{"id":"https://openalex.org/W4281561596","doi":"https://doi.org/10.1007/s10479-022-04768-3","title":"Characterization of a value for games under restricted cooperation","display_name":"Characterization of a value for games under restricted cooperation","publication_year":2022,"publication_date":"2022-05-26","ids":{"openalex":"https://openalex.org/W4281561596","doi":"https://doi.org/10.1007/s10479-022-04768-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-022-04768-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-022-04768-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-022-04768-3.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-022-04768-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011344210","display_name":"M. Josune Albizuri","orcid":"https://orcid.org/0000-0002-2435-1046"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Josune Albizuri","raw_affiliation_strings":["Faculty of Business Administration, Basque Country University (UPV/EHU), Lehendakari Aguirre 83, 48015, Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, Basque Country University (UPV/EHU), Lehendakari Aguirre 83, 48015, Bilbao, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009847214","display_name":"Satoshi Masuya","orcid":"https://orcid.org/0000-0001-6389-3182"},"institutions":[{"id":"https://openalex.org/I201719341","display_name":"Daito Bunka University","ror":"https://ror.org/05cw8ax51","country_code":"JP","type":"education","lineage":["https://openalex.org/I201719341"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Masuya","raw_affiliation_strings":["Faculty of Business Administration, Daito Bunka University, 1-9-1, Takashimadaira, Itabashi-ku, Tokyo, 175-8571, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, Daito Bunka University, 1-9-1, Takashimadaira, Itabashi-ku, Tokyo, 175-8571, Japan","institution_ids":["https://openalex.org/I201719341"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025701890","display_name":"Jos\u00e9 M. Zarzuelo","orcid":"https://orcid.org/0000-0002-3317-5312"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 M. Zarzuelo","raw_affiliation_strings":["Faculty of Business Administration, Basque Country University (UPV/EHU), Lehendakari Aguirre 83, 48015, Bilbao, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3317-5312","affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, Basque Country University (UPV/EHU), Lehendakari Aguirre 83, 48015, Bilbao, Spain","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025701890"],"corresponding_institution_ids":["https://openalex.org/I169108374"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":1.9222,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89024918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"318","issue":"2","first_page":"773","last_page":"785"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"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":1.0,"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":0.9843000173568726,"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/T12137","display_name":"Economic theories and models","score":0.9811000227928162,"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/shapley-value","display_name":"Shapley value","score":0.9043707251548767},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.784058690071106},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6744474172592163},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6239511966705322},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5959358215332031},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5863595604896545},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47360873222351074},{"id":"https://openalex.org/keywords/dividend","display_name":"Dividend","score":0.4108723998069763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3968280553817749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38214775919914246},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3493504226207733},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.25526100397109985},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08689084649085999}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.9043707251548767},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.784058690071106},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6744474172592163},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6239511966705322},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5959358215332031},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5863595604896545},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47360873222351074},{"id":"https://openalex.org/C116168712","wikidata":"https://www.wikidata.org/wiki/Q181201","display_name":"Dividend","level":2,"score":0.4108723998069763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3968280553817749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38214775919914246},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3493504226207733},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.25526100397109985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08689084649085999},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10479-022-04768-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-022-04768-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-022-04768-3.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:318:y:2022:i:2:d:10.1007_s10479-022-04768-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-022-04768-3","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:addi.ehu.eus:10810/72000","is_oa":true,"landing_page_url":"http://hdl.handle.net/10810/72000","pdf_url":null,"source":{"id":"https://openalex.org/S4306401964","display_name":"Communities in ADDI (University of the Basque Country)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169108374","host_organization_name":"University of the Basque Country","host_organization_lineage":["https://openalex.org/I169108374"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10479-022-04768-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-022-04768-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-022-04768-3.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.6100000143051147,"display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G2043950110","display_name":null,"funder_award_id":"GIU17/0151","funder_id":"https://openalex.org/F4320321919","funder_display_name":"Euskal Herriko Unibertsitatea"},{"id":"https://openalex.org/G261102920","display_name":null,"funder_award_id":"ECO2015-66803-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G479689298","display_name":null,"funder_award_id":"PID2019-105291GB-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5555131222","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G7885092790","display_name":null,"funder_award_id":"GIU20/019","funder_id":"https://openalex.org/F4320321919","funder_display_name":"Euskal Herriko Unibertsitatea"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320321919","display_name":"Euskal Herriko Unibertsitatea","ror":"https://ror.org/000xsnr85"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281561596.pdf","grobid_xml":"https://content.openalex.org/works/W4281561596.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W204900244","https://openalex.org/W1001287412","https://openalex.org/W1525213644","https://openalex.org/W1968958679","https://openalex.org/W1975617599","https://openalex.org/W1977085026","https://openalex.org/W1977318458","https://openalex.org/W2002616065","https://openalex.org/W2036145416","https://openalex.org/W2052118119","https://openalex.org/W2065324725","https://openalex.org/W2072141744","https://openalex.org/W2075261376","https://openalex.org/W2081822233","https://openalex.org/W2101421259","https://openalex.org/W2102490385","https://openalex.org/W2136158952","https://openalex.org/W2157180608","https://openalex.org/W2161890656","https://openalex.org/W2487898712","https://openalex.org/W2992810907","https://openalex.org/W3123605639","https://openalex.org/W4238768247","https://openalex.org/W6664305073","https://openalex.org/W6695180319"],"related_works":["https://openalex.org/W2134939199","https://openalex.org/W1584952351","https://openalex.org/W3206048862","https://openalex.org/W4287324729","https://openalex.org/W2808839094","https://openalex.org/W2052118119","https://openalex.org/W3131037858","https://openalex.org/W3125308771","https://openalex.org/W2803105815","https://openalex.org/W2009085509"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"object":[2],"of":[3,20,51,59,86,102,121,133],"this":[4,60,97,110],"paper":[5],"is":[6,23,36],"to":[7,72,83,116],"study":[8],"restricted":[9,31,103,113],"cooperative":[10,14,32,104,114],"games,":[11,87],"that":[12],"is,":[13],"games":[15,33,115],"for":[16,29,112],"which":[17,69],"the":[18,39,52,84,100,118,122,129,134],"worth":[19],"some":[21],"coalitions":[22],"unknown.":[24],"We":[25,55],"consider":[26],"a":[27,57],"value":[28,61,98,111,136],"these":[30],"whose":[34],"definition":[35],"based":[37],"on":[38,99],"Harsanyi\u2019s":[40],"dividends":[41],"approach,":[42],"and":[43,67,79,127,139],"can":[44],"therefore":[45],"be":[46],"seen":[47],"as":[48],"an":[49],"extension":[50],"Shapley":[53,76],"value.":[54],"provide":[56],"characterization":[58],"with":[62,131],"three":[63],"axioms:":[64],"Carrier,":[65],"Symmetric-partnership":[66],"Additivity,":[68],"are":[70],"similar":[71],"those":[73,132],"proposed":[74],"by":[75],"(in:":[77],"Kuhn":[78],"Tucker":[80],"(eds)":[81],"Contributions":[82],"theory":[85],"Princeton":[88],"University":[89],"Press,":[90],"Princeton,":[91],"1953).":[92],"In":[93],"addition,":[94],"we":[95,108],"characterize":[96],"subclass":[101],"simple":[105],"games.":[106],"Finally,":[107],"apply":[109],"analyze":[117],"power":[119],"distribution":[120],"Catalonian":[123],"Parliament":[124],"in":[125,137],"1980":[126],"compare":[128],"results":[130],"coalitional":[135],"Carreras":[138],"Owen":[140],"(Math":[141],"Soc":[142],"Sci":[143],"15:87\u201392,":[144],"1988).":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}