{"id":"https://openalex.org/W3001932519","doi":"https://doi.org/10.1017/s0269888920000351","title":"A utility-based analysis of equilibria in multi-objective normal-form games","display_name":"A utility-based analysis of equilibria in multi-objective normal-form games","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3001932519","doi":"https://doi.org/10.1017/s0269888920000351","mag":"3001932519"},"language":"en","primary_location":{"id":"doi:10.1017/s0269888920000351","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0269888920000351","pdf_url":null,"source":{"id":"https://openalex.org/S137506714","display_name":"The Knowledge Engineering Review","issn_l":"0269-8889","issn":["0269-8889","1469-8005"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Knowledge Engineering Review","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.08177","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Roxana R\u0103dulescu","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Roxana R\u0103dulescu","raw_affiliation_strings":["Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Patrick Mannion","orcid":"https://orcid.org/0000-0002-7951-878X"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Patrick Mannion","raw_affiliation_strings":["School of Computer Science, National University of Ireland Galway, GalwayH91 TK33, Ireland, e-mail:"],"raw_orcid":"https://orcid.org/0000-0002-7951-878X","affiliations":[{"raw_affiliation_string":"School of Computer Science, National University of Ireland Galway, GalwayH91 TK33, Ireland, e-mail:","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yijie Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Yijie Zhang","raw_affiliation_strings":["Universiteit van Amsterdam, Amsterdam, The Netherlands, e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universiteit van Amsterdam, Amsterdam, The Netherlands, e-mail:","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Diederik M. Roijers","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I173063890","display_name":"University of Applied Sciences Utrecht","ror":"https://ror.org/028z9kw20","country_code":"NL","type":"education","lineage":["https://openalex.org/I173063890"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Diederik M. Roijers","raw_affiliation_strings":["Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:","Microsystems Technology, HU University of Applied Sciences Utrecht, Heidelberglaan 15, 3584CSUtrecht, The Netherlands, e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Microsystems Technology, HU University of Applied Sciences Utrecht, Heidelberglaan 15, 3584CSUtrecht, The Netherlands, e-mail:","institution_ids":["https://openalex.org/I173063890"]}]},{"author_position":"last","author":{"id":null,"display_name":"Ann Now\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ann Now\u00e9","raw_affiliation_strings":["Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, Brussels1050, Belgium, e-mails:","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I13469542"],"apc_list":null,"apc_paid":null,"fwci":1.487,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83451408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"35","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.24250000715255737,"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":0.24250000715255737,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.16249999403953552,"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":0.10830000042915344,"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/expected-utility-hypothesis","display_name":"Expected utility hypothesis","score":0.5547999739646912},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5116000175476074},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.5095000267028809},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4025000035762787},{"id":"https://openalex.org/keywords/utility-theory","display_name":"Utility theory","score":0.3935000002384186},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3781999945640564},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.3752000033855438}],"concepts":[{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.5547999739646912},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5116000175476074},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.5095000267028809},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5081999897956848},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.48969998955726624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40380001068115234},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4025000035762787},{"id":"https://openalex.org/C2983295151","wikidata":"https://www.wikidata.org/wiki/Q466707","display_name":"Utility theory","level":2,"score":0.3935000002384186},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3752000033855438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3562000095844269},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C81302675","wikidata":"https://www.wikidata.org/wiki/Q7834034","display_name":"Transferable utility","level":3,"score":0.289900004863739},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.27489998936653137},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.271699994802475},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.2653000056743622}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0269888920000351","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0269888920000351","pdf_url":null,"source":{"id":"https://openalex.org/S137506714","display_name":"The Knowledge Engineering Review","issn_l":"0269-8889","issn":["0269-8889","1469-8005"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Knowledge Engineering Review","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.08177","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.08177","pdf_url":"https://arxiv.org/pdf/2001.08177","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.08177","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.08177","pdf_url":"https://arxiv.org/pdf/2001.08177","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W79422595","https://openalex.org/W119236796","https://openalex.org/W1982813377","https://openalex.org/W1997147068","https://openalex.org/W2001773141","https://openalex.org/W2012612381","https://openalex.org/W2020845789","https://openalex.org/W2053488431","https://openalex.org/W2070214254","https://openalex.org/W2070285802","https://openalex.org/W2102660061","https://openalex.org/W2112794046","https://openalex.org/W2118929276","https://openalex.org/W2135730283","https://openalex.org/W2186820913","https://openalex.org/W2460820120","https://openalex.org/W2516220549","https://openalex.org/W2553462639","https://openalex.org/W2560398012","https://openalex.org/W2578462029","https://openalex.org/W2606733399","https://openalex.org/W2621191093","https://openalex.org/W2625366419","https://openalex.org/W2758640257","https://openalex.org/W2788517538","https://openalex.org/W2902922568","https://openalex.org/W2907052818","https://openalex.org/W2937618916","https://openalex.org/W2971634072","https://openalex.org/W2975703112","https://openalex.org/W3037942570","https://openalex.org/W3084824572","https://openalex.org/W3132265532","https://openalex.org/W4234761190","https://openalex.org/W4362515438","https://openalex.org/W6644168284","https://openalex.org/W6662273689","https://openalex.org/W6679342194","https://openalex.org/W6680141378","https://openalex.org/W6681692701","https://openalex.org/W6688878001","https://openalex.org/W6701386954","https://openalex.org/W6728073343","https://openalex.org/W6813096674"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1,81],"multi-objective":[2,96],"multi-agent":[3],"systems":[4],"(MOMASs),":[5],"agents":[6,68],"explicitly":[7],"consider":[8],"the":[9,29,32,39,86,93,103,114],"possible":[10],"trade-offs":[11],"between":[12,20,88],"conflicting":[13],"objective":[14],"functions.":[15],"We":[16,100],"argue":[17],"that":[18,34,102],"compromises":[19,36],"competing":[21],"objectives":[22],"in":[23,69,118],"MOMAS":[24],"should":[25],"be":[26],"analyzed":[27],"on":[28],"basis":[30],"of":[31,41,95,105,116],"utility":[33,47,55,123],"these":[35,89],"have":[37],"for":[38,67],"users":[40],"a":[42,70,119],"system,":[43],"where":[44],"an":[45],"agent\u2019s":[46],"function":[48],"maps":[49],"their":[50],"payoff":[51],"vectors":[52],"to":[53,62],"scalar":[54],"values.":[56],"This":[57],"utility-based":[58],"approach":[59],"naturally":[60],"leads":[61],"two":[63,90],"different":[64],"optimization":[65,106],"criteria":[66,91],"MOMAS:":[71],"expected":[72,78],"scalarized":[73,77],"returns":[74,79],"(ESRs)":[75],"and":[76],"(SERs).":[80],"this":[82],"article,":[83],"we":[84],"explore":[85],"differences":[87],"using":[92],"framework":[94],"normal-form":[97],"games":[98],"(MONFGs).":[99],"demonstrate":[101],"choice":[104],"criterion":[107],"(ESR":[108],"or":[109],"SER)":[110],"can":[111],"radically":[112],"alter":[113],"set":[115],"equilibria":[117],"MONFG":[120],"when":[121],"nonlinear":[122],"functions":[124],"are":[125],"used.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-01-30T00:00:00"}