Coordination Mechanisms with Partially Specified Probabilities

Fuente: arXiv
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Main Author: Giordano, Francesco
Format: Preprint
Published: 2026
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author Giordano, Francesco
author_facet Giordano, Francesco
contents We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of finitely many random variables and form beliefs by maximum-entropy inference. We obtain two characterizations. When message spaces are unrestricted, implementable outcomes coincide with jointly coherent outcomes, expanding the set of correlated equilibria. With canonical mechanisms, implementability reduces to a single cross-entropy condition: the target outcome must lie on the cross-entropy level set of some correlated equilibrium that passes through that equilibrium itself. Examples and several classes of games illustrate the reach of the framework.
format Preprint
id arxiv_https___arxiv_org_abs_2605_07469
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coordination Mechanisms with Partially Specified Probabilities
Giordano, Francesco
Theoretical Economics
We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of finitely many random variables and form beliefs by maximum-entropy inference. We obtain two characterizations. When message spaces are unrestricted, implementable outcomes coincide with jointly coherent outcomes, expanding the set of correlated equilibria. With canonical mechanisms, implementability reduces to a single cross-entropy condition: the target outcome must lie on the cross-entropy level set of some correlated equilibrium that passes through that equilibrium itself. Examples and several classes of games illustrate the reach of the framework.
title Coordination Mechanisms with Partially Specified Probabilities
topic Theoretical Economics
url https://arxiv.org/abs/2605.07469