{"id":"https://openalex.org/W7116899720","doi":"https://doi.org/10.1007/s43069-025-00597-9","title":"The Generalized Egalitarian Banzhaf Value Based on Coalition Size","display_name":"The Generalized Egalitarian Banzhaf Value Based on Coalition Size","publication_year":2025,"publication_date":"2025-12-23","ids":{"openalex":"https://openalex.org/W7116899720","doi":"https://doi.org/10.1007/s43069-025-00597-9"},"language":"en","primary_location":{"id":"doi:10.1007/s43069-025-00597-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s43069-025-00597-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000605659","display_name":"Pankaj Hazarika","orcid":null},"institutions":[{"id":"https://openalex.org/I49278261","display_name":"Assam University","ror":"https://ror.org/0535c1v66","country_code":"IN","type":"education","lineage":["https://openalex.org/I49278261"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pankaj Hazarika","raw_affiliation_strings":["Department of Mathematics, Madhabdev University, Lakhimpur, 784164, Assam, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Madhabdev University, Lakhimpur, 784164, Assam, India","institution_ids":["https://openalex.org/I49278261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5096324346","display_name":"Mintu Saikia","orcid":null},"institutions":[{"id":"https://openalex.org/I49278261","display_name":"Assam University","ror":"https://ror.org/0535c1v66","country_code":"IN","type":"education","lineage":["https://openalex.org/I49278261"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mintu Saikia","raw_affiliation_strings":["Department of Mathematics, Madhabdev University, Lakhimpur, 784164, Assam, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Madhabdev University, Lakhimpur, 784164, Assam, India","institution_ids":["https://openalex.org/I49278261"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000605659"],"corresponding_institution_ids":["https://openalex.org/I49278261"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.79009791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9855999946594238,"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":0.9855999946594238,"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":0.00279999990016222,"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/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.8770999908447266},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6990000009536743},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5569000244140625},{"id":"https://openalex.org/keywords/transferable-utility","display_name":"Transferable utility","score":0.5429999828338623},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.43160000443458557},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.42340001463890076},{"id":"https://openalex.org/keywords/equity","display_name":"Equity (law)","score":0.39070001244544983},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.38659998774528503},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3799000084400177}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.8770999908447266},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7407000064849854},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6990000009536743},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5569000244140625},{"id":"https://openalex.org/C81302675","wikidata":"https://www.wikidata.org/wiki/Q7834034","display_name":"Transferable utility","level":3,"score":0.5429999828338623},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4404999911785126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43299999833106995},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.43160000443458557},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.42340001463890076},{"id":"https://openalex.org/C199728807","wikidata":"https://www.wikidata.org/wiki/Q2578557","display_name":"Equity (law)","level":2,"score":0.39070001244544983},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.38659998774528503},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.33959999680519104},{"id":"https://openalex.org/C546784017","wikidata":"https://www.wikidata.org/wiki/Q188958","display_name":"Egalitarianism","level":3,"score":0.3391999900341034},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.3314000070095062},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3052999973297119},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29789999127388},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C2776225642","wikidata":"https://www.wikidata.org/wiki/Q3150644","display_name":"Independence of irrelevant alternatives","level":3,"score":0.27140000462532043},{"id":"https://openalex.org/C116222747","wikidata":"https://www.wikidata.org/wiki/Q220888","display_name":"Falsifiability","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.2644999921321869},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2578999996185303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s43069-025-00597-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s43069-025-00597-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8135581016540527}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W108417620","https://openalex.org/W1968958679","https://openalex.org/W2047210251","https://openalex.org/W2102099143","https://openalex.org/W2148579014","https://openalex.org/W3035317949","https://openalex.org/W4309108443","https://openalex.org/W4406935634"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-12-23T00:00:00"}