{"id":"https://openalex.org/W2940755872","doi":"https://doi.org/10.1142/s0219198919500063","title":"Linear-State Differential Games in Partition Function Form","display_name":"Linear-State Differential Games in Partition Function Form","publication_year":2019,"publication_date":"2019-04-21","ids":{"openalex":"https://openalex.org/W2940755872","doi":"https://doi.org/10.1142/s0219198919500063","mag":"2940755872"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198919500063","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198919500063","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","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/A5006056533","display_name":"Simon Hoof","orcid":"https://orcid.org/0000-0003-2394-7638"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Simon Hoof","raw_affiliation_strings":["Department of Economics, Paderborn University, Paderborn, Germany","Department of Economics; Paderborn University; Paderborn Germany"],"affiliations":[{"raw_affiliation_string":"Department of Economics, Paderborn University, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Department of Economics; Paderborn University; Paderborn Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006056533"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":null,"apc_paid":null,"fwci":0.8488,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8258471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"04","first_page":"1950006","last_page":"1950006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T10108","display_name":"Electoral Systems and Political Participation","score":0.9241999983787537,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"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":0.9139000177383423,"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/mathematical-economics","display_name":"Mathematical economics","score":0.70078444480896},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.691275954246521},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.6148207187652588},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6022292971611023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5381293296813965},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5114142298698425},{"id":"https://openalex.org/keywords/bondareva\u2013shapley-theorem","display_name":"Bondareva\u2013Shapley theorem","score":0.4983103275299072},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48849689960479736},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.4867301285266876},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.4705900251865387},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.46933355927467346},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.46091631054878235},{"id":"https://openalex.org/keywords/symmetric-game","display_name":"Symmetric game","score":0.44737234711647034},{"id":"https://openalex.org/keywords/example-of-a-game-without-a-value","display_name":"Example of a game without a value","score":0.44319796562194824},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44000983238220215},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3752976655960083},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3313766419887543},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25964340567588806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24104055762290955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08641707897186279}],"concepts":[{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.70078444480896},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.691275954246521},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6148207187652588},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6022292971611023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5381293296813965},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5114142298698425},{"id":"https://openalex.org/C51074407","wikidata":"https://www.wikidata.org/wiki/Q4941364","display_name":"Bondareva\u2013Shapley theorem","level":5,"score":0.4983103275299072},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48849689960479736},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.4867301285266876},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.4705900251865387},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.46933355927467346},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.46091631054878235},{"id":"https://openalex.org/C93733245","wikidata":"https://www.wikidata.org/wiki/Q3770642","display_name":"Symmetric game","level":5,"score":0.44737234711647034},{"id":"https://openalex.org/C138328387","wikidata":"https://www.wikidata.org/wiki/Q5419308","display_name":"Example of a game without a value","level":5,"score":0.44319796562194824},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44000983238220215},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3752976655960083},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3313766419887543},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25964340567588806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24104055762290955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08641707897186279},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219198919500063","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198919500063","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:21:y:2019:i:04:n:s0219198919500063","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198919500063","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W38399508","https://openalex.org/W1659904137","https://openalex.org/W1975492159","https://openalex.org/W1987890726","https://openalex.org/W2026488258","https://openalex.org/W2033978783","https://openalex.org/W2063396546","https://openalex.org/W2085648025","https://openalex.org/W2144500880","https://openalex.org/W2144910703","https://openalex.org/W2315464424","https://openalex.org/W2530088584","https://openalex.org/W2804440855","https://openalex.org/W3122007865","https://openalex.org/W3124507439","https://openalex.org/W4255448472"],"related_works":["https://openalex.org/W4293772331","https://openalex.org/W1826220400","https://openalex.org/W1594313668","https://openalex.org/W2375045937","https://openalex.org/W143065017","https://openalex.org/W3150458579","https://openalex.org/W3122289339","https://openalex.org/W3125335429","https://openalex.org/W2143549598","https://openalex.org/W2940755872"],"abstract_inverted_index":{"We":[0,37],"introduce":[1],"a":[2,16,19,31,68],"partition":[3],"function":[4],"for":[5],"[Formula:":[6],"see":[7],"text]-player":[8],"linear-state":[9],"cooperative":[10],"differential":[11],"games.":[12],"The":[13],"value":[14],"of":[15,30,71],"coalition":[17,21],"within":[18],"given":[20],"structure":[22],"is":[23,53],"defined":[24],"as":[25],"its":[26],"noncooperative":[27],"equilibrium":[28],"payoff":[29],"game":[32,52,70],"played":[33],"between":[34],"the":[35,44,47,51,56,64],"coalitions.":[36],"also":[38],"define":[39],"two":[40],"core":[41],"notions,":[42],"namely,":[43],"cautious":[45],"and":[46],"singleton":[48],"core.":[49],"If":[50],"convex,":[54],"then":[55],"cores":[57],"are":[58],"nonempty.":[59],"In":[60],"order":[61],"to":[62],"illustrate":[63],"approach,":[65],"we":[66],"consider":[67],"symmetric":[69],"pollution":[72],"accumulation.":[73]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
