{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T11:27:36Z","timestamp":1648985256891},"reference-count":121,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p> This paper presents a review of literature on simple games and highlights various open problems concerning such games; in particular, weighted games and power indices. <\/jats:p>","DOI":"10.1142\/s0219198913400057","type":"journal-article","created":{"date-parts":[[2013,4,9]],"date-time":"2013-04-09T23:05:09Z","timestamp":1365548709000},"page":"1340005","source":"Crossref","is-referenced-by-count":3,"title":["SOME OPEN PROBLEMS IN SIMPLE GAMES"],"prefix":"10.1142","volume":"15","author":[{"given":"CESARINO","family":"BERTINI","sequence":"first","affiliation":[{"name":"Department of Management, Economics and Quantitative Methods, University of Bergamo, via dei Caniana 2, 24127 Bergamo, Italy"}]},{"given":"JOSEP","family":"FREIXAS","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics III and High Engineering School, (Manresa Campus), Technical University of Catalonia, Av. de les Bases de Manresa, 71-73 Manresa, Spain"}]},{"given":"GIANFRANCO","family":"GAMBARELLI","sequence":"additional","affiliation":[{"name":"Department of Management, Economics and Quantitative Methods, University of Bergamo, via dei Caniana 2, 24127 Bergamo, Italy"}]},{"given":"IZABELLA","family":"STACH","sequence":"additional","affiliation":[{"name":"AGH University of Science and Technology, Faculty of Management ul. Gramatyka 10, 30-067 Krakow, Poland"}]}],"member":"219","published-online":{"date-parts":[[2013,6,9]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-4896(02)00086-0"},{"key":"rf2","author":"Albizuri M. J.","year":"2012","journal-title":"Soc. Choice and Welfare"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.geb.2004.01.001"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-009-0402-8"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-005-2242-y"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2008.09.016"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s11135-009-9306-z"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-010-0451-z"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.04.019"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574806"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01243154"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1287\/moor.22.4.955"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-6221-1_10"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02576905"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1287\/moor.6.1.1"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01766876"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1613\/jair.3166"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1287\/moor.14.4.700"},{"key":"rf19","volume-title":"Fair Representation: Meeting the Ideal of One Man, One Vote","author":"Balinski M. L.","year":"1982"},{"key":"rf20","first-page":"317","volume":"19","author":"Banzhaf J. F.","year":"1965","journal-title":"Rutgers Law Rev."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/s10458-009-9078-9"},{"key":"rf22","first-page":"1","volume":"15","author":"Bertini C.","year":"2013","journal-title":"Open Problems in the Theory of Cooperative Games \u2014 A Special Issue of Int. Game Theor. Rev."},{"key":"rf23","unstructured":"C.\u00a0Bertini and I.\u00a0Stach, Encyclopedia of Power, ed. K.\u00a0Dowding (SAGE Publications, Los Angeles, 2011)\u00a0pp. 699\u2013700."},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1007\/BF02628555"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(01)00334-4"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.07.007"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1007\/BF00141101"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2003.09.003"},{"key":"rf30","unstructured":"R.\u00a0Branzei, D.\u00a0Dimitrov and S.\u00a0Tijs, Models in cooperative game theory: Crisp, fuzzy, and multi-choice games (Springer-Verlag, Berlin Heidelberg, 2005)\u00a0p. 135."},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/0165-4896(96)00815-3"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016320723186"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2004.03.004"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(02)00453-8"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1016\/0165-4896(94)90004-3"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1016\/0165-4896(88)90032-7"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00044-6"},{"key":"rf39","unstructured":"J. S.\u00a0Coleman, Social Choice, ed. B.\u00a0Lieberman (Gordon and Breach, New York, USA, 1971)\u00a0pp. 269\u2013300."},{"key":"rf40","first-page":"1","volume":"15","author":"Crama Y.","year":"2013","journal-title":"Open Problems in the Applications of Cooperative Games \u2014 A Special Issue of Int. Game Theor. Rev."},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1007\/BF01753239"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1287\/moor.19.2.257"},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1007\/BF01240150"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1287\/moor.4.2.99"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1287\/moor.6.1.122"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1007\/BF01263275"},{"key":"rf51","doi-asserted-by":"publisher","DOI":"10.4337\/9781840647761"},{"key":"rf52","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-005-0015-9"},{"key":"rf53","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-005-2244-9"},{"key":"rf54","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2003.10.006"},{"key":"rf55","doi-asserted-by":"publisher","DOI":"10.1007\/s00182-009-0179-0"},{"key":"rf56","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2012.01.005"},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2007.912573"},{"key":"rf58","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-008-0422-2"},{"key":"rf59","doi-asserted-by":"publisher","DOI":"10.1080\/10556780903057333"},{"key":"rf60","doi-asserted-by":"publisher","DOI":"10.1007\/s11238-008-9108-0"},{"key":"rf61","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016368606348"},{"key":"rf62","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-003-0212-3"},{"key":"rf63","doi-asserted-by":"publisher","DOI":"10.1016\/j.geb.2008.09.035"},{"key":"rf64","doi-asserted-by":"publisher","DOI":"10.1007\/BF01769093"},{"key":"rf65","doi-asserted-by":"publisher","DOI":"10.1080\/02331939008843569"},{"key":"rf67","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51730-3_13"},{"key":"rf68","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008675107505"},{"key":"rf70","unstructured":"G.\u00a0Gambarelli and N. R.\u00a0Miller, Encyclopedia of Power, ed. K.\u00a0Dowding (SAGE Publications, Los Angeles, 2011)\u00a0pp. 607\u2013608."},{"key":"rf71","doi-asserted-by":"publisher","DOI":"10.1007\/BF01242945"},{"key":"rf72","first-page":"335","volume":"24","author":"Gambarelli G.","year":"2007","journal-title":"Power Measures IV \u2014 A Special Issue of Homo Oeconomicus"},{"key":"rf73","doi-asserted-by":"publisher","DOI":"10.1007\/s11238-004-5646-2"},{"key":"rf74","first-page":"417","volume":"26","author":"Gambarelli G.","year":"2009","journal-title":"Essays in Honor of Hannu Nurmi, Homo Oeconomicus"},{"key":"rf75","doi-asserted-by":"publisher","DOI":"10.1007\/s10100-009-0102-6"},{"key":"rf76","doi-asserted-by":"publisher","DOI":"10.1007\/BF01253782"},{"key":"rf77","author":"Gvozdeva T.","year":"2011","journal-title":"Int. J. Game Theor."},{"key":"rf78","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2010.09.001"},{"key":"rf80","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9248.1982.tb00537.x"},{"key":"rf81","doi-asserted-by":"publisher","DOI":"10.2307\/2002191"},{"key":"rf82","doi-asserted-by":"publisher","DOI":"10.1068\/a100907"},{"key":"rf83","doi-asserted-by":"publisher","DOI":"10.1007\/BF01756292"},{"key":"rf84","doi-asserted-by":"publisher","DOI":"10.1109\/91.811230"},{"key":"rf85","doi-asserted-by":"publisher","DOI":"10.1007\/BF01415753"},{"key":"rf86","doi-asserted-by":"publisher","DOI":"10.1177\/0951692898010001006"},{"key":"rf87","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-012-1108-3"},{"key":"rf89","author":"Kurz S.","year":"2013","journal-title":"Ann. Oper. Res."},{"key":"rf90","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-003-0298-7"},{"key":"rf91","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511493553"},{"key":"rf93","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.49.6.831.16024"},{"key":"rf94","unstructured":"D.\u00a0Leech, Encyclopedia of Power, ed. K.\u00a0Dowding (SAGE Publications, Los Angeles, 2011)\u00a0pp. 129\u2013133."},{"key":"rf95","doi-asserted-by":"publisher","DOI":"10.1016\/0899-8256(89)90011-0"},{"key":"rf96","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2008.02.034"},{"key":"rf97","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2009.02.020"},{"key":"rf98","doi-asserted-by":"publisher","DOI":"10.1007\/s00182-010-0263-5"},{"key":"rf99","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00509-2"},{"key":"rf100","doi-asserted-by":"publisher","DOI":"10.1007\/s11238-004-5640-8"},{"key":"rf103","volume-title":"Fuzzy Cooperative Games: Cooperation with Vague Expectations","author":"Mare\u0161 M.","year":"2010"},{"key":"rf104","doi-asserted-by":"publisher","DOI":"10.1016\/S0453-4514(00)88752-9"},{"key":"rf105","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(00)00251-6"},{"key":"rf106","doi-asserted-by":"publisher","DOI":"10.1007\/BF01240273"},{"key":"rf108","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2.3.225"},{"key":"rf109","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.18.5.64"},{"key":"rf110","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800220409"},{"key":"rf111","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-45494-3_7"},{"key":"rf112","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-00411-1_17"},{"key":"rf113","doi-asserted-by":"publisher","DOI":"10.1137\/0607025"},{"key":"rf114","volume-title":"Game Theory","author":"Owen G.","year":"1995"},{"key":"rf115","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1215\/ijm\/1256055199","volume":"10","author":"Peleg B.","year":"1966","journal-title":"Illinois J. Math."},{"key":"rf116","doi-asserted-by":"publisher","DOI":"10.1137\/0116042"},{"key":"rf117","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-09664-2_5"},{"key":"rf118","doi-asserted-by":"publisher","DOI":"10.2307\/2981392"},{"key":"rf119","doi-asserted-by":"publisher","DOI":"10.1007\/BF01753703"},{"key":"rf120","doi-asserted-by":"publisher","DOI":"10.2307\/1954283"},{"key":"rf121","doi-asserted-by":"publisher","DOI":"10.1007\/BF00292733"},{"key":"rf122","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(77)90022-9"},{"key":"rf123","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2008.05.005"},{"key":"rf124","doi-asserted-by":"publisher","DOI":"10.1006\/game.2000.0819"},{"key":"rf125","doi-asserted-by":"crossref","unstructured":"L. S.\u00a0Shapley, Contributions to the Theory of Games II, eds. A. W.\u00a0Tucker and H. W.\u00a0Kuhn (Princeton University Press, Princeton, USA, 1953)\u00a0pp. 307\u2013317.","DOI":"10.1515\/9781400881970-018"},{"key":"rf126","doi-asserted-by":"publisher","DOI":"10.1002\/bs.3830070104"},{"key":"rf127","doi-asserted-by":"publisher","DOI":"10.2307\/1951053"},{"key":"rf128","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2512-6"},{"key":"rf129","doi-asserted-by":"publisher","DOI":"10.1006\/game.1993.1009"},{"key":"rf130","volume-title":"Simple Games: Desirability Relations, Trading, and Pseudoweightings","author":"Taylor A. D.","year":"1999"},{"key":"rf131","doi-asserted-by":"publisher","DOI":"10.1016\/j.geb.2007.10.014"},{"key":"rf132","doi-asserted-by":"publisher","DOI":"10.1007\/s00355-009-0403-7"},{"key":"rf134","volume-title":"Theory of Games and Economic Behavior","author":"Von Neumann J.","year":"1944"},{"key":"rf135","unstructured":"R. J.\u00a0Weber, Game Theory and Related Topics, eds. O.\u00a0Moeschlin and D.\u00a0Pallaschke (North Holland Publishing Co, Amsterdam, 1979)\u00a0pp. 129\u2013136."},{"key":"rf136","doi-asserted-by":"publisher","DOI":"10.1016\/j.artint.2011.12.003"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198913400057","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T14:21:01Z","timestamp":1565101261000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198913400057"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":121,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2013,6,9]]},"published-print":{"date-parts":[[2013,6]]}},"alternative-id":["10.1142\/S0219198913400057"],"URL":"https:\/\/doi.org\/10.1142\/s0219198913400057","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}