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Decentralized Pure Exchange Processes on Networks

2018/03/23 by Daniele Cassese, Cassese, Daniele, Paolo Pin +1
Decision Sciences · Economics, Econometrics and Finance · #Computer Science and Game Theory (cs.GT) #Econometrics (econ.EM) #Economic Theory and Institutions #Economic theories and models #FOS: Computer and information sciences #FOS: Economics and business #Game Theory and Applications

paper · pdf · doi:10.48550/arxiv.1803.08836

openalex publication_date 2018/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a class of pure exchange Edgeworth trading processes that under minimal assumptions converge to a stable set in the space of allocations, and characterise the Pareto set of these processes. Choosing a specific process belonging to this class, that we define fair trading, we analyse the trade dynamics between agents located on a weighted network. We determine the conditions under which there always exists a one-to-one map between the set of networks and the set of limit points of the dynamics. This result is used to understand what is the effect of the network topology on the trade dynamics and on the final allocation. We find that the positions in the network affect the distribution of the utility gains, given the initial allocations

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