{"id":"https://openalex.org/W1967552744","doi":"https://doi.org/10.1142/s0219198906001156","title":"ON THE CHACTERISTIC NUMBERS OF VOTING GAMES","display_name":"ON THE CHACTERISTIC NUMBERS OF VOTING GAMES","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W1967552744","doi":"https://doi.org/10.1142/s0219198906001156","mag":"1967552744"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198906001156","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198906001156","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://shs.hal.science/halshs-00010172","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010757155","display_name":"Martin Mathieu","orcid":"https://orcid.org/0000-0001-9814-9740"},"institutions":[{"id":"https://openalex.org/I4210097546","display_name":"Th\u00e9orie \u00c9conomique, Mod\u00e9lisation et Applications","ror":"https://ror.org/00vctdx48","country_code":"FR","type":"facility","lineage":["https://openalex.org/I124261006","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210097546","https://openalex.org/I4210142324","https://openalex.org/I4210150854"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"MATHIEU MARTIN","raw_affiliation_strings":["THEMA, Departments of Economics, Universit\u00e9 de Cergy Pontoise, 33 Boulevard du Port, 95011 Cergy Pontoise cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"THEMA, Departments of Economics, Universit\u00e9 de Cergy Pontoise, 33 Boulevard du Port, 95011 Cergy Pontoise cedex, France","institution_ids":["https://openalex.org/I4210097546","https://openalex.org/I4210142324"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066582768","display_name":"Vincent Merlin","orcid":"https://orcid.org/0000-0002-5403-6602"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210088544","display_name":"Centre de Recherche en \u00c9conomie et Management","ror":"https://ror.org/0047rmf80","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210088544","https://openalex.org/I4210105918","https://openalex.org/I4210150854","https://openalex.org/I56067802","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"VINCENT MERLIN","raw_affiliation_strings":["CREM, CNRS and University of Caen, Facult\u00e9 de Sciences Economiques et de Gestion, 19 rue Claude Bloch, 14032 Caen Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CREM, CNRS and University of Caen, Facult\u00e9 de Sciences Economiques et de Gestion, 19 rue Claude Bloch, 14032 Caen Cedex, France","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I1294671590","https://openalex.org/I4210088544"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010757155"],"corresponding_institution_ids":["https://openalex.org/I4210097546","https://openalex.org/I4210142324"],"apc_list":null,"apc_paid":null,"fwci":1.1402,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87045556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"08","issue":"04","first_page":"643","last_page":"654"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/emptiness","display_name":"Emptiness","score":0.7180286049842834},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.711637020111084},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.6651368141174316},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6394935846328735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5571218729019165},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49000826478004456},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4883212745189667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4715079367160797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27897024154663086},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.08328410983085632},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.0699702799320221},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06596437096595764},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.050859808921813965}],"concepts":[{"id":"https://openalex.org/C2779150620","wikidata":"https://www.wikidata.org/wiki/Q1096367","display_name":"Emptiness","level":2,"score":0.7180286049842834},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.711637020111084},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6651368141174316},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6394935846328735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5571218729019165},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49000826478004456},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4883212745189667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4715079367160797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27897024154663086},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.08328410983085632},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0699702799320221},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06596437096595764},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.050859808921813965},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198906001156","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198906001156","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:HAL:halshs-00010172v1","is_oa":true,"landing_page_url":"https://shs.hal.science/halshs-00010172","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Game Theory Review, 2006, 8 (4), pp.643--654. ⟨10.1142/S0219198906001156⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:08:y:2006:i:04:n:s0219198906001156","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198906001156","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:HAL:halshs-00010172v1","is_oa":true,"landing_page_url":"https://shs.hal.science/halshs-00010172","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Game Theory Review, 2006, 8 (4), pp.643--654. ⟨10.1142/S0219198906001156⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W646187557","https://openalex.org/W1971781003","https://openalex.org/W1976171008","https://openalex.org/W1985850051","https://openalex.org/W1997399914","https://openalex.org/W2005805506","https://openalex.org/W2006047365","https://openalex.org/W2019472348","https://openalex.org/W2055742692","https://openalex.org/W2061193005","https://openalex.org/W2080920118","https://openalex.org/W2318394716","https://openalex.org/W2335150423"],"related_works":["https://openalex.org/W2323781932","https://openalex.org/W2024521168","https://openalex.org/W2367752232","https://openalex.org/W2912897424","https://openalex.org/W2946506817","https://openalex.org/W3121073237","https://openalex.org/W2904964998","https://openalex.org/W2140920334","https://openalex.org/W4280582564","https://openalex.org/W4301807744"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"the":[4,7,21,27,45],"non-emptiness":[5],"of":[6,23,30],"stability":[8],"set":[9],"for":[10,54],"any":[11],"proper":[12],"voting":[13],"game.":[14],"We":[15,34],"present":[16],"an":[17],"upper":[18],"bound":[19,38],"on":[20],"number":[22],"alternatives":[24],"which":[25],"guarantees":[26],"non":[28],"emptiness":[29],"this":[31,37],"solution":[32],"concept.":[33],"show":[35],"that":[36],"is":[39],"greater":[40],"than":[41],"or":[42],"equal":[43],"to":[44],"one":[46],"given":[47],"by":[48],"Le":[49],"Breton":[50],"and":[51],"Salles":[52],"(1990)":[53],"quota":[55],"games.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2016-06-24T00:00:00"}