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Choosing a specific process belonging to this class, that we define <jats:italic>fair trading<\/jats:italic>, 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, and derive an analog of the Second Welfare Theorem for networks. This result is used to explore what is the effect of the network topology on the trade dynamics and on the final allocation.<\/jats:p>","DOI":"10.1007\/s00355-024-01542-1","type":"journal-article","created":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T08:02:22Z","timestamp":1722844942000},"page":"427-463","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Decentralized pure exchange processes on networks"],"prefix":"10.1007","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2216-4562","authenticated-orcid":false,"given":"Daniele","family":"Cassese","sequence":"first","affiliation":[]},{"given":"Paolo","family":"Pin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,8,5]]},"reference":[{"issue":"3","key":"1542_CR1","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1111\/j.0347-0520.2004.00378.x","volume":"106","author":"SP Anderson","year":"2004","unstructured":"Anderson SP, Goeree JK, Holt CA (2004) Noisy directional learning and the logit equilibrium. 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