Lexicographic solutions for coalitional rankings based on individual and collective performances

Sylvain Béal, Eric Rémila () and Philippe Solal
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Eric Rémila: Université de Saint-Etienne, CNRS UMR 5824 GATE Lyon Saint-Etienne, France

No 2021-07, Working Papers from CRESE

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 an individual 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)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2021-10
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Journal Article: 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 (2022)
Working Paper: Lexicographic solutions for coalitional rankings based on individual and collective performances (2021)
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