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Main Authors: Basteck, Christian, Lojkine, Ulysse
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.10112
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author Basteck, Christian
Lojkine, Ulysse
author_facet Basteck, Christian
Lojkine, Ulysse
contents In a strategy-proof mechanism, the influence of an agent may be measured as the set of outcomes an agent can bring about by varying her (reported) type. More specifically, we refer to an agent's influence on her own relevant outcomes as her freedom, and to the influence on outcomes relevant for other agents as her power over others. The framework generalises both the notion of opportunity set from the freedom of choice literature, and established power indices for binary voting. It identifies constrained efficient mechanisms as those that maximise agents' freedom. Applying our framework to the analysis of assignment rules, we provide novel characterisations of the top trading cycles rule and bipolar serial dictatorships in terms of their freedom and power properties.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10112
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Power and Freedom in Mechanisms
Basteck, Christian
Lojkine, Ulysse
Theoretical Economics
In a strategy-proof mechanism, the influence of an agent may be measured as the set of outcomes an agent can bring about by varying her (reported) type. More specifically, we refer to an agent's influence on her own relevant outcomes as her freedom, and to the influence on outcomes relevant for other agents as her power over others. The framework generalises both the notion of opportunity set from the freedom of choice literature, and established power indices for binary voting. It identifies constrained efficient mechanisms as those that maximise agents' freedom. Applying our framework to the analysis of assignment rules, we provide novel characterisations of the top trading cycles rule and bipolar serial dictatorships in terms of their freedom and power properties.
title Power and Freedom in Mechanisms
topic Theoretical Economics
url https://arxiv.org/abs/2512.10112