Feasible Conditional Belief Distributions

Fuente: arXiv
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Autores principales: Arieli, Itai, Babichenko, Yakov, Sandomirskiy, Fedor
Formato: Preprint
Publicado: 2023
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author Arieli, Itai
Babichenko, Yakov
Sandomirskiy, Fedor
author_facet Arieli, Itai
Babichenko, Yakov
Sandomirskiy, Fedor
contents Agents receive private signals about an unknown state. The resulting joint belief distributions are complex and lack a simple characterization. Our key insight is that, when conditioned on the state, the structure of belief distributions simplifies: feasibility constrains only the marginal distributions of individual agents across states, with no joint constraints within a state. We apply this insight to multi-receiver persuasion, identifying new tractable cases and introducing optimal transportation and duality tools.
format Preprint
id arxiv_https___arxiv_org_abs_2307_07672
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Feasible Conditional Belief Distributions
Arieli, Itai
Babichenko, Yakov
Sandomirskiy, Fedor
Theoretical Economics
Computer Science and Game Theory
Agents receive private signals about an unknown state. The resulting joint belief distributions are complex and lack a simple characterization. Our key insight is that, when conditioned on the state, the structure of belief distributions simplifies: feasibility constrains only the marginal distributions of individual agents across states, with no joint constraints within a state. We apply this insight to multi-receiver persuasion, identifying new tractable cases and introducing optimal transportation and duality tools.
title Feasible Conditional Belief Distributions
topic Theoretical Economics
Computer Science and Game Theory
url https://arxiv.org/abs/2307.07672