{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:33:22Z","timestamp":1762101202963},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,9,1]],"date-time":"2011-09-01T00:00:00Z","timestamp":1314835200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Game Theory"],"published-print":{"date-parts":[[2012,8]]},"DOI":"10.1007\/s00182-011-0298-2","type":"journal-article","created":{"date-parts":[[2011,8,31]],"date-time":"2011-08-31T11:16:39Z","timestamp":1314789399000},"page":"473-488","source":"Crossref","is-referenced-by-count":11,"title":["Gerrymander-proof representative democracies"],"prefix":"10.1007","volume":"41","author":[{"given":"Sebastian","family":"Bervoets","sequence":"first","affiliation":[]},{"given":"Vincent","family":"Merlin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,9,1]]},"reference":[{"key":"298_CR1","volume-title":"Fair representation","author":"M Balinski","year":"1982","unstructured":"Balinski M, Young P (1982) Fair representation. Yale University Press, New Haven"},{"key":"298_CR2","first-page":"304","volume":"13","author":"J Banzhaf","year":"1968","unstructured":"Banzhaf J (1968) One man, 3.312 votes: a mathematical analysis of electoral college. Villanova Law Rev 13: 304\u2013332","journal-title":"Villanova Law Rev"},{"key":"298_CR3","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1086\/501172","volume":"114","author":"S Barber\u00e0","year":"2006","unstructured":"Barber\u00e0 S, Jackson MO (2006) On the weights of nations: assigning voting weights in a heterogeneous union. J Polit Econ 114: 317\u2013339","journal-title":"J Polit Econ"},{"key":"298_CR4","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1177\/1465116505057814","volume":"6","author":"C Beisbart","year":"2005","unstructured":"Beisbart C, Bovens L, Hartmann S (2005) An utilitarian assessment of alternative decision rules in the council of ministers. Eur Union Polit 6: 395\u2013418","journal-title":"Eur Union Polit"},{"key":"298_CR5","unstructured":"Boumedienne-Thiery A, Duhamel O (2000) Le droit de vote des \u00e9trangers, une question europ\u00e9enne. Le Monde, 27 April 2000"},{"key":"298_CR6","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1016\/j.geb.2007.06.003","volume":"62","author":"C Chambers","year":"2008","unstructured":"Chambers C (2008) Consistent representative democracy. Games Econ Behav 62: 348\u2013363","journal-title":"Games Econ Behav"},{"key":"298_CR7","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/s00199-003-0375-2","volume":"23","author":"MR Feix","year":"2004","unstructured":"Feix MR, Lepelley D, Merlin VR, Rouet JL (2004) The probability of conflicts in a U.S. presidential type election. Econ Theory 23: 227\u2013257","journal-title":"Econ Theory"},{"key":"298_CR8","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/S0165-4896(98)00011-0","volume":"37","author":"DS Felsenthal","year":"1999","unstructured":"Felsenthal DS, Machover M (1999) Minimizing the mean majority deficit: the second square-root rule. Math Soc Sci 37: 25\u201337","journal-title":"Math Soc Sci"},{"key":"298_CR9","doi-asserted-by":"crossref","first-page":"1083","DOI":"10.2307\/1913856","volume":"40","author":"K Fine","year":"1972","unstructured":"Fine K (1972) Some necessary and sufficient conditions for representative decision on two alternatives. Econometrica 40: 1083\u20131090","journal-title":"Econometrica"},{"key":"298_CR10","doi-asserted-by":"crossref","first-page":"279","DOI":"10.2307\/1913345","volume":"39","author":"PC Fishburn","year":"1971","unstructured":"Fishburn PC (1971) The theory of representative majority decision. Econometrica 39: 279\u2013284","journal-title":"Econometrica"},{"key":"298_CR11","volume-title":"The theory of social choice","author":"PC Fishburn","year":"1973","unstructured":"Fishburn PC (1973) The theory of social choice. Princeton University Press, Princeton"},{"key":"298_CR12","doi-asserted-by":"crossref","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: 587\u2013601","journal-title":"Econometrica"},{"key":"298_CR13","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.mathsocsci.2006.03.004","volume":"52","author":"D Hartvigsen","year":"2006","unstructured":"Hartvigsen D (2006) Vote trading in public elections. Math Soc Sci 52: 31\u201348","journal-title":"Math Soc Sci"},{"key":"298_CR14","first-page":"504","volume-title":"Logic, game theory and social choice, proceedings of the international conference LGS99","author":"G Laffond","year":"1999","unstructured":"Laffond G, Lain\u00e9 J (1999) A general impossibility theorem on representative democracy. In: de Swart H (ed) Logic, game theory and social choice, proceedings of the international conference LGS99. Tilburg University Press, Tilburg, pp 504\u2013521"},{"key":"298_CR15","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0165-4896(99)00007-4","volume":"39","author":"G Laffond","year":"2000","unstructured":"Laffond G, Lain\u00e9 J (2000) Representation in majority tournaments. Math Soc Sci 39: 35\u201353","journal-title":"Math Soc Sci"},{"key":"298_CR16","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s00355-006-0186-z","volume":"28","author":"N Maaser","year":"2007","unstructured":"Maaser N, Napel S (2007) Equal representation in two-tier voting systems. Soc Choice Welf 28: 401\u2013402","journal-title":"Soc Choice Welf"},{"key":"298_CR17","doi-asserted-by":"crossref","first-page":"680","DOI":"10.2307\/1907651","volume":"20","author":"K May","year":"1952","unstructured":"May K (1952) A set of independent, necessary and sufficient conditions for simple majority decision. Econometrica 20: 680\u2013684","journal-title":"Econometrica"},{"key":"298_CR18","doi-asserted-by":"crossref","DOI":"10.1017\/CCOL0521360552","volume-title":"Axioms of cooperative decision making, monograph of the econometric society","author":"H Moulin","year":"1988","unstructured":"Moulin H (1988) Axioms of cooperative decision making, monograph of the econometric society. Cambridge University Press, Cambridge"},{"key":"298_CR19","doi-asserted-by":"crossref","first-page":"709","DOI":"10.2307\/1909779","volume":"34","author":"Y Murakami","year":"1966","unstructured":"Murakami Y (1966) Formal structure of majority decision. Econometrica 34: 709\u2013718","journal-title":"Econometrica"},{"key":"298_CR20","volume-title":"Logic and social choice","author":"Y Murakami","year":"1968","unstructured":"Murakami Y (1968) Logic and social choice. Dover Publications Inc, New York"},{"key":"298_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03782-9","volume-title":"Voting oaradoxes, and how to deal with them?","author":"H Nurmi","year":"1999","unstructured":"Nurmi H (1999) Voting oaradoxes, and how to deal with them?. Springer, Berlin"},{"key":"298_CR22","doi-asserted-by":"crossref","first-page":"53","DOI":"10.2307\/2981392","volume":"109","author":"LS Penrose","year":"1946","unstructured":"Penrose LS (1946) The elementary statistics of majority voting. J Roy Stat Soc 109: 53\u201357","journal-title":"J Roy Stat Soc"},{"key":"298_CR23","volume-title":"Gerrymendering proof social welfare functions","author":"J Perote Pe\u00f1a","year":"2005","unstructured":"Perote Pe\u00f1a J (2005) Gerrymendering proof social welfare functions. Universidad de Zaragoza, Mimeo"},{"key":"298_CR24","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0022-0531(75)90050-2","volume":"10","author":"M Satterthwaite","year":"1975","unstructured":"Satterthwaite M (1975) Strategy proofness and Arrow\u2019s conditions. J Econ Theory 10: 187\u2013217","journal-title":"J Econ Theory"},{"key":"298_CR25","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0022-0531(74)90073-8","volume":"9","author":"HP Young","year":"1974","unstructured":"Young HP (1974) An axiomatization of Borda\u2019s rule. J Econ Theory 9: 43\u201352","journal-title":"J Econ Theory"}],"container-title":["International Journal of Game Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-011-0298-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00182-011-0298-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-011-0298-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T18:40:49Z","timestamp":1558636849000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00182-011-0298-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,1]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,8]]}},"alternative-id":["298"],"URL":"https:\/\/doi.org\/10.1007\/s00182-011-0298-2","relation":{},"ISSN":["0020-7276","1432-1270"],"issn-type":[{"value":"0020-7276","type":"print"},{"value":"1432-1270","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9,1]]}}}