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The classical merging of opinions theorem of Blackwell and Dubins shows when updated beliefs come and stay closer for Bayesian conditioning. We extend this result to a type of Jeffrey conditioning where agents update on evidence that is uncertain but solid (hard Jeffrey shifts). However, merging of beliefs does not generally hold for Jeffrey conditioning on evidence that is fluid (soft Jeffrey shifts, Field shifts). Several theorems on the asymptotic behavior of subjective probabilities are proven. Taken together they show that while a consensus nearly always emerges in important special cases, sustained rational disagreement can be expected in many other situations.<\/jats:p>","DOI":"10.1017\/s1755020315000180","type":"journal-article","created":{"date-parts":[[2015,11,17]],"date-time":"2015-11-17T16:14:03Z","timestamp":1447776843000},"page":"611-648","source":"Crossref","is-referenced-by-count":24,"title":["MERGING OF OPINIONS AND PROBABILITY KINEMATICS"],"prefix":"10.1017","volume":"8","author":[{"given":"SIMON M.","family":"HUTTEGGER","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2015,11,17]]},"reference":[{"key":"S1755020315000180_ref3","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176343654"},{"key":"S1755020315000180_ref13","doi-asserted-by":"publisher","DOI":"10.2307\/2185301"},{"key":"S1755020315000180_ref39","doi-asserted-by":"publisher","DOI":"10.1016\/S0049-237X(08)71044-9"},{"key":"S1755020315000180_ref18","volume-title":"The Quest for Certainty","author":"Dewey","year":"1929"},{"key":"S1755020315000180_ref48","doi-asserted-by":"publisher","DOI":"10.5840\/jphil20081051024"},{"key":"S1755020315000180_ref32","volume-title":"Religious Belief and Religious Scepticism","author":"Gutting","year":"1982"},{"key":"S1755020315000180_ref19","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349830"},{"key":"S1755020315000180_ref51","doi-asserted-by":"publisher","DOI":"10.1086\/651318"},{"key":"S1755020315000180_ref8","doi-asserted-by":"publisher","DOI":"10.1086\/432427"},{"key":"S1755020315000180_ref68","volume-title":"The Dynamics of Rational Deliberation","author":"Skyrms","year":"1990"},{"key":"S1755020315000180_ref30","volume-title":"Good Thinking. 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