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Autor principal: Hermida-Rivera, Héctor
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2506.16059
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author Hermida-Rivera, Héctor
author_facet Hermida-Rivera, Héctor
contents This note shows that under the unrestricted domain, there exists a choice liberal and Nash implementable social choice rule if and only if there are at least three players and the outcome set is at least twice as large as the player set. A social choice rule is choice liberal if and only if for every player, there exists at least one pair of outcomes such that if this player strictly prefers one over the other, the one he prefers is socially desirable and the other one is not. A social choice rule is Nash implementable if and only if there exists a mechanism such that at every preference profile, the set of Nash equilibrium outcomes coincides with the set of socially desirable ones. The proof constructs an intuitive Nash implementing mechanism.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16059
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Implementability of Liberalism
Hermida-Rivera, Héctor
Theoretical Economics
This note shows that under the unrestricted domain, there exists a choice liberal and Nash implementable social choice rule if and only if there are at least three players and the outcome set is at least twice as large as the player set. A social choice rule is choice liberal if and only if for every player, there exists at least one pair of outcomes such that if this player strictly prefers one over the other, the one he prefers is socially desirable and the other one is not. A social choice rule is Nash implementable if and only if there exists a mechanism such that at every preference profile, the set of Nash equilibrium outcomes coincides with the set of socially desirable ones. The proof constructs an intuitive Nash implementing mechanism.
title The Implementability of Liberalism
topic Theoretical Economics
url https://arxiv.org/abs/2506.16059