The Core in a Distributional Economy

Fuente: arXiv
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Autori principali: Greinecker, Michael, Podczeck, Konrad
Natura: Preprint
Pubblicazione: 2026
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author Greinecker, Michael
Podczeck, Konrad
author_facet Greinecker, Michael
Podczeck, Konrad
contents An economy, large or small, has traditionally been defined in terms of an explicit set of agents and an assignment of characteristics to each agent. But when individual agents are negligible, most economically relevant properties of an economy can be defined in terms of the distribution of characteristics alone. Agents need not be specified. It has been frequently asserted that the distributional description of an economy is too sparse for core analysis. Notions of coalitions and blocking require the individualistic description of agents. This paper shows that this is not so. The presence of blocking coalitions can be directly identified in terms of distributions alone. Indeed, we give a purely distributional proof of the classical core-equivalence theorem that delivers the core-equivalence theorem for individualistic economies as a corollary. Our methods have applications outside of general equilibrium theory. They apply to large matching markets and to analogs of the Shapley-value for atomless economies.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25761
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Core in a Distributional Economy
Greinecker, Michael
Podczeck, Konrad
Theoretical Economics
An economy, large or small, has traditionally been defined in terms of an explicit set of agents and an assignment of characteristics to each agent. But when individual agents are negligible, most economically relevant properties of an economy can be defined in terms of the distribution of characteristics alone. Agents need not be specified. It has been frequently asserted that the distributional description of an economy is too sparse for core analysis. Notions of coalitions and blocking require the individualistic description of agents. This paper shows that this is not so. The presence of blocking coalitions can be directly identified in terms of distributions alone. Indeed, we give a purely distributional proof of the classical core-equivalence theorem that delivers the core-equivalence theorem for individualistic economies as a corollary. Our methods have applications outside of general equilibrium theory. They apply to large matching markets and to analogs of the Shapley-value for atomless economies.
title The Core in a Distributional Economy
topic Theoretical Economics
url https://arxiv.org/abs/2604.25761