{"id":"https://openalex.org/W4313594004","doi":"https://doi.org/10.1016/j.ijar.2022.12.015","title":"Nonlinear desirability theory","display_name":"Nonlinear desirability theory","publication_year":2023,"publication_date":"2023-01-04","ids":{"openalex":"https://openalex.org/W4313594004","doi":"https://doi.org/10.1016/j.ijar.2022.12.015"},"language":"en","primary_location":{"id":"doi:10.1016/j.ijar.2022.12.015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2022.12.015","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ijar.2022.12.015","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025386662","display_name":"Enrique Miranda","orcid":"https://orcid.org/0000-0001-7763-3779"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Enrique Miranda","raw_affiliation_strings":["University of Oviedo, Dep. of Statistics and Operations Research, Spain"],"affiliations":[{"raw_affiliation_string":"University of Oviedo, Dep. of Statistics and Operations Research, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007403791","display_name":"Marco Zaffalon","orcid":"https://orcid.org/0000-0001-8908-1502"},"institutions":[{"id":"https://openalex.org/I2614128279","display_name":"Dalle Molle Institute for Artificial Intelligence Research","ror":"https://ror.org/013355g38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I15196421","https://openalex.org/I2614128279","https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marco Zaffalon","raw_affiliation_strings":["IDSIA, Switzerland"],"affiliations":[{"raw_affiliation_string":"IDSIA, Switzerland","institution_ids":["https://openalex.org/I2614128279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025386662"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":{"value":2960,"currency":"USD","value_usd":2960},"fwci":0.9855,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70702006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"154","issue":null,"first_page":"176","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/T12137","display_name":"Economic theories and models","score":0.9815999865531921,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7855191230773926},{"id":"https://openalex.org/keywords/expected-utility-hypothesis","display_name":"Expected utility hypothesis","score":0.6477820873260498},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.5681198239326477},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.533386766910553},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.49619847536087036},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.49039340019226074},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4491000473499298},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.44617632031440735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.442581444978714},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4396045207977295},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3808192312717438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2845989167690277},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07859081029891968}],"concepts":[{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7855191230773926},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.6477820873260498},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.5681198239326477},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.533386766910553},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.49619847536087036},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49039340019226074},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4491000473499298},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.44617632031440735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.442581444978714},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4396045207977295},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3808192312717438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2845989167690277},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07859081029891968},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ijar.2022.12.015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2022.12.015","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ijar.2022.12.015","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2022.12.015","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G6541450176","display_name":null,"funder_award_id":"PGC2018-098623-B-I00","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W43376171","https://openalex.org/W352468308","https://openalex.org/W932641379","https://openalex.org/W1569149338","https://openalex.org/W1578800471","https://openalex.org/W1844548710","https://openalex.org/W1882044428","https://openalex.org/W1989356645","https://openalex.org/W1992651491","https://openalex.org/W1997012965","https://openalex.org/W1998532195","https://openalex.org/W1998820820","https://openalex.org/W2003996846","https://openalex.org/W2036376268","https://openalex.org/W2040689732","https://openalex.org/W2041946752","https://openalex.org/W2059281426","https://openalex.org/W2060907774","https://openalex.org/W2067477904","https://openalex.org/W2069045459","https://openalex.org/W2093830381","https://openalex.org/W2101413186","https://openalex.org/W2115105096","https://openalex.org/W2122522863","https://openalex.org/W2145964516","https://openalex.org/W2154367906","https://openalex.org/W2154587083","https://openalex.org/W2164596421","https://openalex.org/W2275551473","https://openalex.org/W2333311386","https://openalex.org/W2413191152","https://openalex.org/W2579575115","https://openalex.org/W2796971335","https://openalex.org/W2899838145","https://openalex.org/W2905591380","https://openalex.org/W3011865677","https://openalex.org/W3123340889","https://openalex.org/W3123584777","https://openalex.org/W3153687003","https://openalex.org/W3159819067","https://openalex.org/W3202199382","https://openalex.org/W4210427261","https://openalex.org/W4239966440","https://openalex.org/W4300774185","https://openalex.org/W4302365272","https://openalex.org/W6642152887","https://openalex.org/W6678011352","https://openalex.org/W6801608145","https://openalex.org/W6824853815"],"related_works":["https://openalex.org/W2063538022","https://openalex.org/W4233205444","https://openalex.org/W3139884056","https://openalex.org/W2375069121","https://openalex.org/W3124938477","https://openalex.org/W2361936046","https://openalex.org/W3144108786","https://openalex.org/W65178988","https://openalex.org/W2374092556","https://openalex.org/W2006892906"],"abstract_inverted_index":{"Desirability":[0],"can":[1],"be":[2,110],"understood":[3],"as":[4,90],"an":[5,25],"extension":[6],"of":[7,16,22,27,29,55,82,146,154,156,159,182,184],"Anscombe":[8],"and":[9,158,162,178],"Aumann's":[10],"Bayesian":[11],"decision":[12,57],"theory":[13,119,149],"to":[14,43,98,101,138],"sets":[15,155,183],"expected":[17,46],"utilities.":[18],"At":[19],"the":[20,30,45,76,80,102,107,135,143,147,152,175,180,187],"core":[21],"desirability":[23,89,100],"lies":[24],"assumption":[26,41],"linearity":[28],"scale":[31,78,109],"in":[32,62,67,123,129,174,186],"which":[33,49],"rewards":[34,122],"are":[35],"measured.":[36],"It":[37],"is":[38],"a":[39,52,83,91,113,139,172],"traditional":[40],"used":[42],"derive":[44],"utility":[47,77,108],"model,":[48],"clashes":[50],"with":[51,69],"general":[53,114],"representation":[54],"rational":[56],"making,":[58],"though.":[59],"Allais":[60,169],"has,":[61],"particular,":[63],"pointed":[64],"this":[65],"out":[66],"1953":[68],"his":[70],"famous":[71],"paradox.":[72],"We":[73,141,166],"note":[74],"that":[75],"plays":[79],"role":[81,181],"closure":[84,115],"operator":[85],"when":[86],"we":[87],"regard":[88],"logical":[92],"theory.":[93,188],"This":[94],"observation":[95],"enables":[96],"us":[97],"extend":[99],"nonlinear":[103,125],"case":[104],"by":[105],"letting":[106],"represented":[111],"via":[112],"operator.":[116],"The":[117],"new":[118,148,176],"directly":[120],"expresses":[121],"actual":[124],"currency":[126],"(money),":[127],"much":[128],"Savage's":[130],"spirit,":[131],"while":[132],"arguably":[133],"weakening":[134],"founding":[136],"assumptions":[137],"minimum.":[140],"characterise":[142],"main":[144],"properties":[145],"both":[150],"from":[151],"perspective":[153],"gambles":[157],"their":[160],"lower":[161],"upper":[163],"prices":[164],"(previsions).":[165],"show":[167],"how":[168],"paradox":[170],"finds":[171],"solution":[173],"theory,":[177],"discuss":[179],"probabilities":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}