{"id":"https://openalex.org/W3004382797","doi":"https://doi.org/10.1007/s00355-020-01296-6","title":"Axiomatizations for the Shapley\u2013Shubik power index for games with several levels of approval in the input and output","display_name":"Axiomatizations for the Shapley\u2013Shubik power index for games with several levels of approval in the input and output","publication_year":2020,"publication_date":"2020-10-12","ids":{"openalex":"https://openalex.org/W3004382797","doi":"https://doi.org/10.1007/s00355-020-01296-6","mag":"3004382797"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-020-01296-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-020-01296-6","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.10197","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sascha Kurz","orcid":"https://orcid.org/0000-0003-4597-2041"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sascha Kurz","raw_affiliation_strings":["Department of Mathematics, Physics and Computer Science, University of Bayreuth, 95440, Bayreuth, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4597-2041","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Physics and Computer Science, University of Bayreuth, 95440, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Issofa Moyouwou","orcid":null},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Issofa Moyouwou","raw_affiliation_strings":["Advanced Teachers Training College, University of Yaounde I, PO Box 47, Yaounde, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Teachers Training College, University of Yaounde I, PO Box 47, Yaounde, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hilaire Touyem","orcid":null},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Hilaire Touyem","raw_affiliation_strings":["Research and Training Unit for Doctorate in Mathematics, Computer Sciences and Applications, University of Yaounde I, PO Box 812, Yaounde, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Training Unit for Doctorate in Mathematics, Computer Sciences and Applications, University of Yaounde I, PO Box 812, Yaounde, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I54009628"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6112,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82311526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"3","first_page":"569","last_page":"594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.788100004196167,"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":0.788100004196167,"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/T11031","display_name":"Game Theory and Applications","score":0.09229999780654907,"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/T10142","display_name":"Formal Methods in Verification","score":0.014700000174343586,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.7746000289916992},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.729200005531311},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7149999737739563},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6998999714851379},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5914000272750854},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.57669997215271},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5511000156402588}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.7746000289916992},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.729200005531311},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7149999737739563},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6998999714851379},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6128000020980835},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5914000272750854},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.57669997215271},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5511000156402588},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.531499981880188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4934000074863434},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4196000099182129},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3880000114440918},{"id":"https://openalex.org/C178283979","wikidata":"https://www.wikidata.org/wiki/Q274490","display_name":"Public finance","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34119999408721924},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.328900009393692},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.3190999925136566},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2815000116825104},{"id":"https://openalex.org/C2781011336","wikidata":"https://www.wikidata.org/wiki/Q1465133","display_name":"Time limit","level":2,"score":0.2709999978542328}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00355-020-01296-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-020-01296-6","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.10197","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.10197","pdf_url":"https://arxiv.org/pdf/2001.10197","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:RePEc:spr:sochwe:v:56:y:2021:i:3:d:10.1007_s00355-020-01296-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00355-020-01296-6","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"},{"id":"pmh:oai:eref.uni-bayreuth.de:64420","is_oa":false,"landing_page_url":"https://link.springer.com/article/10.1007/s00355-020-01296-6?utm_source=toc&utm_medium=email&utm_campaign=toc_355_56_3&utm_content=etoc_springer_20210326","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.10197","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.10197","pdf_url":"https://arxiv.org/pdf/2001.10197","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W24558588","https://openalex.org/W1968958679","https://openalex.org/W1979465106","https://openalex.org/W1984397901","https://openalex.org/W2002616065","https://openalex.org/W2041121948","https://openalex.org/W2073789589","https://openalex.org/W2081825040","https://openalex.org/W2118845042","https://openalex.org/W2795835285","https://openalex.org/W2885049927","https://openalex.org/W2887453295","https://openalex.org/W2992810907","https://openalex.org/W2995399584","https://openalex.org/W3126035067","https://openalex.org/W3142094209","https://openalex.org/W4238768247","https://openalex.org/W4252793191"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-02-07T00:00:00"}
