Lexicographic solutions for coalitional rankings based on individual and collective performances

Sylvain Béal, Eric Rémila and Philippe Solal

Journal of Mathematical Economics, 2022, vol. 102, issue C

Abstract: A coalitional ranking describes a situation where a finite set of agents can form coalitions that are ranked according to a weak order. A social ranking solution on a domain of coalitional rankings assigns a social ranking, that is a weak order over the agent set, to each coalitional ranking of this domain. We introduce two lexicographic solutions for a variable population domain of coalitional rankings. These solutions are computed from the individual performance of the agents, then, when this performance criterion does not allow to decide between two agents, a collective performance criterion is applied to the coalitions of higher size. We provide parallel axiomatic characterizations of these two solutions.

Keywords: Coalitional rankings; Converse consistency; Individual performance; Lexicographic criteria; Path monotonocity (search for similar items in EconPapers)
Date: 2022
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Working Paper: Lexicographic solutions for coalitional rankings based on individual and collective performances (2022)
Working Paper: Lexicographic solutions for coalitional rankings based on individual and collective performances (2021)
Working Paper: Lexicographic solutions for coalitional rankings based on individual and collective performances (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:102:y:2022:i:c:s0304406822000726

DOI: 10.1016/j.jmateco.2022.102738

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