{"id":"https://openalex.org/W2078419027","doi":"https://doi.org/10.1007/s001829900027","title":"An alternative characterization of the weighted Banzhaf value","display_name":"An alternative characterization of the weighted Banzhaf value","publication_year":2000,"publication_date":"2000-02-17","ids":{"openalex":"https://openalex.org/W2078419027","doi":"https://doi.org/10.1007/s001829900027","mag":"2078419027"},"language":"en","primary_location":{"id":"doi:10.1007/s001829900027","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001829900027","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","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/A5065275841","display_name":"Andrzej S. Nowak","orcid":"https://orcid.org/0000-0002-0314-0901"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej S. Nowak","raw_affiliation_strings":["Institute of Mathematics, Technical University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland (e-mail: nowak@im.pwr.wroc.pl), , , , , , PL","Institute of Mathematics, Technical University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland (e-mail: nowak@im.pwr.wroc.pl), , PL"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technical University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland (e-mail: nowak@im.pwr.wroc.pl), , , , , , PL","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Institute of Mathematics, Technical University of Zielona G\u00f3ra, Podg\u00f3rna 50, 65-246 Zielona G\u00f3ra, Poland (e-mail: nowak@im.pwr.wroc.pl), , PL","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017809427","display_name":"Tadeusz Radzik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tadeusz Radzik","raw_affiliation_strings":["Institute of Mathematics, Wroc\u0142aw University of Technology, Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland, , , , , , PL","Institute of Mathematics, Wroc\u0142aw University of Technology, Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland, PL"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Wroc\u0142aw University of Technology, Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland, , , , , , PL","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Wroc\u0142aw University of Technology, Wyspia\u0144skiego 27, 50-370 Wroc\u0142aw, Poland, PL","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065275841"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.41218925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"1","first_page":"127","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.994700014591217,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9930999875068665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7998696565628052},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6926155686378479},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.681218147277832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5977303385734558},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5519633889198303},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5278083086013794},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.44316360354423523},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36439841985702515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18183910846710205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11379826068878174},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06421926617622375},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.04493740200996399},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04030656814575195}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7998696565628052},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6926155686378479},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.681218147277832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5977303385734558},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5519633889198303},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5278083086013794},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.44316360354423523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36439841985702515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18183910846710205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11379826068878174},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06421926617622375},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.04493740200996399},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04030656814575195},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001829900027","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001829900027","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3144795906","https://openalex.org/W3122923957","https://openalex.org/W2753083100","https://openalex.org/W3198799031","https://openalex.org/W2090831035","https://openalex.org/W1584952351","https://openalex.org/W2081948323","https://openalex.org/W2927058411","https://openalex.org/W3005084276","https://openalex.org/W2156879229"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}