A statistical duality for Random Matching of Agents

• Author(s): Yannacopoulos, Athanasios ; Oliveira, Bruno ; Ferreira, Miguel ; Martins, José ; Pinto, Alberto
• Date: 2025
• Persistent ID: Yannacopoulos, A., Oliveira, B., Ferreira, M., Martins, J., & Pinto, A. (2025). A statistical duality for Random Matching of Agents. Mathematical Methods in the Applied Sciences, 48(9), 1-6. https://doi.org/10.1002/mma.11035. Repositório Institucional UPT. https://hdl.handle.net/11328/6330
• Origin: Repositório da Universidade Portucalense
• Subject(s): Statistical Duality; Ciências Naturais - Ciências da Computação e da Informação
• Document Type: Journal article
• Language: English

Description

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.