{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T23:15:23Z","timestamp":1771024523023,"version":"3.50.1"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2013,12]]},"abstract":"<jats:p> One of the important solution concepts in cooperative game theory is the Shapley value. The Shapley value is a probabilistic value in which each player subjectively assigns probabilities to the events which define their positions in a game. One of the most important concepts of subjective probability is the exchangeability. This paper characterizes the aspects of exchangeability in the Shapley value. We discuss exchangeability aspects in the Owen's multilinear characterization of the Shapley value; and, derive the Shapley value using exchangeability. We also link exchangeability to the Shapley's original derivation of the Shapley value. Lastly, we discuss exchangeability aspects in the semivalues. We show that, for a fixed finite set of players, the probability assignment in a semivalue cannot be a unique mixture of binomial distributions. <\/jats:p>","DOI":"10.1142\/s0219198913400288","type":"journal-article","created":{"date-parts":[[2013,7,2]],"date-time":"2013-07-02T08:08:03Z","timestamp":1372752483000},"page":"1340028","source":"Crossref","is-referenced-by-count":3,"title":["ASPECTS OF EXCHANGEABILITY IN THE SHAPLEY VALUE"],"prefix":"10.1142","volume":"15","author":[{"given":"R. K.","family":"AMIT","sequence":"first","affiliation":[{"name":"Department of Management Studies, Indian Institute of Technology Madras, Chennai, India"}]},{"given":"PARTHASARATHY","family":"RAMACHANDRAN","sequence":"additional","affiliation":[{"name":"Department of Management Studies, Indian Institute of Science, Bangalore, India"}]}],"member":"219","published-online":{"date-parts":[[2013,11,18]]},"reference":[{"key":"rf1","first-page":"1","volume":"7","author":"de Finetti B.","journal-title":"Annales de l'I. H. P."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00486116"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1287\/moor.6.1.122"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511571756"},{"key":"rf5","volume-title":"Studies in Subjective Probability","author":"Kyburg H. E.","year":"1980"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.18.5.64"},{"key":"rf7","volume-title":"Game Theory","author":"Owen G.","year":"1995"},{"key":"rf8","volume-title":"Probability Theory","author":"Renyi A.","year":"1970"},{"key":"rf9","series-title":"Annals of Mathematics Studies","volume-title":"A Value for n-Person Games","volume":"2","author":"Shapley L. S.","year":"1953"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511614293"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198913400288","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T13:27:59Z","timestamp":1565098079000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198913400288"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,18]]},"references-count":10,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2013,11,18]]},"published-print":{"date-parts":[[2013,12]]}},"alternative-id":["10.1142\/S0219198913400288"],"URL":"https:\/\/doi.org\/10.1142\/s0219198913400288","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,18]]}}}