{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,14]],"date-time":"2025-06-14T08:10:05Z","timestamp":1749888605938,"version":"3.41.0"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2024,10,9]],"date-time":"2024-10-09T00:00:00Z","timestamp":1728432000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,10,9]],"date-time":"2024-10-09T00:00:00Z","timestamp":1728432000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soc Choice Welf"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1007\/s00355-024-01549-8","type":"journal-article","created":{"date-parts":[[2024,10,9]],"date-time":"2024-10-09T15:14:11Z","timestamp":1728486851000},"page":"857-878","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Freedom and voting power"],"prefix":"10.1007","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7794-1111","authenticated-orcid":false,"given":"Itai","family":"Sher","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,10,9]]},"reference":[{"key":"1549_CR1","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1007\/s00355-014-0861-4","volume":"44","author":"M \u00c1lvarez-Mozos","year":"2015","unstructured":"\u00c1lvarez-Mozos M, Tejada O (2015) The Banzhaf value in the presence of externalities. Soc Choice Welf 44:781\u2013805","journal-title":"Soc Choice Welf"},{"key":"1549_CR2","doi-asserted-by":"crossref","unstructured":"Arrow KJ (1995) A note on freedom and flexibility. In: Basu K, Pattanaik PK, Suzumura K (eds) \u2018Choice, welfare and development: a festschrift in honour of Amartya K. Oxford University Press, Sen\u2019, pp 7\u201315","DOI":"10.1093\/oso\/9780198287896.003.0002"},{"key":"1549_CR3","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/9780262015134.001.0001","volume-title":"Majority judgment: measuring, ranking, and electing","author":"M Balinski","year":"2011","unstructured":"Balinski M, Laraki R (2011) Majority judgment: measuring, ranking, and electing. MIT Press, New York"},{"key":"1549_CR4","first-page":"317","volume":"19","author":"JF Banzhaf","year":"1964","unstructured":"Banzhaf JF (1964) Weighted voting doesn\u2019t work: a mathematical analysis. Rutgers Law Rev 19:317\u2013343","journal-title":"Rutgers Law Rev"},{"issue":"8","key":"1549_CR5","doi-asserted-by":"publisher","first-page":"1309","DOI":"10.2307\/795047","volume":"75","author":"JF Banzhaf","year":"1966","unstructured":"Banzhaf JF (1966) Multi-member electoral districts-do they violate the \u201cone man, one vote\u2019\u2019 principle. Yale Law J 75(8):1309\u20131338","journal-title":"Yale Law J"},{"key":"1549_CR6","first-page":"304","volume":"13","author":"JF Banzhaf","year":"1968","unstructured":"Banzhaf JF (1968) One man, 3.312 votes: a mathematical analysis of the electoral college. Villanova Law Rev 13:304\u2013332","journal-title":"Villanova Law Rev"},{"issue":"2","key":"1549_CR7","doi-asserted-by":"publisher","first-page":"413","DOI":"10.2307\/2648754","volume":"24","author":"S Barbera","year":"1983","unstructured":"Barbera S (1983) Strategy-proofness and pivotal voters: a direct proof of the Gibbard\u2013Satterthwaite theorem. Int Econ Rev 24(2):413\u2013417","journal-title":"Int Econ Rev"},{"key":"1549_CR8","doi-asserted-by":"publisher","first-page":"893","DOI":"10.1007\/978-1-4020-7964-1_4","volume-title":"Handbook of utility theory: extensions","author":"S Barbera","year":"2004","unstructured":"Barbera S, Bossert W, Pattanaik PK (2004) Ranking sets of objects. In: Barbera S, Hammond P, Seidl C (eds) Handbook of utility theory: extensions, vol 2. Springer, New York, pp 893\u2013977"},{"issue":"4","key":"1549_CR9","doi-asserted-by":"publisher","first-page":"442","DOI":"10.1137\/0604045","volume":"4","author":"EM Bolger","year":"1983","unstructured":"Bolger EM (1983) The Banzhaf index for multicandidate presidential elections. SIAM J Algebraic Discrete Methods 4(4):442\u2013458","journal-title":"SIAM J Algebraic Discrete Methods"},{"issue":"3","key":"1549_CR10","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/BF01769257","volume":"15","author":"EM Bolger","year":"1986","unstructured":"Bolger EM (1986) Power indices for multicandidate voting games. Internat J Game Theory 15(3):175\u2013186","journal-title":"Internat J Game Theory"},{"issue":"3","key":"1549_CR11","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1017\/S0266267106001003","volume":"22","author":"M Braham","year":"2006","unstructured":"Braham M (2006) Measuring specific freedom. Econ Philos 22(3):317\u2013333","journal-title":"Econ Philos"},{"key":"1549_CR12","volume-title":"Approval voting","author":"S Brams","year":"2007","unstructured":"Brams S, Fishburn PC (2007) Approval voting. Springer, New York"},{"issue":"3","key":"1549_CR13","doi-asserted-by":"publisher","first-page":"831","DOI":"10.2307\/1955105","volume":"72","author":"SJ Brams","year":"1978","unstructured":"Brams SJ, Fishburn PC (1978) Approval voting. Am Polit Sci Rev 72(3):831\u2013847","journal-title":"Am Polit Sci Rev"},{"issue":"4","key":"1549_CR14","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1111\/1468-0262.00224","volume":"69","author":"E Dekel","year":"2001","unstructured":"Dekel E, Lipman BL, Rustichini A (2001) Representing preferences with a unique subjective state space. Econometrica 69(4):891\u2013934","journal-title":"Econometrica"},{"key":"1549_CR15","doi-asserted-by":"crossref","unstructured":"Dowding K, van Hees M (2009) Freedom of choice. In: Anand P, Pattanaik PK, Puppe C (eds) The Handbook of Rational and Social Choice: An Overview of New Foundations and Applications. Oxford University Press, pp 374\u2013392","DOI":"10.1093\/acprof:oso\/9780199290420.003.0016"},{"issue":"2","key":"1549_CR16","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1287\/moor.4.2.99","volume":"4","author":"P Dubey","year":"1979","unstructured":"Dubey P, Shapley LS (1979) Mathematical properties of the Banzhaf power index. Math Oper Res 4(2):99\u2013131","journal-title":"Math Oper Res"},{"issue":"3","key":"1549_CR17","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1007\/BF01263275","volume":"26","author":"D Felsenthal","year":"1997","unstructured":"Felsenthal D, Machover M (1997) Ternary voting games. Internat J Game Theory 26(3):335\u2013351","journal-title":"Internat J Game Theory"},{"key":"1549_CR18","doi-asserted-by":"publisher","DOI":"10.4337\/9781840647761","volume-title":"The measurement of voting power","author":"D Felsenthal","year":"1998","unstructured":"Felsenthal D, Machover M (1998) The measurement of voting power. Edward Elgar Publishing, Massachusetts"},{"key":"1549_CR19","unstructured":"Foster J (1992) Notes on effective freedom. Unpublished Manuscript"},{"issue":"3","key":"1549_CR20","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/s00355-003-0212-3","volume":"21","author":"J Freixas","year":"2003","unstructured":"Freixas J, Zwicker WS (2003) Weighted voting, abstention, and multiple levels of approval. Soc Choice Welf 21(3):399\u2013431","journal-title":"Soc Choice Welf"},{"issue":"4","key":"1549_CR21","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1017\/S0007123404000237","volume":"34","author":"A Gelman","year":"2004","unstructured":"Gelman A, Katz JN, Bafumi J (2004) Standard voting power indexes do not work: an empirical analysis. Br J Polit Sci 34(4):657\u2013674","journal-title":"Br J Polit Sci"},{"issue":"4","key":"1549_CR22","doi-asserted-by":"publisher","first-page":"587","DOI":"10.2307\/1914083","volume":"41","author":"A Gibbard","year":"1973","unstructured":"Gibbard A (1973) Manipulation of voting schemes: a general result. Econometrica 41(4):587\u2013601","journal-title":"Econometrica"},{"key":"1549_CR23","doi-asserted-by":"publisher","DOI":"10.4337\/9781783470730","volume-title":"Handbook of social choice and voting","author":"JC Heckelman","year":"2015","unstructured":"Heckelman JC, Miller NR (2015) Handbook of social choice and voting. Edward Elgar Publishing, Massachusetts"},{"key":"1549_CR24","doi-asserted-by":"publisher","DOI":"10.1093\/oxfordhb\/9780190258658.001.0001","volume-title":"The Oxford handbook of electoral systems","author":"ES Herron","year":"2018","unstructured":"Herron ES, Pekkanen RJ, Shugart MS (2018) The Oxford handbook of electoral systems. Oxford University Press, Oxford"},{"issue":"1","key":"1549_CR25","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/0144-8188(82)90013-8","volume":"2","author":"P Jones","year":"1982","unstructured":"Jones P, Sugden R (1982) Evaluating choice. Int Rev Law Econ 2(1):47\u201365","journal-title":"Int Rev Law Econ"},{"issue":"3","key":"1549_CR26","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1007\/BF00182505","volume":"10","author":"M Klemisch-Ahlert","year":"1993","unstructured":"Klemisch-Ahlert M (1993) Freedom of choice. Soc Choice Welf 10(3):189\u2013207","journal-title":"Soc Choice Welf"},{"key":"1549_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-69841-0","volume-title":"Partition function form games","author":"L K\u00f3czy","year":"2018","unstructured":"K\u00f3czy L (2018) Partition function form games. Springer, New York"},{"key":"1549_CR28","unstructured":"Koopmans TC (1964) On the flexibility of future preferences. In: Shelly MW, Bryan GL (eds) Human judgment and optimality. Wiley, Amsterdam"},{"key":"1549_CR29","doi-asserted-by":"publisher","first-page":"565","DOI":"10.2307\/1910406","volume":"47","author":"DM Kreps","year":"1979","unstructured":"Kreps DM (1979) A representation theorem for \u201cpreference for flexibility\u2019\u2019. Econometrica 47:565\u2013577","journal-title":"Econometrica"},{"issue":"1","key":"1549_CR30","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/s00355-003-0298-7","volume":"24","author":"A Laruelle","year":"2005","unstructured":"Laruelle A, Valenciano F (2005) Assessing success and decisiveness in voting situations. Soc Choice Welf 24(1):171\u2013197","journal-title":"Soc Choice Welf"},{"issue":"2","key":"1549_CR31","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1016\/0022-0531(77)90140-5","volume":"14","author":"E Muller","year":"1977","unstructured":"Muller E, Satterthwaite MA (1977) The equivalence of strong positive association and strategy-proofness. J Econ Theory 14(2):412\u2013418","journal-title":"J Econ Theory"},{"issue":"1","key":"1549_CR32","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1111\/1468-0262.00005","volume":"67","author":"K Nehring","year":"1999","unstructured":"Nehring K (1999) Preference for flexibility in a Savage framework. Econometrica 67(1):101\u2013119","journal-title":"Econometrica"},{"key":"1549_CR33","unstructured":"Nehring K, Puppe C (2008) Diversity and the metric of opportunity. Working paper"},{"issue":"3\u20134","key":"1549_CR34","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1017\/S0770451800043955","volume":"56","author":"PK Pattanaik","year":"1990","unstructured":"Pattanaik PK, Xu Y (1990) On ranking opportunity sets in terms of freedom of choice. Recherches \u00c9conomiques de Louvain\/Louvain Economic Review 56(3\u20134):383\u2013390","journal-title":"Recherches \u00c9conomiques de Louvain\/Louvain Economic Review"},{"issue":"2","key":"1549_CR35","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1023\/A:1004924211553","volume":"44","author":"PK Pattanaik","year":"1998","unstructured":"Pattanaik PK, Xu Y (1998) On preference and freedom. Theor Decis 44(2):173\u2013198","journal-title":"Theor Decis"},{"issue":"2","key":"1549_CR36","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1016\/S0165-4896(99)00043-8","volume":"40","author":"PK Pattanaik","year":"2000","unstructured":"Pattanaik PK, Xu Y (2000) On diversity and freedom of choice. Math Soc Sci 40(2):123\u2013130","journal-title":"Math Soc Sci"},{"key":"1549_CR37","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1006\/jeth.2000.2645","volume":"93","author":"PK Pattanaik","year":"2000","unstructured":"Pattanaik PK, Xu Y (2000) On ranking opportunity sets in economic environments. J Econ Theory 93:48\u201371","journal-title":"J Econ Theory"},{"key":"1549_CR38","doi-asserted-by":"crossref","unstructured":"Penrose LS (1946) The elementary statistics of majority voting. J R Stat Soc pp\u00a053\u201357","DOI":"10.2307\/2981392"},{"issue":"2","key":"1549_CR39","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/BF00179829","volume":"12","author":"C Puppe","year":"1995","unstructured":"Puppe C (1995) Freedom of choice and rational decisions. Soc Choice Welf 12(2):137\u2013153","journal-title":"Soc Choice Welf"},{"issue":"2","key":"1549_CR40","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/0022-0531(75)90050-2","volume":"10","author":"MA Satterthwaite","year":"1975","unstructured":"Satterthwaite MA (1975) Strategy-proofness and Arrow\u2019s conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10(2):187\u2013217","journal-title":"J Econ Theory"},{"issue":"1","key":"1549_CR41","first-page":"15","volume":"50","author":"A Sen","year":"1991","unstructured":"Sen A (1991) Welfare, preference and freedom. J Econ 50(1):15\u201329","journal-title":"J Econ"},{"key":"1549_CR42","doi-asserted-by":"crossref","unstructured":"Sen A (1993) Markets and freedoms: achievements and limitations of the market mechanism in promoting individual freedoms. Oxford Econ Pap pp.\u00a0519\u2013541","DOI":"10.1093\/oxfordjournals.oep.a042106"},{"issue":"3","key":"1549_CR43","doi-asserted-by":"publisher","first-page":"787","DOI":"10.2307\/1951053","volume":"48","author":"LS Shapley","year":"1954","unstructured":"Shapley LS, Shubik M (1954) A method for evaluating the distribution of power in a committee system. Am Polit Sci Rev 48(3):787\u2013792","journal-title":"Am Polit Sci Rev"},{"key":"1549_CR44","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s00355-020-01267-x","volume":"56","author":"I Sher","year":"2021","unstructured":"Sher I (2021) Neutral freedom and freedom as control. Soc Choice Welf 56:21\u201356","journal-title":"Soc Choice Welf"},{"issue":"1","key":"1549_CR45","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/BF01718820","volume":"30","author":"PD Straffin","year":"1977","unstructured":"Straffin PD (1977) Homogeneity, independence, and power indices. Public Choice 30(1):107\u2013118","journal-title":"Public Choice"},{"issue":"2","key":"1549_CR46","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1017\/S0266267100003874","volume":"14","author":"R Sugden","year":"1998","unstructured":"Sugden R (1998) The metric of opportunity. Econ Philos 14(2):307\u2013337","journal-title":"Econ Philos"},{"key":"1549_CR47","unstructured":"Weber RJ (1977) Comparison of voting systems. Cowles Foundation Discussion paper No. 498. Yale University"}],"container-title":["Social Choice and Welfare"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-024-01549-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00355-024-01549-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-024-01549-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,14]],"date-time":"2025-06-14T07:55:02Z","timestamp":1749887702000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00355-024-01549-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,9]]},"references-count":47,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["1549"],"URL":"https:\/\/doi.org\/10.1007\/s00355-024-01549-8","relation":{},"ISSN":["0176-1714","1432-217X"],"issn-type":[{"type":"print","value":"0176-1714"},{"type":"electronic","value":"1432-217X"}],"subject":[],"published":{"date-parts":[[2024,10,9]]},"assertion":[{"value":"21 May 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 August 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 October 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}