{"id":"https://openalex.org/W4285605466","doi":"https://doi.org/10.24963/ijcai.2022/37","title":"On the Ordinal Invariance of Power Indices on Coalitional Games","display_name":"On the Ordinal Invariance of Power Indices on Coalitional Games","publication_year":2022,"publication_date":"2022-07-01","ids":{"openalex":"https://openalex.org/W4285605466","doi":"https://doi.org/10.24963/ijcai.2022/37"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2022/37","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/37","pdf_url":"https://www.ijcai.org/proceedings/2022/0037.pdf","source":{"id":"https://openalex.org/S4363608755","display_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ijcai.org/proceedings/2022/0037.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043803465","display_name":"Jean\u2010Paul Doignon","orcid":"https://orcid.org/0000-0003-4344-3808"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jean-Paul Doignon","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034676393","display_name":"Stefano Moretti","orcid":"https://orcid.org/0000-0002-8601-7246"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Moretti","raw_affiliation_strings":["CNRS, Lamsade"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Lamsade","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101428446","display_name":"Meltem \u00d6zt\u00fcrk","orcid":"https://orcid.org/0000-0002-0267-1153"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meltem Ozturk","raw_affiliation_strings":["CNRS, Lamsade"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Lamsade","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5214,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81663516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"258","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9940000176429749,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/ranking","display_name":"Ranking (information retrieval)","score":0.7544592618942261},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.7078922390937805},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.593584418296814},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5892109274864197},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5189132690429688},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.510394275188446},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.48448440432548523},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47698909044265747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4488183259963989},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.44590580463409424},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.4346923530101776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4058961868286133},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.35199880599975586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3256593942642212},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14257588982582092},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1206788420677185}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7544592618942261},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.7078922390937805},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.593584418296814},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5892109274864197},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5189132690429688},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.510394275188446},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.48448440432548523},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47698909044265747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4488183259963989},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.44590580463409424},{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.4346923530101776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4058961868286133},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.35199880599975586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3256593942642212},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14257588982582092},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1206788420677185},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.24963/ijcai.2022/37","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/37","pdf_url":"https://www.ijcai.org/proceedings/2022/0037.pdf","source":{"id":"https://openalex.org/S4363608755","display_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:basepub.dauphine.psl.eu:123456789/24726","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03829753","pdf_url":"https://hal.science/hal-03829753/document","source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication / Conf\u00e9rence"},{"id":"pmh:oai:HAL:hal-03829753v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03829753","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":"Thirty-First International Joint Conference on Artificial Intelligence (IJCAI-22), Jul 2022, Vienna, Austria. &#x27E8;10.24963/ijcai.2022/37&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/349506","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/349506","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"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":null,"raw_type":"info:ulb-repo/semantics/openurl/bookitem"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2022/37","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/37","pdf_url":"https://www.ijcai.org/proceedings/2022/0037.pdf","source":{"id":"https://openalex.org/S4363608755","display_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1118371825","display_name":"THeory and Evidence to Measure Influence in Social structures","funder_award_id":"ANR-20-CE23-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2244883428","display_name":null,"funder_award_id":"project THEMIS ANR-20-CE23-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285605466.pdf","grobid_xml":"https://content.openalex.org/works/W4285605466.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W32692342","https://openalex.org/W614042746","https://openalex.org/W1975617599","https://openalex.org/W1985899049","https://openalex.org/W1985941874","https://openalex.org/W2043269379","https://openalex.org/W2045122596","https://openalex.org/W2076786454","https://openalex.org/W2090368339","https://openalex.org/W2125363721","https://openalex.org/W2134063650","https://openalex.org/W2742121653","https://openalex.org/W2808636431","https://openalex.org/W2900482649","https://openalex.org/W2962862931","https://openalex.org/W3102501663","https://openalex.org/W4300260574"],"related_works":["https://openalex.org/W1894585900","https://openalex.org/W2006581498","https://openalex.org/W4400489929","https://openalex.org/W2004258443","https://openalex.org/W2885187933","https://openalex.org/W2013832345","https://openalex.org/W2261574202","https://openalex.org/W2120220542","https://openalex.org/W1998066849","https://openalex.org/W800307824"],"abstract_inverted_index":{"In":[0],"a":[1,18,85,130,157,162],"coalitional":[2,96],"game,":[3],"the":[4,14,23,29,36,43,47,50,54,59,65,75,91,95,136,169,172,182],"coalitions":[5,48,173],"are":[6,25,33,101,107,127,145,151],"weakly":[7],"ordered":[8],"according":[9,27],"to":[10,28,167,175],"their":[11],"worths":[12,97],"in":[13,69,81,143],"game.":[15,76],"When":[16],"moreover":[17],"power":[19,37,66,92,115],"index":[20,116],"is":[21,61,71,79,88,118,159],"given,":[22],"players":[24,55,83],"ranked":[26],"real":[30],"numbers":[31],"they":[32],"assigned":[34],"by":[35,57],"index.":[38,133],"If":[39,77],"any":[40,114],"game":[41,60,86,158],"inducing":[42],"same":[44,51],"ordering":[45,170],"of":[46,53,84,110,171],"generates":[49],"ranking":[52,82],"then,":[56],"definition,":[58],"(ordinally)":[62],"stable":[63,112,128,160],"for":[64,74,113,129,161],"index,":[67],"which":[68,87,117],"turn":[70],"ordinally":[72],"invariant":[73],"one":[78],"interested":[80],"stable,":[89],"re-computing":[90],"indices":[93],"when":[94],"slightly":[98],"fluctuate":[99],"or":[100],"uncertain":[102],"becomes":[103],"useless.":[104],"Bivalued":[105],"games":[106,111],"easy":[108],"examples":[109],"linear.":[119],"Among":[120],"general":[121],"games,":[122],"we":[123],"characterize":[124],"those":[125],"that":[126,135],"given":[131],"linear":[132,152],"Note":[134],"Shapley":[137],"and":[138,148,174],"Banzhaf":[139],"scores,":[140],"frequently":[141],"used":[142],"AI,":[144],"particular":[146],"semivalues,":[147],"all":[149],"semivalues":[150],"indices.":[153],"To":[154],"check":[155],"whether":[156],"specific":[163],"semivalue,":[164],"it":[165],"suffices":[166],"inspect":[168],"perform":[176],"some":[177],"direct":[178],"computation":[179],"based":[180],"on":[181],"semivalue":[183],"parameters.":[184]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2022-07-16T00:00:00"}
