{"id":"https://openalex.org/W1964130518","doi":"https://doi.org/10.1007/s00182-009-0176-3","title":"The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties","display_name":"The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties","publication_year":2009,"publication_date":"2009-09-09","ids":{"openalex":"https://openalex.org/W1964130518","doi":"https://doi.org/10.1007/s00182-009-0176-3","mag":"1964130518"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-009-0176-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0176-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0176-3.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/s00182-009-0176-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075376084","display_name":"Michael Maschler","orcid":null},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Michael Maschler","raw_affiliation_strings":["P.O. Box 90153, 5000 LE, Tilburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"P.O. Box 90153, 5000 LE, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103369459","display_name":"Jos Potters","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jos Potters","raw_affiliation_strings":["Radboud University Nijmegen, Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004044430","display_name":"Hans Reijnierse","orcid":"https://orcid.org/0000-0002-8503-2639"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Hans Reijnierse","raw_affiliation_strings":["Center and Department of Economics and OR, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands","P.O. Box 90153, 5000 LE, Tilburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Center and Department of Economics and OR, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"P.O. Box 90153, 5000 LE, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004044430"],"corresponding_institution_ids":["https://openalex.org/I193700539"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.7844,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8288105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"1-2","first_page":"89","last_page":"104"},"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/T11031","display_name":"Game Theory and Applications","score":0.9990000128746033,"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":0.9962000250816345,"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/nucleolus","display_name":"Nucleolus","score":0.6684591770172119},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6427901387214661},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5329027771949768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4768282473087311},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.44775858521461487},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.44296616315841675},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4403280019760132},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.43623337149620056},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4213044345378876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4111667573451996},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41061294078826904},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30661383271217346},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23110070824623108},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1254497766494751},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09234577417373657}],"concepts":[{"id":"https://openalex.org/C183873130","wikidata":"https://www.wikidata.org/wiki/Q30869","display_name":"Nucleolus","level":3,"score":0.6684591770172119},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6427901387214661},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5329027771949768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4768282473087311},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.44775858521461487},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.44296616315841675},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4403280019760132},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43623337149620056},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4213044345378876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4111667573451996},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41061294078826904},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30661383271217346},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23110070824623108},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1254497766494751},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09234577417373657},{"id":"https://openalex.org/C190062978","wikidata":"https://www.wikidata.org/wiki/Q79899","display_name":"Cytoplasm","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00182-009-0176-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0176-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0176-3.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:39:y:2010:i:1:p:89-104","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00182-009-0176-3","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"}],"best_oa_location":{"id":"doi:10.1007/s00182-009-0176-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-009-0176-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-009-0176-3.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":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1964130518.pdf","grobid_xml":"https://content.openalex.org/works/W1964130518.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1552915161","https://openalex.org/W1987344946","https://openalex.org/W2020160071","https://openalex.org/W2030306907","https://openalex.org/W2032642145","https://openalex.org/W2036615569","https://openalex.org/W2079731867","https://openalex.org/W2082947441","https://openalex.org/W2093715448","https://openalex.org/W2115064460","https://openalex.org/W2125363721","https://openalex.org/W2133953743"],"related_works":["https://openalex.org/W2416861694","https://openalex.org/W1995011209","https://openalex.org/W2409725419","https://openalex.org/W2008134180","https://openalex.org/W2416471875","https://openalex.org/W2082558713","https://openalex.org/W2161881930","https://openalex.org/W2428948359","https://openalex.org/W2327271620","https://openalex.org/W2102099143"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"yet":[3],"another":[4],"algorithm":[5,19],"to":[6,47,79],"compute":[7],"the":[8,29,33,49,60,70],"nucleolus":[9,61,71],"of":[10,17,28,59,65,72],"a":[11,24,37,45,68,73,80],"standard":[12],"tree":[13,74],"game.":[14],"One":[15],"advantage":[16,52],"this":[18,63],"is":[20,53],"that":[21,54],"it":[22,55],"provides":[23],"very":[25],"intuitive":[26],"interpretation":[27],"nucleolus,":[30],"under":[31],"which":[32,41],"players":[34],"participate":[35],"in":[36,40],"joint":[38],"enterprize":[39],"each":[42],"group":[43],"sends":[44],"member":[46],"help":[48],"community.":[50],"Another":[51],"demonstrates":[56],"monotonicity":[57],"properties":[58],"within":[62],"class":[64],"games.":[66],"As":[67],"consequence":[69],"game":[75],"can":[76],"be":[77],"extended":[78],"population":[81],"monotonic":[82],"allocation":[83],"scheme.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"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"}
