{"id":"https://openalex.org/W3011348745","doi":"https://doi.org/10.1109/cdc40024.2019.9030066","title":"Stability Analysis of Nash Equilibrium in Loss-Aversion-Based Noncooperative Dynamical Systems","display_name":"Stability Analysis of Nash Equilibrium in Loss-Aversion-Based Noncooperative Dynamical Systems","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011348745","doi":"https://doi.org/10.1109/cdc40024.2019.9030066","mag":"3011348745"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030066","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th 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/A5038302290","display_name":"Yuyue Yan","orcid":"https://orcid.org/0000-0002-5509-4599"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuyue Yan","raw_affiliation_strings":["Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022076155","display_name":"Tomohisa Hayakawa","orcid":"https://orcid.org/0000-0002-8221-2757"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomohisa Hayakawa","raw_affiliation_strings":["Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037326765","display_name":"Nutthanun Thanomvajamun","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nutthanun Thanomvajamun","raw_affiliation_strings":["Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of System and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038302290"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.8785,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77688436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3122","last_page":"3127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9977999925613403,"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/T12137","display_name":"Economic theories and models","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8096288442611694},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5510615706443787},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.46869397163391113},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4479215443134308},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.44704675674438477},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4400365948677063},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4138440191745758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3867281675338745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35933077335357666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.343369722366333},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.3155215382575989},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12414586544036865}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8096288442611694},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5510615706443787},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.46869397163391113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4479215443134308},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.44704675674438477},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4400365948677063},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4138440191745758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3867281675338745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35933077335357666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.343369722366333},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3155215382575989},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12414586544036865},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030066","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1976110527","https://openalex.org/W1995158831","https://openalex.org/W2037489024","https://openalex.org/W2041946752","https://openalex.org/W2093123841","https://openalex.org/W2113702258","https://openalex.org/W2132629488","https://openalex.org/W2157996532","https://openalex.org/W2343282543","https://openalex.org/W2594542943","https://openalex.org/W2611964096","https://openalex.org/W2767232757","https://openalex.org/W2962910407","https://openalex.org/W2972632642","https://openalex.org/W3011865677","https://openalex.org/W3104002866","https://openalex.org/W3125388642","https://openalex.org/W6745117154"],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W2092374696","https://openalex.org/W4315489088","https://openalex.org/W2013767790","https://openalex.org/W2481143976","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W1667857601","https://openalex.org/W2803932348","https://openalex.org/W1976009178"],"abstract_inverted_index":{"In":[0,26],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,27,40,50,57,67,82,94],"stability":[6,51],"problem":[7],"of":[8,42,56,69,96],"Nash":[9,83],"equilibrium":[10,84],"for":[11,39],"a":[12,89],"two-agent":[13],"noncooperative":[14,29],"dynamical":[15,30],"system":[16],"with":[17],"hybrid":[18],"myopic":[19],"pseudo-gradient":[20],"dynamics":[21],"based":[22],"on":[23,66],"loss-aversion":[24],"phenomena.":[25],"considered":[28],"system,":[31],"each":[32],"agent":[33],"adopts":[34],"different":[35],"constant":[36],"sensitivity":[37],"parameters":[38],"case":[41],"losing":[43],"utilities":[44],"and":[45,60],"gaining":[46],"utilities.":[47],"To":[48],"characterize":[49],"property,":[52],"some":[53],"general":[54],"characteristics":[55],"active":[58],"modes":[59],"rotational":[61],"directions":[62],"are":[63,85],"discussed.":[64],"Based":[65],"integral":[68],"normalized":[70],"radial":[71],"growth":[72],"rate,":[73],"sufficient":[74],"conditions":[75],"under":[76],"which":[77],"agents'":[78],"state":[79],"converges":[80],"towards":[81],"derived.":[86],"We":[87],"present":[88],"numerical":[90],"example":[91],"to":[92],"illustrate":[93],"efficacy":[95],"our":[97],"results.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
