Volume 48, Issue 12 pp. 12421-12426
RESEARCH ARTICLE

A Statistical Duality for Random Matching of Agents

Athanasios Yannacopoulos

Athanasios Yannacopoulos

Department of Statistics, Athens University of Economics and Business, Athens, Greece

Contribution: Conceptualization, Methodology, Formal analysis, Writing - original draft

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Bruno Oliveira

Bruno Oliveira

LIAAD–INESC TEC, Porto, Portugal

Faculty of Nutrition and Food Sciences, University of Porto, Porto, Portugal

Contribution: Conceptualization, Methodology, Formal analysis, Writing - original draft

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Miguel Ferreira

Miguel Ferreira

Universidade Portucalense, Porto, Portugal

ISAG—European Business School, Porto, Portugal

Contribution: Conceptualization, Methodology, Formal analysis, Writing - original draft

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José Martins

José Martins

LIAAD–INESC TEC, Porto, Portugal

School of Technology and Management, Polytechnic of Leiria, Leiria, Portugal

Contribution: Conceptualization, Methodology, Formal analysis, Writing - original draft

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Alberto Pinto

Corresponding Author

Alberto Pinto

LIAAD–INESC TEC, Porto, Portugal

Department of Mathematics, Faculty of Sciences, University of Porto, Porto, Portugal

Correspondence:

Alberto Pinto ([email protected])

Contribution: Conceptualization, Methodology, Formal analysis, Writing - original draft

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First published: 06 May 2025

Funding: This work is financed by National Funds through the Portuguese funding agency, FCT - Fundação para a Ciência e a Tecnologia, within project LA/P/0063/2020.

ABSTRACT

We propose a statistical duality among the preferences and endowments of the agents. Under this duality, the logarithmic prices of random trades among agents in a decentralized economy converge in expectation to the logarithm of the Walrasian equilibrium price in a centralized economy.

Conflicts of Interest

The authors declare no conflicts of interest.

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