{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T14:30:59Z","timestamp":1759847459862},"reference-count":40,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2003,9,1]],"date-time":"2003-09-01T00:00:00Z","timestamp":1062374400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["European Journal of Operational Research"],"published-print":{"date-parts":[[2003,9]]},"DOI":"10.1016\/s0377-2217(02)00453-8","type":"journal-article","created":{"date-parts":[[2003,1,10]],"date-time":"2003-01-10T13:08:14Z","timestamp":1042204094000},"page":"676-687","source":"Crossref","is-referenced-by-count":24,"title":["Semivalues as power indices"],"prefix":"10.1016","volume":"149","author":[{"given":"Francesc","family":"Carreras","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josep","family":"Freixas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mar\u0131\u0301a Albina","family":"Puente","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0377-2217(02)00453-8_BIB1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/BF01243154","article-title":"Games and cooperation indices","volume":"24","author":"Amer","year":"1995","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB2","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/BF01766876","article-title":"Cooperative games with coalition structures","volume":"3","author":"Aumann","year":"1974","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB3","first-page":"317","article-title":"Weighted voting doesn\u2019t work: A mathematical analysis","volume":"19","author":"Banzhaf","year":"1965","journal-title":"Rutgers Law Review"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB4","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0165-4896(97)00015-2","article-title":"Potentials in cooperative TU-games","volume":"34","author":"Calvo","year":"1997","journal-title":"Mathematical Social Sciences"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB5","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0165-4896(91)90030-U","article-title":"Restriction of simple games","volume":"21","author":"Carreras","year":"1991","journal-title":"Mathematical Social Sciences"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB6","series-title":"Logic, Game Theory and Social Choice","first-page":"140","article-title":"Some theoretical reasons for using (regular) semivalues","author":"Carreras","year":"1999"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB7","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1016320723186","article-title":"Semivalue versatility and applications","volume":"109","author":"Carreras","year":"2002","journal-title":"Annals of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB8","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1006\/game.1997.0498","article-title":"The multilinear extension of the quotient game","volume":"18","author":"Carreras","year":"1997","journal-title":"Games and Economic Behavior"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB9","series-title":"Social Choice","first-page":"269","article-title":"Control of collectivities and the power of a collectivity to act","author":"Coleman","year":"1971"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB10","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01753239","article-title":"A new index of power for simple n-person games","volume":"7","author":"Deegan","year":"1978","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB11","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0377-2217(95)00292-8","article-title":"New mathematical properties of the Banzhaf value","volume":"95","author":"Dragan","year":"1996","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB12","unstructured":"Dragan, I., 1997. Some recursive definitions of the Shapley value and other linear values of cooperative TU games. Working Paper 328 of the University of Texas at Arlington"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB13","first-page":"85","article-title":"Potential and consistency for semivalues of finite cooperative TU games","volume":"9","author":"Dragan","year":"1999","journal-title":"International Journal of Mathematics Game, Theory and Algebra"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB14","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/BF01780630","article-title":"On the uniqueness of the Shapley value","volume":"4","author":"Dubey","year":"1975","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB15","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1287\/moor.4.2.99","article-title":"Mathematical properties of the Banzhaf power index","volume":"4","author":"Dubey","year":"1979","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB16","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1287\/moor.6.1.122","article-title":"Value theory without efficiency","volume":"6","author":"Dubey","year":"1981","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB17","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1287\/moor.12.2.185","article-title":"Semivalues of simple games","volume":"12","author":"Einy","year":"1987","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB18","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/BF01079500","article-title":"Postulates and paradoxes of relative voting power","volume":"38","author":"Felsenthal","year":"1995","journal-title":"Theory and Decision"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB19","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/BF01240041","article-title":"Alternative axiomatic characterizations of the Shapley and Banzhaf values","volume":"24","author":"Feltkamp","year":"1995","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB20","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF01769093","article-title":"Common behaviour of power indices","volume":"12","author":"Gambarelli","year":"1983","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB21","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/BF01247318","article-title":"Collusion properties of values","volume":"23","author":"Haller","year":"1994","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB22","series-title":"The Shapley value: Essays in Honor of Lloyd S. Shapley","first-page":"127","article-title":"The potential of the Shapley value","author":"Mas-Colell","year":"1988"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB23","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1068\/a100907","article-title":"On the measurement of power: Some reactions to laver","volume":"10","author":"Johnston","year":"1978","journal-title":"Environment and Planning A"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB24","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF01756292","article-title":"On weighted Shapley values","volume":"16","author":"Kalai","year":"1987","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB25","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1287\/moor.26.1.89.10589","article-title":"Shapley\u2013Shubik and Banzhaf indices revisited","volume":"26","author":"Laruelle","year":"2001","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB26","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF01254541","article-title":"An axiomatization of the Banzhaf value","volume":"17","author":"Lehrer","year":"1988","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB27","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1287\/moor.2.3.225","article-title":"Graphs and cooperation in games","volume":"2","author":"Myerson","year":"1977","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB28","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1002\/nav.3800220409","article-title":"Multilinear extensions and the Banzhaf value","volume":"22","author":"Owen","year":"1975","journal-title":"Naval Research Logistics Quarterly"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB29","series-title":"Essays in Mathematical Economics and Game Theory","first-page":"76","article-title":"Values of games with a priori unions","author":"Owen","year":"1977"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB30","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1137\/0135026","article-title":"Characterization of the Banzhaf-Coleman index","volume":"35","author":"Owen","year":"1978","journal-title":"SIAM Journal of Applied Mathematics"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB31","unstructured":"Puente, M.A., 2000. Aportaciones a la representabilidad de juegos simples y al c\u00e0lculo de soluciones de esta clase de juegos. Ph.D. Thesis, Polytechnic University of Catalonia (in Spanish)"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB32","series-title":"The Shapley value: Essays in honor of Lloyd S. Shapley","first-page":"51","article-title":"The expected utility of playing a game","author":"Roth","year":"1988"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB33","unstructured":"Ruiz, L.M., 1995. Two new characterizations of the Banzhaf semivalue. A comparison with the Shapley value. Working Paper 7\/1995 of the Basque Country University"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB34","series-title":"Contributions to the Theory of Games II","first-page":"307","article-title":"A value for n-person games","author":"Shapley","year":"1953"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB35","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1002\/bs.3830070104","article-title":"Simple games: An outline of the descriptive theory","volume":"7","author":"Shapley","year":"1962","journal-title":"Behavioral Science"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB36","doi-asserted-by":"crossref","first-page":"787","DOI":"10.2307\/1951053","article-title":"A method for evaluating the distribution of power in a committee system","volume":"48","author":"Shapley","year":"1954","journal-title":"American Political Science Review"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB37","series-title":"The Shapley value: Essays in honor of Lloyd S. Shapley","first-page":"71","article-title":"The Shapley\u2013Shubik and Banzhaf power indices as probabilities","author":"Straffin","year":"1988"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB38","series-title":"Game Theory and Related Topics","first-page":"129","article-title":"Subjectivity in the valuation of games","author":"Weber","year":"1979"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB39","series-title":"The Shapley value: Essays in honor of Lloyd S. Shapley","first-page":"101","article-title":"Probabilistic values for games","author":"Weber","year":"1988"},{"key":"10.1016\/S0377-2217(02)00453-8_BIB40","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF01769885","article-title":"Monotonic solutions of cooperative games","volume":"14","author":"Young","year":"1985","journal-title":"International Journal of Game Theory"}],"container-title":["European Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221702004538?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221702004538?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,30]],"date-time":"2019-03-30T09:21:46Z","timestamp":1553937706000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377221702004538"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,9]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,9]]}},"alternative-id":["S0377221702004538"],"URL":"https:\/\/doi.org\/10.1016\/s0377-2217(02)00453-8","relation":{},"ISSN":["0377-2217"],"issn-type":[{"value":"0377-2217","type":"print"}],"subject":[],"published":{"date-parts":[[2003,9]]}}}