghai University

Journal of Combinatorial Optimization, 2025, vol. 50, issue 1, No 10, 16 pages

Abstract: Abstract The Priority value (Béal et al. in Int J Game Theory 51:431–450, 2022) is an allocation rule for TU-games with a priority structure, which distributes the Harsanyi dividend of each coalition among the set of its priority players. In this paper we propose two variants of the differential marginality of mutually dependent players axiom for TU-games with a priority structure, and extend the classical axiom of balanced contributions to TU-games with a priority structure. We provide several new characterizations of the Priority value which invoke these modified axioms and the standard axioms: efficiency, the null player property, the priority player out and the null player out.

Keywords: TU-game; The Priority value; Mutually dependent players; Differential marginality; Balanced contributions; C71 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10878-025-01340-0

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