{"id":"https://openalex.org/W2898603224","doi":"https://doi.org/10.3390/g9040085","title":"Ex Post Nash Equilibrium in Linear Bayesian Games for Decision Making in Multi-Environments","display_name":"Ex Post Nash Equilibrium in Linear Bayesian Games for Decision Making in Multi-Environments","publication_year":2018,"publication_date":"2018-10-24","ids":{"openalex":"https://openalex.org/W2898603224","doi":"https://doi.org/10.3390/g9040085","mag":"2898603224"},"language":"en","primary_location":{"id":"doi:10.3390/g9040085","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g9040085","pdf_url":"https://www.mdpi.com/2073-4336/9/4/85/pdf?version=1540990916","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Games","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-4336/9/4/85/pdf?version=1540990916","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058087229","display_name":"Abbas Edalat","orcid":"https://orcid.org/0000-0002-6211-1991"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abbas Edalat","raw_affiliation_strings":["Department of Computing, Imperial College London, London SW7 2RH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London SW7 2RH, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085997997","display_name":"Samira Hossein Ghorban","orcid":"https://orcid.org/0000-0003-4147-3181"},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Samira Hossein Ghorban","raw_affiliation_strings":["School of Computer Science, Institute for Research in Fundamental Sciences (IPM), Lavasani Av., P.O. Box 19395-5746, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Institute for Research in Fundamental Sciences (IPM), Lavasani Av., P.O. Box 19395-5746, Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057968504","display_name":"Ali Ghoroghi","orcid":"https://orcid.org/0000-0001-5594-7275"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ali Ghoroghi","raw_affiliation_strings":["Department of Computing, Imperial College London, London SW7 2RH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London SW7 2RH, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085997997"],"corresponding_institution_ids":["https://openalex.org/I4210146419"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15288479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":"4","first_page":"85","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9995999932289124,"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":0.9993000030517578,"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7110937833786011},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6548106670379639},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5739232897758484},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.49375542998313904},{"id":"https://openalex.org/keywords/bayesian-game","display_name":"Bayesian game","score":0.47695910930633545},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.45697885751724243},{"id":"https://openalex.org/keywords/trembling-hand-perfect-equilibrium","display_name":"Trembling hand perfect equilibrium","score":0.45351356267929077},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4417579174041748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4339498281478882},{"id":"https://openalex.org/keywords/symmetric-equilibrium","display_name":"Symmetric equilibrium","score":0.42759254574775696},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.4065204858779907},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3518831133842468},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3402773141860962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2971157133579254},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.24338120222091675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13596010208129883}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7110937833786011},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6548106670379639},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5739232897758484},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.49375542998313904},{"id":"https://openalex.org/C200594392","wikidata":"https://www.wikidata.org/wiki/Q812529","display_name":"Bayesian game","level":4,"score":0.47695910930633545},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.45697885751724243},{"id":"https://openalex.org/C16946829","wikidata":"https://www.wikidata.org/wiki/Q1039525","display_name":"Trembling hand perfect equilibrium","level":5,"score":0.45351356267929077},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4417579174041748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4339498281478882},{"id":"https://openalex.org/C93979843","wikidata":"https://www.wikidata.org/wiki/Q7661306","display_name":"Symmetric equilibrium","level":5,"score":0.42759254574775696},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.4065204858779907},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3518831133842468},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3402773141860962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2971157133579254},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.24338120222091675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13596010208129883}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/g9040085","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g9040085","pdf_url":"https://www.mdpi.com/2073-4336/9/4/85/pdf?version=1540990916","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Games","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jgames:v:9:y:2018:i:4:p:85-:d:178016","is_oa":false,"landing_page_url":"https://www.mdpi.com/2073-4336/9/4/85/","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:doaj.org/article:2988148179d04406b63e2e8b5000c458","is_oa":true,"landing_page_url":"https://doaj.org/article/2988148179d04406b63e2e8b5000c458","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Games, Vol 9, Iss 4, p 85 (2018)","raw_type":"article"},{"id":"pmh:oai:econstor.eu:10419/219206","is_oa":true,"landing_page_url":"http://hdl.handle.net/10419/219206","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"doc-type:article"},{"id":"pmh:oai:mdpi.com:/2073-4336/9/4/85/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/g9040085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Games","raw_type":"Text"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/64312","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/64312","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"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":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.3390/g9040085","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g9040085","pdf_url":"https://www.mdpi.com/2073-4336/9/4/85/pdf?version=1540990916","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Games","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2898603224.pdf","grobid_xml":"https://content.openalex.org/works/W2898603224.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W32127252","https://openalex.org/W1457419354","https://openalex.org/W1497974604","https://openalex.org/W1512531990","https://openalex.org/W1555547018","https://openalex.org/W1842379050","https://openalex.org/W1970235050","https://openalex.org/W1977768967","https://openalex.org/W1978180733","https://openalex.org/W1989678157","https://openalex.org/W1991713925","https://openalex.org/W1997147068","https://openalex.org/W2033682668","https://openalex.org/W2043749813","https://openalex.org/W2045633722","https://openalex.org/W2077887942","https://openalex.org/W2096843647","https://openalex.org/W2103635043","https://openalex.org/W2107619343","https://openalex.org/W2109834199","https://openalex.org/W2123856966","https://openalex.org/W2124888406","https://openalex.org/W2127771118","https://openalex.org/W2137137956","https://openalex.org/W2146888740","https://openalex.org/W2155779146","https://openalex.org/W2399884099","https://openalex.org/W2605365420","https://openalex.org/W2942761823","https://openalex.org/W2949585032","https://openalex.org/W3023268692","https://openalex.org/W3118247429","https://openalex.org/W4205759800","https://openalex.org/W6642894534","https://openalex.org/W6683733446","https://openalex.org/W6731314092","https://openalex.org/W6762032653","https://openalex.org/W6789920368"],"related_works":["https://openalex.org/W1553185561","https://openalex.org/W3124797202","https://openalex.org/W3099302628","https://openalex.org/W1554758635","https://openalex.org/W3125812435","https://openalex.org/W1502787658","https://openalex.org/W1721270588","https://openalex.org/W2068864510","https://openalex.org/W2122414948","https://openalex.org/W2026594420"],"abstract_inverted_index":{"We":[0,123,178],"show":[1,124],"that":[2],"a":[3,14,39,49,92,127,149,166,194,199,217,236],"Bayesian":[4,77],"game":[5,147],"where":[6],"the":[7,24,65,116,120,132,156,173,185,190,206,209,224,243],"type":[8,34,53,160,175,210,228],"space":[9,54,212,230],"of":[10,17,26,55,75,94,135,139,158,187,189,208,226],"each":[11,27,56,136],"agent":[12,28,57,137],"is":[13,36,47],"bounded":[15],"set":[16,134],"m-dimensional":[18,76],"vectors":[19],"with":[20,82],"non-negative":[21],"components":[22],"and":[23,101,109,119],"utility":[25],"depends":[29],"linearly":[30],"on":[31,155,172,205,223],"its":[32,159,227],"own":[33],"only":[35],"equivalent":[37],"to":[38,61,216],"simultaneous":[40],"competition":[41],"in":[42,89,91,99,115,130,184,192,231],"m":[43,67],"basic":[44,146],"games":[45],"which":[46,131,196,232],"called":[48],"uniform":[50,83,128],"multigame.":[51,244],"The":[52],"can":[58,85,213],"be":[59,62,214],"normalised":[60],"given":[63],"by":[64],"(":[66],"\u2212":[68],"1":[69],")":[70],"-dimensional":[71],"simplex.":[72],"This":[73],"class":[74],"games,":[78],"via":[79],"their":[80],"equivalence":[81],"multigames,":[84],"model":[86],"decision":[87,97,102],"making":[88,98,103],"multi-environments":[90],"variety":[93],"circumstances,":[95],"including":[96],"multi-markets":[100],"when":[104],"there":[105],"are":[106],"both":[107],"material":[108],"social":[110],"utilities":[111],"for":[112,242],"agents":[113,191],"as":[114],"Prisoner\u2019s":[117],"Dilemma":[118],"Trust":[121],"Game.":[122],"that,":[125],"if":[126,198],"multigame":[129],"action":[133,144],"consists":[138],"one":[140],"Nash":[141,153,170,203,221,240],"equilibrium":[142,154,171,204,222,241],"inducing":[143],"per":[145],"has":[148,165],"pure":[150,167,200,218,237],"ex":[151,168,201,219,238],"post":[152,169,202,220,239],"boundary":[157,225],"profile":[161,176,211,229],"space,":[162],"then":[163,179],"it":[164],"whole":[174],"space.":[177],"develop":[180],"an":[181],"algorithm,":[182],"linear":[183],"number":[186],"types":[188],"such":[193],"multigame,":[195],"tests":[197],"vertices":[207],"extended":[215],"case":[233],"we":[234],"obtain":[235]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}