{"id":"https://openalex.org/W2783975558","doi":"https://doi.org/10.1109/cdc.2017.8263756","title":"On the nonexistence of stationary solutions in bio-inspired collective decision making via mean-field game","display_name":"On the nonexistence of stationary solutions in bio-inspired collective decision making via mean-field game","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2783975558","doi":"https://doi.org/10.1109/cdc.2017.8263756","mag":"2783975558"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8263756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5038355992","display_name":"Leonardo Stella","orcid":"https://orcid.org/0000-0002-2670-9873"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Leonardo Stella","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, The University of Sheffield, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, The University of Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002526485","display_name":"Dario Bauso","orcid":"https://orcid.org/0000-0001-9713-677X"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Dario Bauso","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, The University of Sheffield, United Kingdom","Dipartimento di Ingegneria Chimica, Universit\u00e1 di Palermo, Palermo, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, The University of Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Chimica, Universit\u00e1 di Palermo, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038355992"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":0.3421,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64514804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"787","last_page":"792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"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/limit","display_name":"Limit (mathematics)","score":0.7164234519004822},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6171036958694458},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.516511857509613},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48966270685195923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4590306580066681},{"id":"https://openalex.org/keywords/stationary-state","display_name":"Stationary state","score":0.4472198188304901},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4434537887573242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43511727452278137},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3939012885093689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3815591037273407},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3675524592399597},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3502787947654724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21072635054588318},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16400259733200073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13663625717163086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13436782360076904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0831911563873291}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7164234519004822},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6171036958694458},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.516511857509613},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48966270685195923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4590306580066681},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.4472198188304901},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4434537887573242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43511727452278137},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3939012885093689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3815591037273407},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3675524592399597},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3502787947654724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21072635054588318},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16400259733200073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13663625717163086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13436782360076904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0831911563873291},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2017.8263756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:derby.openrepository.com:10545/624660","is_oa":false,"landing_page_url":"http://hdl.handle.net/10545/624660","pdf_url":null,"source":{"id":"https://openalex.org/S4306402138","display_name":"University of Derby Online Research Archive. (University of Derby)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I22128151","host_organization_name":"University of Derby","host_organization_lineage":["https://openalex.org/I22128151"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"Meetings and Proceedings"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/cc14cb21-485e-4cce-84cb-173a47ac800b","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/cc14cb21-485e-4cce-84cb-173a47ac800b","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Stella, L & Bauso, D 2018, On the nonexistence of stationary solutions in bio-inspired collective decision making via mean-field game. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. https://doi.org/10.1109/CDC.2017.8263756","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1023560205","https://openalex.org/W1576577548","https://openalex.org/W1808956822","https://openalex.org/W1978242753","https://openalex.org/W1983321045","https://openalex.org/W1986431940","https://openalex.org/W1988476558","https://openalex.org/W1997001104","https://openalex.org/W2011000015","https://openalex.org/W2011435133","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2048308882","https://openalex.org/W2057470999","https://openalex.org/W2127754538","https://openalex.org/W2128458231","https://openalex.org/W2132241089","https://openalex.org/W2146662761","https://openalex.org/W2173375035","https://openalex.org/W2344053667","https://openalex.org/W2559831931","https://openalex.org/W2736475564","https://openalex.org/W2765807117","https://openalex.org/W3103922228","https://openalex.org/W6634723149","https://openalex.org/W6638427206","https://openalex.org/W6641893872","https://openalex.org/W6679723688"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W4248382324","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W3023605104","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W2383578611","https://openalex.org/W2987583674"],"abstract_inverted_index":{"Conditions":[0],"for":[1],"nonexistence":[2,143],"of":[3,57,93,124,144],"stationary":[4,145],"solutions":[5],"in":[6,24,37,48],"collective":[7,39],"decision":[8,36],"making":[9],"are":[10],"investigated":[11],"via":[12],"discrete-state":[13],"continuous-time":[14],"mean-field":[15],"games.":[16],"The":[17,27,68,97],"study":[18],"builds":[19],"on":[20,72,104],"a":[21,38,88,102,107,111,132],"bio-inspired":[22],"model":[23,69],"honeybee":[25,49],"swarms.":[26],"ultimate":[28],"goal":[29],"is":[30,51,70,138],"to":[31,53,84,86,99,140],"find":[32],"the":[33,45,73,91,117,121,125,142],"best":[34],"alternative":[35],"fashion.":[40],"A":[41],"cross-inhibition":[42],"signal,":[43],"as":[44,120],"one":[46,82,127],"observed":[47],"swarms,":[50],"used":[52,139],"capture":[54],"different":[55],"types":[56],"failures,":[58],"including":[59],"disrupted":[60],"communication":[61],"channels,":[62],"computational":[63],"errors":[64],"or":[65],"malevolent":[66],"behaviour.":[67],"based":[71],"hypotheses":[74],"that":[75,116],"players":[76],"control":[77,105],"their":[78],"transition":[79],"rates":[80],"from":[81],"state":[83],"another":[85],"minimise":[87,100],"cost,":[89],"under":[90,147],"presence":[92],"an":[94],"adversarial":[95],"disturbance.":[96],"cost":[98],"involves":[101],"penalty":[103],"and":[106],"congestion-dependent":[108],"term.":[109],"As":[110],"main":[112],"result,":[113],"we":[114],"prove":[115,141],"solution":[118,146],"obtained":[119],"asymptotic":[122],"limit":[123],"nonstationary":[126],"can":[128],"be":[129],"approximated":[130],"by":[131],"closed":[133],"orbit":[134],"trajectory.":[135],"This":[136],"argument":[137],"certain":[148],"conditions.":[149]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
