{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T08:06:16Z","timestamp":1782979576692,"version":"3.54.5"},"reference-count":52,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2015,2,2]],"date-time":"2015-02-02T00:00:00Z","timestamp":1422835200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The present paper seeks to establish a logical foundation for studying axiomatically multi-agent probabilistic reasoning over a discrete space of outcomes. We study the notion of a social inference process which generalises the concept of an inference process for a single agent which was used by Paris and Vencovsk\u00e1 to characterise axiomatically the method of maximum entropy inference. Axioms for a social inference process are introduced and discussed, and a particular social inference process called the Social Entropy Process, or SEP, is defined which satisfies these axioms. SEP is justified heuristically by an information theoretic argument, and incorporates both the maximum entropy inference process for a single agent and the multi\u2013agent normalised geometric mean pooling operator.<\/jats:p>","DOI":"10.3390\/e17020594","type":"journal-article","created":{"date-parts":[[2015,2,2]],"date-time":"2015-02-02T10:27:36Z","timestamp":1422872856000},"page":"594-645","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A Foundational Approach to Generalising the Maximum Entropy Inference Process to the Multi-Agent Context"],"prefix":"10.3390","volume":"17","author":[{"given":"George","family":"Wilmers","sequence":"first","affiliation":[{"name":"School of Mathematics, University of Leeds, Leeds LS2 9JT, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,2,2]]},"reference":[{"key":"ref_1","first-page":"87","article-title":"The Social Entropy Process: Axiomatising the Aggregation of Probabilistic Beliefs","volume":"10","author":"Hosni","year":"2010","journal-title":"Probability, Uncertainty and Rationality"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0888-613X(90)90020-3","article-title":"A Note on the Inevitability of Maximum Entropy","volume":"4","author":"Paris","year":"1990","journal-title":"Int. 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