{"id":"https://openalex.org/W4405464770","doi":"https://doi.org/10.1145/3670865.3673473","title":"Nonlinear Fixed Points and Stationarity: Economic Applications","display_name":"Nonlinear Fixed Points and Stationarity: Economic Applications","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4405464770","doi":"https://doi.org/10.1145/3670865.3673473"},"language":"en","primary_location":{"id":"doi:10.1145/3670865.3673473","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670865.3673473","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM Conference on Economics and Computation","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/A5028758597","display_name":"Simone Cerreia\u2010Vioglio","orcid":"https://orcid.org/0000-0001-7383-9139"},"institutions":[{"id":"https://openalex.org/I71209653","display_name":"Bocconi University","ror":"https://ror.org/05crjpb27","country_code":"IT","type":"education","lineage":["https://openalex.org/I71209653"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Simone Cerreia-Vioglio","raw_affiliation_strings":["Bocconi University, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7383-9139","affiliations":[{"raw_affiliation_string":"Bocconi University, Milan, Italy","institution_ids":["https://openalex.org/I71209653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033540422","display_name":"Giacomo Lanzani","orcid":"https://orcid.org/0000-0002-0506-5247"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giacomo Lanzani","raw_affiliation_strings":["Harvard University, Cambridge, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-0506-5247","affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, United States of America","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075813719","display_name":"Roberto Corrao","orcid":"https://orcid.org/0009-0002-9741-9846"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberto Corrao","raw_affiliation_strings":["Yale University, New Haven, USA"],"raw_orcid":"https://orcid.org/0009-0002-9741-9846","affiliations":[{"raw_affiliation_string":"Yale University, New Haven, USA","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028758597"],"corresponding_institution_ids":["https://openalex.org/I71209653"],"apc_list":null,"apc_paid":null,"fwci":3.2452,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.94030721,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"400","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9172000288963318,"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/T12137","display_name":"Economic theories and models","score":0.9172000288963318,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6651365756988525},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.48425671458244324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45523667335510254},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33367836475372314},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3316262364387512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2932692766189575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13619643449783325},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1185489296913147},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09954273700714111}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6651365756988525},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.48425671458244324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45523667335510254},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33367836475372314},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3316262364387512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2932692766189575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13619643449783325},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1185489296913147},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09954273700714111},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3670865.3673473","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670865.3673473","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM Conference on Economics and Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"We":[0,34,73],"consider":[1],"the":[2,52,56,69,78,85,91,94,115,125,135,147,156,160,163,183,192],"fixed":[3,71,80,127],"points":[4],"of":[5,25,93,106,117,124,162,169,176,182,186],"nonlinear":[6,180],"operators":[7],"that":[8,38],"naturally":[9],"arise":[10],"in":[11,23,55,84,166,188,196],"games":[12,172],"and":[13,31,48,61,88,103,152,158,190],"general":[14],"equilibrium":[15,149,193],"models":[16,24],"with":[17,28,100,173],"endogenous":[18,153],"networks,":[19,154,189],"dynamic":[20],"stochastic":[21,171],"games,":[22],"opinion":[26],"dynamics":[27],"stubborn":[29],"agents,":[30],"financial":[32,197],"networks.":[33,198],"study":[35],"limit":[36,70,79,126,148],"cases":[37],"correspond":[39],"to":[40,51,145],"high":[41],"coordination":[42],"motives,":[43],"infinite":[44],"patience,":[45],"vanishing":[46],"stubbornness":[47],"small":[49],"exposure":[50],"real":[53],"sector":[54],"applications":[57],"above.":[58],"Under":[59],"monotonicity":[60],"continuity":[62],"assumptions,":[63],"we":[64,141],"provide":[65],"explicit":[66,102],"expressions":[67],"for":[68],"points.":[72],"show":[74,155],"that,":[75],"under":[76,111],"differentiability,":[77,109],"point":[81,128],"is":[82,119],"linear":[83,104],"initial":[86,136],"conditions":[87],"characterized":[89],"by":[90,121],"Jacobian":[92],"operator":[95],"at":[96,134],"any":[97],"constant":[98],"vector":[99],"an":[101],"rate":[105],"convergence.":[107],"Without":[108],"but":[110],"additional":[112],"concavity":[113],"properties,":[114],"multiplicity":[116],"Jacobians":[118],"resolved":[120],"a":[122,130,167,174,179],"representation":[123],"as":[129],"maxmin":[131],"functional":[132],"evaluated":[133],"conditions.":[137],"In":[138],"our":[139],"applications,":[140],"use":[142],"these":[143],"results":[144],"characterize":[146,191],"actions,":[150,177],"prices,":[151],"existence":[157],"give":[159],"formula":[161],"asymptotic":[164],"value":[165],"class":[168],"zero-sum":[170],"continuum":[175],"compute":[178],"version":[181],"eigenvector":[184],"centrality":[185],"agents":[187],"loss":[194],"evaluations":[195]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}