{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:16:20Z","timestamp":1759940180004,"version":"3.41.0"},"reference-count":87,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[2019,1,25]],"date-time":"2019-01-25T00:00:00Z","timestamp":1548374400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/501100009193","name":"Marsden Fund","doi-asserted-by":"publisher","award":["UOA-254"],"award-info":[{"award-number":["UOA-254"]}],"id":[{"id":"10.13039\/501100009193","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005156","name":"Alexander von Humboldt-Stiftung","doi-asserted-by":"crossref","award":["Fellowship for Postdoctoral Researchers"],"award-info":[{"award-number":["Fellowship for Postdoctoral Researchers"]}],"id":[{"id":"10.13039\/100005156","id-type":"DOI","asserted-by":"crossref"}]},{"name":"I-CORE ALGO","award":["Postdoctoral Fellowship"],"award-info":[{"award-number":["Postdoctoral Fellowship"]}]},{"DOI":"10.13039\/501100004281","name":"Narodowe Centrum Nauki","doi-asserted-by":"publisher","award":["2016\/21\/B\/ST6\/01509"],"award-info":[{"award-number":["2016\/21\/B\/ST6\/01509"]}],"id":[{"id":"10.13039\/501100004281","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001870","name":"Fundacja na rzecz Nauki Polskiej","doi-asserted-by":"publisher","award":["Homing programme (Project title: Normative Comparison of Multiwinner Election Rules)"],"award-info":[{"award-number":["Homing programme (Project title: Normative Comparison of Multiwinner Election Rules)"]}],"id":[{"id":"10.13039\/501100001870","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Econ. Comput."],"published-print":{"date-parts":[[2019,2,28]]},"abstract":"<jats:p>\n            Committee scoring voting rules are multiwinner analogues of positional scoring rules, which constitute an important subclass of single-winner voting rules. We identify several natural subclasses of committee scoring rules, namely, weakly separable, representation-focused, top-\n            <jats:italic>k<\/jats:italic>\n            -counting, OWA-based, and decomposable rules. We characterize SNTV, Bloc, and\n            <jats:italic>k<\/jats:italic>\n            -Approval Chamberlin--Courant as the only nontrivial rules in pairwise intersections of these classes. We provide some axiomatic characterizations for these classes, where monotonicity properties appear to be especially useful. The class of decomposable rules is new to the literature. We show that it strictly contains the class of OWA-based rules and describe some of the applications of decomposable rules.\n          <\/jats:p>","DOI":"10.1145\/3296672","type":"journal-article","created":{"date-parts":[[2019,1,28]],"date-time":"2019-01-28T14:01:39Z","timestamp":1548684099000},"page":"1-39","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":16,"title":["Committee Scoring Rules"],"prefix":"10.1145","volume":"7","author":[{"given":"Piotr","family":"Faliszewski","sequence":"first","affiliation":[{"name":"AGH University, Krakow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Piotr","family":"Skowron","sequence":"additional","affiliation":[{"name":"University of Warsaw, Warszawa, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arkadii","family":"Slinko","sequence":"additional","affiliation":[{"name":"University of Auckland, Auckland, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nimrod","family":"Talmon","sequence":"additional","affiliation":[{"name":"Ben-Gurion University, Be'er Sheva, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2019,1,25]]},"reference":[{"volume-title":"Social Choice and Individual Values","author":"Arrow K.","key":"e_1_2_1_1_1","unstructured":"K. Arrow . 1951 (revised edition, 1963). Social Choice and Individual Values . John Wiley and Sons . K. Arrow. 1951 (revised edition, 1963). Social Choice and Individual Values. John Wiley and Sons."},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-016-1019-3"},{"volume-title":"Proceedings of the 26th International Joint Conference on Artificial Intelligence. 84--90","author":"Aziz H.","key":"e_1_2_1_3_1","unstructured":"H. Aziz , E. Elkind , P. Faliszewski , M. Lackner , and P. Skowron . 2017. The Condorcet principle for multiwinner elections: From shortlisting to proportionality . In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 84--90 . H. Aziz, E. Elkind, P. Faliszewski, M. Lackner, and P. Skowron. 2017. The Condorcet principle for multiwinner elections: From shortlisting to proportionality. In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 84--90."},{"volume-title":"Proceedings of the 32nd AAAI Conference on Artificial Intelligence.","author":"Aziz H.","key":"e_1_2_1_4_1","unstructured":"H. Aziz , E. Elkind , S. Huang , M. Lackner , L. Sanchez-Fernandez , and P. Skowron . 2018. On the complexity of extended and proportional justified representation . In Proceedings of the 32nd AAAI Conference on Artificial Intelligence. H. Aziz, E. Elkind, S. Huang, M. Lackner, L. Sanchez-Fernandez, and P. Skowron. 2018. On the complexity of extended and proportional justified representation. In Proceedings of the 32nd AAAI Conference on Artificial Intelligence."},{"volume-title":"Proceedings of the 14th International Conference on Autonomous Agents and Multiagent Systems. 107--115","author":"Aziz H.","key":"e_1_2_1_5_1","unstructured":"H. Aziz , S. Gaspers , J. Gudmundsson , S. Mackenzie , N. Mattei , and T. Walsh . 2015. Computational aspects of multi-winner approval voting . In Proceedings of the 14th International Conference on Autonomous Agents and Multiagent Systems. 107--115 . H. Aziz, S. Gaspers, J. Gudmundsson, S. Mackenzie, N. Mattei, and T. Walsh. 2015. Computational aspects of multi-winner approval voting. In Proceedings of the 14th International Conference on Autonomous Agents and Multiagent Systems. 107--115."},{"key":"e_1_2_1_6_1","volume-title":"Fair Representation: Meeting the Ideal of One Man, One Vote","author":"Balinski M.","year":"2001","unstructured":"M. Balinski and H. P. Young . 1982 . Fair Representation: Meeting the Ideal of One Man, One Vote . Yale University Press. &lsqb;2nd Edition (with identical pagination), Brookings Institution Press , 2001 &rsqb;. M. Balinski and H. P. Young. 1982. Fair Representation: Meeting the Ideal of One Man, One Vote. Yale University Press. &lsqb;2nd Edition (with identical pagination), Brookings Institution Press, 2001&rsqb;."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-007-0268-6"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4068(82)90005-2"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.5555\/2566972.2566985"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11127-007-9165-x"},{"volume-title":"Proceedings of the 32nd AAAI Conference on Artificial Intelligence.","author":"Bredereck R.","key":"e_1_2_1_11_1","unstructured":"R. Bredereck , P. Faliszewski , A. Igarashi , M. Lackner , and P. Skowron . 2018. Multiwinner elections with diversity constraints . In Proceedings of the 32nd AAAI Conference on Artificial Intelligence. R. Bredereck, P. Faliszewski, A. Igarashi, M. Lackner, and P. Skowron. 2018. Multiwinner elections with diversity constraints. In Proceedings of the 32nd AAAI Conference on Artificial Intelligence."},{"volume-title":"Proceedings of the 10th International Symposium on Algorithmic Game Theory. 80--92","author":"Bredereck R.","key":"e_1_2_1_12_1","unstructured":"R. Bredereck , P. Faliszewski , A. Kaczmarczyk , R. Niedermeier , P. Skowron , and N. Talmon . 2017. Robustness among multiwinner voting rules . In Proceedings of the 10th International Symposium on Algorithmic Game Theory. 80--92 . R. Bredereck, P. Faliszewski, A. Kaczmarczyk, R. Niedermeier, P. Skowron, and N. Talmon. 2017. Robustness among multiwinner voting rules. In Proceedings of the 10th International Symposium on Algorithmic Game Theory. 80--92."},{"key":"e_1_2_1_13_1","volume-title":"Proceedings of the 31st AAAI Conference on Artificial Intelligence. 406--413","author":"Brill Markus","year":"2017","unstructured":"Markus Brill , Rupert Freeman , Svante Janson , and Martin Lackner . 2017 . Phragm\u00e9n\u2019s voting methods and justified representation . In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 406--413 . Markus Brill, Rupert Freeman, Svante Janson, and Martin Lackner. 2017. Phragm\u00e9n\u2019s voting methods and justified representation. In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 406--413."},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1177\/0951629818775518"},{"volume-title":"Proceedings of the 45th International Colloquium on Automata, Languages, and Programming. 26:1--26:14","author":"Byrka J.","key":"e_1_2_1_15_1","unstructured":"J. Byrka , P. Skowron , and K. Sornat . 2018. Proportional approval voting, harmonic k-median, and negative association . In Proceedings of the 45th International Colloquium on Automata, Languages, and Programming. 26:1--26:14 . J. Byrka, P. Skowron, and K. Sornat. 2018. Proportional approval voting, harmonic k-median, and negative association. In Proceedings of the 45th International Colloquium on Automata, Languages, and Programming. 26:1--26:14."},{"volume-title":"Proceedings of the 27th International Joint Conference on Artificial Intelligence. 144--151","author":"Celis L.","key":"e_1_2_1_16_1","unstructured":"L. Celis , L. Huang , and N. Vishnoi . 2018. Multiwinner voting with fairness constraints . In Proceedings of the 27th International Joint Conference on Artificial Intelligence. 144--151 . L. Celis, L. Huang, and N. Vishnoi. 2018. Multiwinner voting with fairness constraints. In Proceedings of the 27th International Joint Conference on Artificial Intelligence. 144--151."},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.2307\/1957270"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018928301345"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1006\/jeth.1996.0119"},{"volume-title":"Proceedings of the 20th European Conference on Artificial Intelligence. 270--275","author":"Cornaz D.","key":"e_1_2_1_20_1","unstructured":"D. Cornaz , L. Galand , and O. Spanjaard . 2012. Bounded single-peaked width and proportional representation . In Proceedings of the 20th European Conference on Artificial Intelligence. 270--275 . D. Cornaz, L. Galand, and O. Spanjaard. 2012. Bounded single-peaked width and proportional representation. In Proceedings of the 20th European Conference on Artificial Intelligence. 270--275."},{"key":"e_1_2_1_21_1","first-page":"282","article-title":"How hard is it to tell which is a Condorcet committee?Math","volume":"66","author":"Darmann A.","year":"2013","unstructured":"A. Darmann . 2013 . How hard is it to tell which is a Condorcet committee?Math . Soc. Sci. 66 , 3 (2013), 282 -- 292 . A. Darmann. 2013. How hard is it to tell which is a Condorcet committee?Math. Soc. Sci. 66, 3 (2013), 282--292.","journal-title":"Soc. Sci."},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00182574"},{"volume-title":"Voting Procedures","author":"Dummett M.","key":"e_1_2_1_23_1","unstructured":"M. Dummett . 1984. Voting Procedures . Oxford University Press . M. Dummett. 1984. Voting Procedures. Oxford University Press."},{"volume-title":"Proceedings of the 31st AAAI Conference on Artificial Intelligence. 494--501","author":"Elkind E.","key":"e_1_2_1_24_1","unstructured":"E. Elkind , P. Faliszewski , J. F. Laslier , P. Skowron , A. Slinko , and N. Talmon . 2017. What do multiwinner voting rules do? An experiment over the two-dimensional Euclidean domain . In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 494--501 . E. Elkind, P. Faliszewski, J. F. Laslier, P. Skowron, A. Slinko, and N. Talmon. 2017. What do multiwinner voting rules do? An experiment over the two-dimensional Euclidean domain. In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 494--501."},{"key":"e_1_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-017-1026-z"},{"key":"e_1_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-23114-3_29"},{"key":"e_1_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-014-0853-4"},{"volume-title":"Proceedings of the 32nd AAAI Conference on Artificial Intelligence.","author":"Faliszewski P.","key":"e_1_2_1_28_1","unstructured":"P. Faliszewski , M. Lackner , D. Peters , and N. Talmon . 2018. Effective heuristics for committee scoring rules . In Proceedings of the 32nd AAAI Conference on Artificial Intelligence. P. Faliszewski, M. Lackner, D. Peters, and N. Talmon. 2018. Effective heuristics for committee scoring rules. In Proceedings of the 32nd AAAI Conference on Artificial Intelligence."},{"key":"e_1_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1109\/MIS.2017.5"},{"volume-title":"Proceedings of the 26th International Joint Conference on Artificial Intelligence. 192--198","author":"Faliszewski P.","key":"e_1_2_1_30_1","unstructured":"P. Faliszewski , P. Skowron , A. Slinko , and N. Talmon . 2017. Multiwinner rules on paths from k-Borda to Chamberlin--Courant . In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 192--198 . P. Faliszewski, P. Skowron, A. Slinko, and N. Talmon. 2017. Multiwinner rules on paths from k-Borda to Chamberlin--Courant. In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 192--198."},{"key":"e_1_2_1_31_1","unstructured":"P. Faliszewski P. Skowron A. Slinko and N. Talmon. 2017. Multiwinner voting: A new challenge for social choice theory. In Trends in Computational Social Choice U. Endriss (Ed.). AI Access 27--47.  P. Faliszewski P. Skowron A. Slinko and N. Talmon. 2017. Multiwinner voting: A new challenge for social choice theory. In Trends in Computational Social Choice U. Endriss (Ed.). AI Access 27--47."},{"key":"e_1_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-018-1126-4"},{"key":"e_1_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10732-018-9376-y"},{"key":"e_1_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1002\/bs.3830370203"},{"key":"e_1_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(78)90062-5"},{"key":"e_1_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1137\/0141041"},{"key":"e_1_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(81)90005-3"},{"key":"e_1_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01718459"},{"key":"e_1_2_1_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00133396"},{"key":"e_1_2_1_40_1","doi-asserted-by":"publisher","DOI":"10.1016\/0165-4896(85)90043-5"},{"volume-title":"Proceedings of the 28th AAAI Conference on Artificial Intelligence. AAAI Press, 698--704","author":"Goldsmith J.","key":"e_1_2_1_41_1","unstructured":"J. Goldsmith , J. Lang , N. Mattei , and P. Perny . 2014. Voting with rank dependent scoring rules . In Proceedings of the 28th AAAI Conference on Artificial Intelligence. AAAI Press, 698--704 . J. Goldsmith, J. Lang, N. Mattei, and P. Perny. 2014. Voting with rank dependent scoring rules. In Proceedings of the 28th AAAI Conference on Artificial Intelligence. AAAI Press, 698--704."},{"key":"e_1_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(76)90014-4"},{"volume-title":"Proceedings of the 32st AAAI Conference on Artificial Intelligence.","author":"Izsak R.","key":"e_1_2_1_43_1","unstructured":"R. Izsak , G. Woeginger , and N. Talmon . 2018. Committee selection with interclass and intraclass synergies . In Proceedings of the 32st AAAI Conference on Artificial Intelligence. R. Izsak, G. Woeginger, and N. Talmon. 2018. Committee selection with interclass and intraclass synergies. In Proceedings of the 32st AAAI Conference on Artificial Intelligence."},{"key":"e_1_2_1_45_1","doi-asserted-by":"crossref","unstructured":"J. Kacprzyk H. Nurmi and S. Zadrozny. 2011. The role of the OWA operators as a unification tool for the representation of collective choice sets. In Recent Developments in the Ordered Weighted Averaging Operators. Springer 149--166.  J. Kacprzyk H. Nurmi and S. Zadrozny. 2011. The role of the OWA operators as a unification tool for the representation of collective choice sets. In Recent Developments in the Ordered Weighted Averaging Operators. Springer 149--166.","DOI":"10.1007\/978-3-642-17910-5_8"},{"volume-title":"Handbook on Approval Voting, J.-F","author":"Kilgour M.","key":"e_1_2_1_46_1","unstructured":"M. Kilgour . 2010. Approval balloting for multi-winner elections . In Handbook on Approval Voting, J.-F . Laslier and R. Sanver (Eds.). Springer , 105--124. M. Kilgour. 2010. Approval balloting for multi-winner elections. In Handbook on Approval Voting, J.-F. Laslier and R. Sanver (Eds.). Springer, 105--124."},{"key":"e_1_2_1_47_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20441-8_12"},{"volume-title":"Proceedings of the 31st AAAI Conference on Artificial Intelligence. 649--655","author":"Lackner M.","key":"e_1_2_1_48_1","unstructured":"M. Lackner and D. Peters . 2017. Preferences single-peaked on a circle . In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 649--655 . M. Lackner and D. Peters. 2017. Preferences single-peaked on a circle. In Proceedings of the 31st AAAI Conference on Artificial Intelligence. 649--655."},{"key":"e_1_2_1_49_1","doi-asserted-by":"publisher","DOI":"10.1145\/3219166.3219170"},{"key":"e_1_2_1_50_1","volume-title":"Electoral System: Issues and Alternatives","author":"Lijphart A.","year":"1984","unstructured":"A. Lijphart and B. Grofman . 1984 . Choosing an Electoral System: Issues and Alternatives . Praeger , New York . A. Lijphart and B. Grofman. 1984. Choosing an Electoral System: Issues and Alternatives. Praeger, New York."},{"volume-title":"Proceedings of the 22nd International Joint Conference on Artificial Intelligence. 280--286","author":"Lu T.","key":"e_1_2_1_51_1","unstructured":"T. Lu and C. Boutilier . 2011. Budgeted social choice: From consensus to personalized decision making . In Proceedings of the 22nd International Joint Conference on Artificial Intelligence. 280--286 . T. Lu and C. Boutilier. 2011. Budgeted social choice: From consensus to personalized decision making. In Proceedings of the 22nd International Joint Conference on Artificial Intelligence. 280--286."},{"volume-title":"Proceedings of the 29th AAAI Conference on Artificial Intelligence. 1182--1190","author":"Lu T.","key":"e_1_2_1_52_1","unstructured":"T. Lu and C. Boutilier . 2015. Value-directed compression of large-scale assignment problems . In Proceedings of the 29th AAAI Conference on Artificial Intelligence. 1182--1190 . T. Lu and C. Boutilier. 2015. Value-directed compression of large-scale assignment problems. In Proceedings of the 29th AAAI Conference on Artificial Intelligence. 1182--1190."},{"key":"e_1_2_1_53_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-937X.00076"},{"key":"e_1_2_1_54_1","doi-asserted-by":"publisher","DOI":"10.2307\/1907651"},{"key":"e_1_2_1_55_1","first-page":"87","article-title":"The axiomatic characterization of majority voting and scoring rules","volume":"41","author":"Merlin V.","year":"2003","unstructured":"V. Merlin . 2003 . The axiomatic characterization of majority voting and scoring rules . Math. Soc. Sci. 41 , 161 (2003), 87 -- 109 . V. Merlin. 2003. The axiomatic characterization of majority voting and scoring rules. Math. Soc. Sci. 41, 161 (2003), 87--109.","journal-title":"Math. Soc. Sci."},{"key":"e_1_2_1_56_1","doi-asserted-by":"publisher","DOI":"10.2307\/2082518"},{"key":"e_1_2_1_57_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00182193"},{"key":"e_1_2_1_58_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01588971"},{"key":"e_1_2_1_59_1","volume-title":"Proceedings of the 32nd AAAI Conference on Artificial Intelligence.","author":"Peters D.","year":"2018","unstructured":"D. Peters . 2018 . Single-peakedness and total unimodularity: New polynomial-time algorithms for multi-winner elections . In Proceedings of the 32nd AAAI Conference on Artificial Intelligence. D. Peters. 2018. Single-peakedness and total unimodularity: New polynomial-time algorithms for multi-winner elections. In Proceedings of the 32nd AAAI Conference on Artificial Intelligence."},{"volume-title":"Proceedings of the 30th AAAI Conference on Artificial Intelligence. 594--600","author":"Peters D.","key":"e_1_2_1_60_1","unstructured":"D. Peters and E. Elkind . 2016. Preferences single-peaked on nice trees . In Proceedings of the 30th AAAI Conference on Artificial Intelligence. 594--600 . D. Peters and E. Elkind. 2016. Preferences single-peaked on nice trees. In Proceedings of the 30th AAAI Conference on Artificial Intelligence. 594--600."},{"key":"e_1_2_1_61_1","volume-title":"Sur une m\u00e9thode nouvelle pour r\u00e9aliser, dans les \u00e9lections, la repr\u00e9sentation proportionnelle des partis. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 51, 3","author":"Phragm\u00e9n E.","year":"1894","unstructured":"E. Phragm\u00e9n . 1894. Sur une m\u00e9thode nouvelle pour r\u00e9aliser, dans les \u00e9lections, la repr\u00e9sentation proportionnelle des partis. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 51, 3 ( 1894 ), 133--137. E. Phragm\u00e9n. 1894. Sur une m\u00e9thode nouvelle pour r\u00e9aliser, dans les \u00e9lections, la repr\u00e9sentation proportionnelle des partis. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 51, 3 (1894), 133--137."},{"volume-title":"Proportionella val. En valteknisk studie. Lars H\u00f6kersbergs f\u00f6rlag","author":"Phragm\u00e9n E.","key":"e_1_2_1_62_1","unstructured":"E. Phragm\u00e9n . 1895. Proportionella val. En valteknisk studie. Lars H\u00f6kersbergs f\u00f6rlag , Stockholm . E. Phragm\u00e9n. 1895. Proportionella val. En valteknisk studie. Lars H\u00f6kersbergs f\u00f6rlag, Stockholm."},{"key":"e_1_2_1_63_1","volume-title":"Sur la th\u00e9orie des \u00e9lections multiples. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 53","author":"Phragm\u00e9n E.","year":"1896","unstructured":"E. Phragm\u00e9n . 1896. Sur la th\u00e9orie des \u00e9lections multiples. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 53 ( 1896 ), 181--191. E. Phragm\u00e9n. 1896. Sur la th\u00e9orie des \u00e9lections multiples. \u00d6fversigt af Kongliga Vetenskaps-Akademiens F\u00f6rhandlingar 53 (1896), 181--191."},{"key":"e_1_2_1_64_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmateco.2013.02.001"},{"key":"e_1_2_1_65_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-007-0235-2"},{"volume-title":"Proportional Representation: Apportionment Methods and Their Applications","author":"Pukelsheim F.","key":"e_1_2_1_66_1","unstructured":"F. Pukelsheim . 2014. Proportional Representation: Apportionment Methods and Their Applications . Springer . F. Pukelsheim. 2014. Proportional Representation: Apportionment Methods and Their Applications. Springer."},{"key":"e_1_2_1_67_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-003-0209-y"},{"key":"e_1_2_1_68_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-013-0773-8"},{"key":"e_1_2_1_69_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(78)90108-4"},{"key":"e_1_2_1_70_1","unstructured":"L. S\u00e1nchez-Fern\u00e1ndez and J. Fisteus. 2017. Monotonicity Axioms in Approval-Based Multi-Winner Voting Rules. Technical Report arXiv:1710.04246 &lsqb;cs.GT&rsqb;. arXiv.org.  L. S\u00e1nchez-Fern\u00e1ndez and J. Fisteus. 2017. Monotonicity Axioms in Approval-Based Multi-Winner Voting Rules. Technical Report arXiv:1710.04246 &lsqb;cs.GT&rsqb;. arXiv.org."},{"volume-title":"Proceedings of the 16th International Conference on Autonomous Agents and Multiagent Systems. 33--41","author":"Sekar S.","key":"e_1_2_1_71_1","unstructured":"S. Sekar , S. Sikdar , and L. Xia . 2017. Condorcet consistent bundling with social choice . In Proceedings of the 16th International Conference on Autonomous Agents and Multiagent Systems. 33--41 . S. Sekar, S. Sikdar, and L. Xia. 2017. Condorcet consistent bundling with social choice. In Proceedings of the 16th International Conference on Autonomous Agents and Multiagent Systems. 33--41."},{"key":"e_1_2_1_72_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(88)90262-1"},{"key":"e_1_2_1_73_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ic.2017.10.002"},{"key":"e_1_2_1_74_1","doi-asserted-by":"publisher","DOI":"10.5555\/3207692.3207708"},{"key":"e_1_2_1_75_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.artint.2016.09.003"},{"key":"e_1_2_1_76_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.artint.2015.01.003"},{"key":"e_1_2_1_77_1","unstructured":"P. Skowron P. Faliszewski and A. Slinko. 2016. Axiomatic Characterization of Committee Scoring Rules. Technical Report arXiv:1604.01529 &lsqb;cs.GT&rsqb;. arXiv.org.  P. Skowron P. Faliszewski and A. Slinko. 2016. Axiomatic Characterization of Committee Scoring Rules. Technical Report arXiv:1604.01529 &lsqb;cs.GT&rsqb;. arXiv.org."},{"volume-title":"Proceedings of the 26th International Joint Conference on Artificial Intelligence. 409--415","author":"Skowron P.","key":"e_1_2_1_78_1","unstructured":"P. Skowron , M. Lackner , M. Brill , D. Peters , and E. Elkind . 2017. Proportional rankings . In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 409--415 . P. Skowron, M. Lackner, M. Brill, D. Peters, and E. Elkind. 2017. Proportional rankings. In Proceedings of the 26th International Joint Conference on Artificial Intelligence. 409--415."},{"key":"e_1_2_1_79_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2014.12.012"},{"key":"e_1_2_1_80_1","doi-asserted-by":"publisher","DOI":"10.2307\/1914033"},{"key":"e_1_2_1_81_1","unstructured":"T. Thiele. 1895. Om Flerfoldsvalg. In Oversigt over det Kongelige Danske Videnskabernes Selskabs Forhandlinger. 415--441.  T. Thiele. 1895. Om Flerfoldsvalg. In Oversigt over det Kongelige Danske Videnskabernes Selskabs Forhandlinger. 415--441."},{"key":"e_1_2_1_82_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1005082925477"},{"key":"e_1_2_1_83_1","doi-asserted-by":"publisher","DOI":"10.1109\/21.87068"},{"key":"e_1_2_1_84_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(74)90073-8"},{"key":"e_1_2_1_85_1","doi-asserted-by":"publisher","DOI":"10.2307\/1914222"},{"key":"e_1_2_1_86_1","doi-asserted-by":"publisher","DOI":"10.1137\/0128067"},{"volume-title":"Proceedings of the 23rd International Joint Conference on Artificial Intelligence. 425--431","author":"Yu L.","key":"e_1_2_1_87_1","unstructured":"L. Yu , H. Chan , and E. Elkind . 2013. Multiwinner elections under preferences that are single-peaked on a tree . In Proceedings of the 23rd International Joint Conference on Artificial Intelligence. 425--431 . L. Yu, H. Chan, and E. Elkind. 2013. Multiwinner elections under preferences that are single-peaked on a tree. In Proceedings of the 23rd International Joint Conference on Artificial Intelligence. 425--431."},{"key":"e_1_2_1_88_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-2151-2"}],"container-title":["ACM Transactions on Economics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3296672","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3296672","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T00:57:59Z","timestamp":1750208279000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3296672"}},"subtitle":["Axiomatic Characterization and Hierarchy"],"short-title":[],"issued":{"date-parts":[[2019,1,25]]},"references-count":87,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,2,28]]}},"alternative-id":["10.1145\/3296672"],"URL":"https:\/\/doi.org\/10.1145\/3296672","relation":{},"ISSN":["2167-8375","2167-8383"],"issn-type":[{"type":"print","value":"2167-8375"},{"type":"electronic","value":"2167-8383"}],"subject":[],"published":{"date-parts":[[2019,1,25]]},"assertion":[{"value":"2018-02-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-10-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-01-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}