{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:07:16Z","timestamp":1760170036343},"reference-count":3,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2000,6]]},"abstract":"<jats:p> We introduce two indices for the degree of incoherence in a set of lower and upper previsions: maximizing the rate of loss the incoherent bookmaker experiences in a Dutch Book, or maximizing the rate of profit the gambler achieves who makes Dutch Book against the incoherent bookmaker. We report how efficient bookmaking is achieved against these two indices in the case of incoherent previsions for events on a finite partition, and for incoherent previsions that include also a simple random variable. We relate the epsilon-contamination model to efficient bookmaking in the case of the rate of profit. <\/jats:p>","DOI":"10.1142\/s0218488500000241","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:43:29Z","timestamp":1051011809000},"page":"347-355","source":"Crossref","is-referenced-by-count":15,"title":["HOW SETS OF COHERENT PROBABILITIES MAY SERVE AS MODELS FOR DEGREES OF INCOHERENCE"],"prefix":"10.1142","volume":"08","author":[{"given":"MARK J.","family":"SCHERVISH","sequence":"first","affiliation":[{"name":"Department of Statistics, Carnegie Mellon University, Baker Hall 232 Pittsburg, PA 15213, USA"}]},{"given":"TEDDY","family":"SEIDENFELD","sequence":"additional","affiliation":[{"name":"Department of Statistics, Carnegie Mellon University, Baker Hall 232 Pittsburg, PA 15213, USA"}]},{"given":"JOSEPH B.","family":"KADANE","sequence":"additional","affiliation":[{"name":"Department of Statistics, Carnegie Mellon University, Baker Hall 232 Pittsburg, PA 15213, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_2","first-page":"1","volume":"23","author":"Smith C.A. B.","year":"1961","journal-title":"J.Royal .Stat Soc. B"},{"key":"p_3","first-page":"143","author":"Seidenfeld T.","year":"1990","journal-title":"Dordrecht"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02283530"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488500000241","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:18:43Z","timestamp":1565198323000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488500000241"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,6]]},"references-count":3,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2000,6]]}},"alternative-id":["10.1142\/S0218488500000241"],"URL":"https:\/\/doi.org\/10.1142\/s0218488500000241","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,6]]}}}