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Consistent rights on property spaces

Claudio Kretz

Journal of Economic Theory, 2021, vol. 197, issue C

Abstract: In many aggregation problems, subgroups of agents have the right to predetermine certain properties of the aggregate. Yet, such rights may be inconsistent. In preference aggregation, for example, the ‘liberal paradox’ refers to the incompatibility of minimal liberal rights with the Pareto principle (a right to society as a whole). We show that, in general, rights to properties are consistent if and only if the following simple condition holds. Whenever rights are given to a critical (i.e., minimally inconsistent) combination of properties, the respective rights holding groups must intersect to at least one common member. Rights are consistent with monotone independent aggregation (voting by properties) if and only if this condition holds under a suitable generalization of criticality. Our property formulation allows us to study a wide range of applications in social choice and judgment aggregation theory.

Keywords: Expert rights; Liberal rights; Liberal paradox; Judgment aggregation; General aggregation theory; Effectivity function (search for similar items in EconPapers)
JEL-codes: D71 D79 K0 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:197:y:2021:i:c:s002205312100140x

DOI: 10.1016/j.jet.2021.105323

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