{"id":"https://openalex.org/W2203723949","doi":"https://doi.org/10.22004/ag.econ.200371","title":"Minimal conditions for parametric continuity of a utility representation","display_name":"Minimal conditions for parametric continuity of a utility representation","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2203723949","doi":"https://doi.org/10.22004/ag.econ.200371","mag":"2203723949"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1505.02847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.02847","pdf_url":"https://arxiv.org/pdf/1505.02847","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.02847","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102739735","display_name":"Patrick H. O\u2019Callaghan","orcid":"https://orcid.org/0000-0003-0606-5465","observed_orcids":["https://orcid.org/0000-0003-0606-5465"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O'Callaghan, Patrick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"O'Callaghan, Patrick","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O'Callaghan, Patrick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5102739735"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.6880000233650208,"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":0.6880000233650208,"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/T11031","display_name":"Game Theory and Applications","score":0.1582999974489212,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.1039000004529953,"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/parametric-continuity","display_name":"parametric continuity","score":0.8339999914169312},{"id":"https://openalex.org/keywords/utility-representation","display_name":"utility representation","score":0.984000027179718},{"id":"https://openalex.org/keywords/strict-preferences","display_name":"strict preferences","score":0.7239999771118164},{"id":"https://openalex.org/keywords/parameter-space","display_name":"parameter space","score":0.5509999990463257},{"id":"https://openalex.org/keywords/bayesian-games","display_name":"incomplete information games","score":0.8130000233650208},{"id":"https://openalex.org/keywords/psychological-games","display_name":"psychological games","score":0.9729999899864197},{"id":"https://openalex.org/keywords/consumer-choice","display_name":"consumer choice","score":0.6790000200271606},{"id":"https://openalex.org/keywords/reference-dependent-preferences","display_name":"reference-dependent preferences","score":0.9480000138282776},{"id":"https://openalex.org/keywords/joint-continuity","display_name":"joint continuity","score":0.6079999804496765}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.7860198616981506},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6797392964363098},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6665207147598267},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6604692935943604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6098729372024536},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5719837546348572},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5643123388290405},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5578888058662415},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5321969389915466},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.521669864654541},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.49729660153388977},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46150022745132446},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4301978349685669},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.428554505109787},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4185328185558319},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.4119674861431122},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3889763355255127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31235402822494507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20427709817886353},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.135040283203125},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11099764704704285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08397242426872253},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:1505.02847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.02847","pdf_url":"https://arxiv.org/pdf/1505.02847","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"pmh:oai:RePEc:ags:uqsers:200371","doi":null,"is_oa":false,"landing_page_url":"https://ageconsearch.umn.edu/record/200371/files/WPF15_3.pdf","pdf_url":"https://ageconsearch.umn.edu/record/200371/files/WPF15_3.pdf","source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"preprint"},{"id":"pmh:oai:ageconsearch.umn.edu:200371","doi":null,"is_oa":true,"landing_page_url":"http://ageconsearch.umn.edu/record/200371","pdf_url":"http://ageconsearch.umn.edu/record/200371","source":{"id":"https://openalex.org/S4306401616","display_name":"AgEcon Search (University of Minnesota, USA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210120349","host_organization_name":"University of Minnesota Rochester","host_organization_lineage":["https://openalex.org/I4210120349"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ageconsearch.umn.edu/record/200371","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1505.02847","doi":"https://doi.org/10.48550/arxiv.1505.02847","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.02847","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.22004/ag.econ.200371","doi":"https://doi.org/10.22004/ag.econ.200371","is_oa":true,"landing_page_url":"https://doi.org/10.22004/ag.econ.200371","pdf_url":null,"source":{"id":"https://openalex.org/S4306401616","display_name":"AgEcon Search (University of Minnesota, USA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210120349","host_organization_name":"University of Minnesota Rochester","host_organization_lineage":["https://openalex.org/I4210120349"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.02847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.02847","pdf_url":"https://arxiv.org/pdf/1505.02847","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"sustainable_development_goals_aurora":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W24711464","https://openalex.org/W1482462766","https://openalex.org/W1490778550","https://openalex.org/W1501279792","https://openalex.org/W1552582326","https://openalex.org/W1568846557","https://openalex.org/W1596823862","https://openalex.org/W1600549204","https://openalex.org/W1662659233","https://openalex.org/W1995355963","https://openalex.org/W2000177689","https://openalex.org/W2016562424","https://openalex.org/W2025080533","https://openalex.org/W2049344128","https://openalex.org/W2054729167","https://openalex.org/W2072292585","https://openalex.org/W2083216189","https://openalex.org/W2087921221","https://openalex.org/W2121211200","https://openalex.org/W2129462326","https://openalex.org/W2153474751","https://openalex.org/W2163872159","https://openalex.org/W2169131432","https://openalex.org/W2170952248","https://openalex.org/W2322654430","https://openalex.org/W2427881012","https://openalex.org/W2796971335","https://openalex.org/W3122894053"],"related_works":["https://openalex.org/W3100629699","https://openalex.org/W2162877938","https://openalex.org/W2056877098","https://openalex.org/W1566474879","https://openalex.org/W1970838958","https://openalex.org/W2008333538","https://openalex.org/W3125605398","https://openalex.org/W2028391744","https://openalex.org/W3001863585","https://openalex.org/W1999214677"],"abstract_inverted_index":{"Dependence":[0],"on":[1,32],"the":[2,9,33,52,55,75,87,111],"parameter":[3,10,38,53,112],"is":[4,44,48,54,77,114,123],"continuous":[5,79,91],"when":[6],"perturbations":[7],"of":[8,37,59,83,86],"preserves":[11],"strict":[12],"preference":[13],"for":[14,66],"one":[15],"alternative":[16],"over":[17,27],"another.":[18],"We":[19,94],"characterise":[20],"this":[21,96],"property":[22],"via":[23],"a":[24,42,60,90,100,117],"utility":[25],"function":[26],"alternatives":[28,72],"that":[29],"depends":[30],"continuously":[31],"parameter.":[34],"The":[35],"class":[36],"spaces":[39],"where":[40,105],"such":[41],"representation":[43,76],"guaranteed":[45],"to":[46,98,120],"exist":[47],"also":[49],"identified.":[50],"When":[51,71,110],"type":[56],"or":[57],"belief":[58],"player,":[61],"these":[62],"results":[63],"have":[64],"implications":[65],"Bayesian":[67],"and":[68,80],"psychological":[69],"games.":[70],"are":[73,107],"discrete,":[74],"jointly":[78],"an":[81],"extension":[82],"Berge's":[84],"theorem":[85],"maximum":[88],"yields":[89],"value":[92],"function.":[93],"apply":[95],"result":[97],"generalise":[99],"standard":[101],"consumer":[102],"choice":[103],"problem":[104],"parameters":[106],"price-wealth":[108],"vectors.":[109],"space":[113],"lexicographically":[115],"ordered,":[116],"novel":[118],"application":[119],"reference-dependent":[121],"preferences":[122],"possible.":[124]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}