{"id":"https://openalex.org/W2091012329","doi":"https://doi.org/10.1007/s00182-010-0257-3","title":"A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure","display_name":"A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure","publication_year":2010,"publication_date":"2010-11-10","ids":{"openalex":"https://openalex.org/W2091012329","doi":"https://doi.org/10.1007/s00182-010-0257-3","mag":"2091012329"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-010-0257-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-010-0257-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-010-0257-3.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00182-010-0257-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078000926","display_name":"Ren\u00e9 van den Brink","orcid":"https://orcid.org/0000-0001-8570-3706"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"id":"https://openalex.org/I198488067","display_name":"Tinbergen Institute","ror":"https://ror.org/054xxtt73","country_code":"NL","type":"education","lineage":["https://openalex.org/I198488067"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ren\u00e9 van den Brink","raw_affiliation_strings":["Department of Econometrics, Tinbergen Institute, VU Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, The Netherlands","Tinbergen Institute, VU Amsterdam"],"affiliations":[{"raw_affiliation_string":"Department of Econometrics, Tinbergen Institute, VU Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I198488067","https://openalex.org/I865915315"]},{"raw_affiliation_string":"Tinbergen Institute, VU Amsterdam","institution_ids":["https://openalex.org/I198488067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071459879","display_name":"Ilya Katsev","orcid":"https://orcid.org/0000-0001-9279-0086"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ilya Katsev","raw_affiliation_strings":["St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st., 191187, St. Petersburg, Russia","Russian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st., 191187, St. Petersburg, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Russian Academy of Sciences","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111370594","display_name":"Gerard van der Laan","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"id":"https://openalex.org/I198488067","display_name":"Tinbergen Institute","ror":"https://ror.org/054xxtt73","country_code":"NL","type":"education","lineage":["https://openalex.org/I198488067"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Gerard van der Laan","raw_affiliation_strings":["Department of Econometrics, Tinbergen Institute, VU Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, The Netherlands","Tinbergen Institute, VU Amsterdam"],"affiliations":[{"raw_affiliation_string":"Department of Econometrics, Tinbergen Institute, VU Amsterdam, De Boelelaan 1105, 1081 HV, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I198488067","https://openalex.org/I865915315"]},{"raw_affiliation_string":"Tinbergen Institute, VU Amsterdam","institution_ids":["https://openalex.org/I198488067"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078000926"],"corresponding_institution_ids":["https://openalex.org/I198488067","https://openalex.org/I865915315"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.1587179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"40","issue":"3","first_page":"591","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9939000010490417,"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/T11031","display_name":"Game Theory and Applications","score":0.9833999872207642,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/permission","display_name":"Permission","score":0.8858710527420044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6607587933540344},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6114768981933594},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5292548537254333},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.5166573524475098},{"id":"https://openalex.org/keywords/transferable-utility","display_name":"Transferable utility","score":0.5008671283721924},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.48720329999923706},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4731013774871826},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.45174455642700195},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.44639548659324646},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4350614845752716},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.3889545798301697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.263194739818573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2006009817123413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14974230527877808}],"concepts":[{"id":"https://openalex.org/C2779089604","wikidata":"https://www.wikidata.org/wiki/Q7169333","display_name":"Permission","level":2,"score":0.8858710527420044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6607587933540344},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6114768981933594},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5292548537254333},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.5166573524475098},{"id":"https://openalex.org/C81302675","wikidata":"https://www.wikidata.org/wiki/Q7834034","display_name":"Transferable utility","level":3,"score":0.5008671283721924},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.48720329999923706},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4731013774871826},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.45174455642700195},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.44639548659324646},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4350614845752716},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.3889545798301697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.263194739818573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2006009817123413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14974230527877808},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00182-010-0257-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-010-0257-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-010-0257-3.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jogath:v:40:y:2011:i:3:p:591-616","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00182-010-0257-3","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:vu:oai:research.vu.nl:publications/1f87d640-15fe-45ac-819c-b3097b426e24","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/1f87d640-15fe-45ac-819c-b3097b426e24","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"International Journal of Game Theory, 40, 591 - 616. Springer Verlag","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00182-010-0257-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-010-0257-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-010-0257-3.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G6648459636","display_name":null,"funder_award_id":"NWO-grant 047.017.017","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2091012329.pdf","grobid_xml":"https://content.openalex.org/works/W2091012329.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1538322543","https://openalex.org/W1562353621","https://openalex.org/W1975617599","https://openalex.org/W1993368738","https://openalex.org/W1998788558","https://openalex.org/W1998976937","https://openalex.org/W2030070800","https://openalex.org/W2033189568","https://openalex.org/W2036615569","https://openalex.org/W2040217797","https://openalex.org/W2042933382","https://openalex.org/W2046693296","https://openalex.org/W2057384682","https://openalex.org/W2061334358","https://openalex.org/W2101676628","https://openalex.org/W2116198645","https://openalex.org/W2125363721","https://openalex.org/W2133445191","https://openalex.org/W2149841491","https://openalex.org/W2167607952","https://openalex.org/W3121242077","https://openalex.org/W3123269549"],"related_works":["https://openalex.org/W3163755946","https://openalex.org/W3125001285","https://openalex.org/W2061334358","https://openalex.org/W2117925547","https://openalex.org/W4255770387","https://openalex.org/W2154560820","https://openalex.org/W3127136240","https://openalex.org/W3122541396","https://openalex.org/W4212797589","https://openalex.org/W2119845623"],"abstract_inverted_index":{"Recently,":[0],"applications":[1,122],"of":[2,23,33,76,88,106,114],"cooperative":[3,46],"game":[4,73],"theory":[5],"to":[6,68,83,111],"economic":[7,121],"allocation":[8,16],"problems":[9,17],"have":[10],"gained":[11],"popularity.":[12],"In":[13,26,93],"many":[14],"such":[15],"there":[18,55],"is":[19],"some":[20],"hierarchical":[21],"ordering":[22],"the":[24,52,77,86,104,107],"players.":[25],"this":[27,94],"paper":[28,95],"we":[29,96],"consider":[30],"a":[31,36,45,98,112,117],"class":[32,113],"games":[34,109,115,132],"with":[35,116],"permission":[37,60,118],"structure":[38,119],"describing":[39],"situations":[40],"in":[41,44,51],"which":[42,120],"players":[43,57,63],"TU-game":[47],"are":[48,56,66],"hierarchically":[49],"ordered":[50],"sense":[53],"that":[54,58],"need":[59],"from":[61],"other":[62],"before":[64],"they":[65],"allowed":[67],"cooperate.":[69],"The":[70],"corresponding":[71,110],"restricted":[72,108],"takes":[74],"account":[75],"limited":[78],"cooperation":[79],"possibilities":[80],"by":[81],"assigning":[82],"every":[84],"coalition":[85],"worth":[87],"its":[89],"largest":[90],"feasible":[91],"subset.":[92],"provide":[97],"polynomial":[99],"time":[100],"algorithm":[101],"for":[102],"computing":[103],"nucleolus":[105],"include":[123],"auction":[124],"games,":[125,128],"dual":[126,129],"airport":[127],"polluted":[130],"river":[131],"and":[133],"information":[134],"market":[135],"games.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
