Coordination Mechanisms with Partially Specified Probabilities
Abstract
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.
Cite
@article{arxiv.2605.07469,
title = {Coordination Mechanisms with Partially Specified Probabilities},
author = {Francesco Giordano},
journal= {arXiv preprint arXiv:2605.07469},
year = {2026}
}