{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T10:40:11Z","timestamp":1760438411319,"version":"3.40.5"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2002,1,1]],"date-time":"2002-01-01T00:00:00Z","timestamp":1009843200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,1,1]],"date-time":"2002-01-01T00:00:00Z","timestamp":1009843200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annals of Operations Research"],"published-print":{"date-parts":[[2002,1]]},"DOI":"10.1023\/a:1016356303622","type":"journal-article","created":{"date-parts":[[2002,12,29]],"date-time":"2002-12-29T03:29:52Z","timestamp":1041132592000},"page":"213-227","source":"Crossref","is-referenced-by-count":71,"title":["Modification of the Banzhaf Value for Games with a Coalition Structure"],"prefix":"10.1007","volume":"109","author":[{"given":"Jos\u00e9 M.","family":"Alonso-Meijide","sequence":"first","affiliation":[]},{"given":"M. Gloria","family":"Fiestras-Janeiro","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"5088606_CR1","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/s001820100071","volume":"30","author":"J. Albizuri","year":"2001","unstructured":"J. Albizuri, An axiomatization of the modified Banzhaf-Coleman index, International Journal of Game Theory 30 (2001) 167-176.","journal-title":"International Journal of Game Theory"},{"key":"5088606_CR2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0165-4896(01)00076-2","volume":"43","author":"R. Amer","year":"2002","unstructured":"R. Amer, F. Carreras and J.M. Gim\u00e9nez, The modified Banzhaf value for games with a coalition structure: an axiomatic characterization, Mathematical Social Sciences 43 (2002) 45-54.","journal-title":"Mathematical Social Sciences"},{"key":"5088606_CR3","first-page":"317","volume":"19","author":"J.F. Banzhaf III","year":"1965","unstructured":"J.F. Banzhaf III, Weighted voting does not work: A mathematical analysis, Rutgers Law Review 19 (1965) 317-343.","journal-title":"Rutgers Law Review"},{"key":"5088606_CR4","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/BF01780630","volume":"4","author":"P. Dubey","year":"1975","unstructured":"P. Dubey, On the uniqueness of the Shapley value, International Journal of Game Theory 4 (1975) 131-139.","journal-title":"International Journal of Game Theory"},{"key":"5088606_CR5","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1287\/moor.4.2.99","volume":"4","author":"P. Dubey","year":"1979","unstructured":"P. Dubey and L.S. Shapley, Mathematical properties of the Banzhaf power index, Mathematics of Operations Research 4 (1979) 99-131.","journal-title":"Mathematics of Operations Research"},{"key":"5088606_CR6","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/BF01240041","volume":"24","author":"V. Feltkamp","year":"1995","unstructured":"V. Feltkamp, Alternative axiomatic characterization of the Shapley and Banzhaf values, International Journal of Game Theory 24 (1995) 179-186.","journal-title":"International Journal of Game Theory"},{"key":"5088606_CR7","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF01254541","volume":"17","author":"E. Lehrer","year":"1988","unstructured":"E. Lehrer, An axiomatization of the Banzhaf value, International Journal of Game Theory 17 (1988) 89-99.","journal-title":"International Journal of Game Theory"},{"key":"5088606_CR8","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01262517","volume":"26","author":"A.S. Nowak","year":"1997","unstructured":"A.S. Nowak, On an axiomatization of the Banzhaf value without the additivity axiom, International Journal of Game Theory 26 (1997) 137-141.","journal-title":"International Journal of Game Theory"},{"key":"5088606_CR9","doi-asserted-by":"crossref","unstructured":"G. Owen, Multilinear extensions and the Banzhaf value, Naval Research Logistic Quarterly (1975) 741-750.","DOI":"10.1002\/nav.3800220409"},{"key":"5088606_CR10","doi-asserted-by":"crossref","unstructured":"G. Owen, Values of games with a priori unions, in: Mathematical Economics and Game Theory, eds. R. Henn and O. Moeschlin (Springer, 1977) pp. 76-88.","DOI":"10.1007\/978-3-642-45494-3_7"},{"key":"5088606_CR11","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1137\/0135026","volume":"35","author":"G. Owen","year":"1978","unstructured":"G. Owen, Characterization of the Banzhaf-Coleman index, SIAM Journal of Applied Mathematics 35 (1978) 315-327.","journal-title":"SIAM Journal of Applied Mathematics"},{"key":"5088606_CR12","doi-asserted-by":"crossref","unstructured":"G. Owen, Modification of the Banzhaf-Coleman index for games with a priori unions, in: Power, Voting and Voting Power, ed. M.J. Holler (Physica-Verlag, 1981) pp. 232-238.","DOI":"10.1007\/978-3-662-00411-1_17"},{"key":"5088606_CR13","unstructured":"L.S. Shapley, A value for n-person games, in: Annals of Mathematics Studies, Vol. 28, eds. A.W. Tucker and H. Kuhn (Princeton University Press, 1953) pp. 307-317."},{"key":"5088606_CR14","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1006\/game.1996.0003","volume":"12","author":"M. V\u00e1zquez Brage","year":"1996","unstructured":"M. V\u00e1zquez Brage, I. Garc\u00eda-Jurado and F. Carreras, The Owen value applied to games with graphrestricted communication, Games and Economic Behavior 12 (1996) 45-53.","journal-title":"Games and Economic Behavior"},{"key":"5088606_CR15","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/S0165-4896(97)00018-8","volume":"34","author":"M. V\u00e1zquez Brage","year":"1997","unstructured":"M. V\u00e1zquez Brage, A. van den Nouweland and I. Garc\u00eda-Jurado, Owen's coalitional value and aircraft landing fees, Mathematical Social Sciences 34 (1997) 273-286.","journal-title":"Mathematical Social Sciences"},{"key":"5088606_CR16","unstructured":"M. V\u00e1zquez Brage, Contribuciones a la Teor\u00eda del Valor en Juegos con Utilidad Transferible, Ph.D. dissertation, Universidad de Santiago de Compostela (1998)."},{"key":"5088606_CR17","doi-asserted-by":"crossref","unstructured":"R.J. Weber, Probabilistic values, in: The Shapley Value, ed. A. Roth (Cambrigde University Press, 1988) pp. 101-119.","DOI":"10.1017\/CBO9780511528446.008"},{"key":"5088606_CR18","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/0899-8256(92)90009-H","volume":"4","author":"E. Winter","year":"1992","unstructured":"E. Winter, The consistency and potential for values of games with coalition structure, Games and Economic Behavior 4 (1992) 132-144.","journal-title":"Games and Economic Behavior"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1016356303622.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1016356303622\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1016356303622.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,18]],"date-time":"2025-05-18T14:22:40Z","timestamp":1747578160000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1016356303622"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":18,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["5088606"],"URL":"https:\/\/doi.org\/10.1023\/a:1016356303622","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"type":"print","value":"0254-5330"},{"type":"electronic","value":"1572-9338"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}