{"id":"https://openalex.org/W2936734324","doi":"https://doi.org/10.1287/moor.2020.1086","title":"Stochastic Comparative Statics in Markov Decision Processes","display_name":"Stochastic Comparative Statics in Markov Decision Processes","publication_year":2021,"publication_date":"2021-02-05","ids":{"openalex":"https://openalex.org/W2936734324","doi":"https://doi.org/10.1287/moor.2020.1086","mag":"2936734324"},"language":"en","primary_location":{"id":"doi:10.1287/moor.2020.1086","doi":"https://doi.org/10.1287/moor.2020.1086","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2020.1086","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.05481","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081397806","display_name":"Bar Light","orcid":"https://orcid.org/0000-0002-6123-7568","observed_orcids":["https://orcid.org/0000-0002-6123-7568"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bar Light","raw_affiliation_strings":["Graduate School of Business, Stanford University, Stanford, California 94305","Stanford University ()"],"raw_orcid":"https://orcid.org/0000-0002-6123-7568","affiliations":[{"raw_affiliation_string":"Graduate School of Business, Stanford University, Stanford, California 94305","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University ()","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081397806"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":0.2818,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.44930825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"46","issue":"2","first_page":"797","last_page":"810"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8798999786376953,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8798999786376953,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11976","display_name":"Capital Investment and Risk Analysis","score":0.024299999698996544,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T13500","display_name":"Probability and Statistical Research","score":0.012400000356137753,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.9909999966621399},{"id":"https://openalex.org/keywords/discount-factor","display_name":"discount factor","score":0.7580000162124634},{"id":"https://openalex.org/keywords/transition-probabilities","display_name":"transition probabilities","score":0.652999997138977},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"stationary distribution","score":0.7839999794960022},{"id":"https://openalex.org/keywords/investment-theory","display_name":"investment theory","score":0.753000020980835},{"id":"https://openalex.org/keywords/dynamic-pricing","display_name":"dynamic pricing","score":0.9819999933242798}],"concepts":[{"id":"https://openalex.org/C48875124","wikidata":"https://www.wikidata.org/wiki/Q1416996","display_name":"Comparative statics","level":2,"score":0.8345322608947754},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6782476902008057},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5373972654342651},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5221484303474426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5070016384124756},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4767552316188812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4752904176712036},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.45763707160949707},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.44464460015296936},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.44323137402534485},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43852171301841736},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4077204763889313},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.23290154337882996},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08934992551803589},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1287/moor.2020.1086","doi":"https://doi.org/10.1287/moor.2020.1086","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2020.1086","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:arx:papers:1904.05481","doi":null,"is_oa":false,"landing_page_url":"http://arxiv.org/pdf/1904.05481","pdf_url":"http://arxiv.org/pdf/1904.05481","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:arXiv.org:1904.05481","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.05481","pdf_url":"https://arxiv.org/pdf/1904.05481","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":"mag:2936734324","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1904.05481.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"mag:3122451474","doi":null,"is_oa":false,"landing_page_url":"https://econpapers.repec.org/RePEc:arx:papers:1904.05481","pdf_url":null,"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":"RePEc: Research Papers in Economics","raw_type":null},{"id":"doi:10.48550/arxiv.1904.05481","doi":"https://doi.org/10.48550/arxiv.1904.05481","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.05481","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.05481","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.05481","pdf_url":"https://arxiv.org/pdf/1904.05481","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2936734324.pdf","grobid_xml":"https://content.openalex.org/works/W2936734324.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W163688550","https://openalex.org/W389907844","https://openalex.org/W966963313","https://openalex.org/W1482326515","https://openalex.org/W1508957056","https://openalex.org/W1529558080","https://openalex.org/W1535737899","https://openalex.org/W1580205001","https://openalex.org/W1770161726","https://openalex.org/W1822606334","https://openalex.org/W1964028581","https://openalex.org/W1983941522","https://openalex.org/W2005291207","https://openalex.org/W2006781871","https://openalex.org/W2009460320","https://openalex.org/W2009543467","https://openalex.org/W2015551763","https://openalex.org/W2017299421","https://openalex.org/W2045665199","https://openalex.org/W2052061842","https://openalex.org/W2068466946","https://openalex.org/W2072282266","https://openalex.org/W2077867009","https://openalex.org/W2082607057","https://openalex.org/W2096218604","https://openalex.org/W2097801309","https://openalex.org/W2099414528","https://openalex.org/W2102351835","https://openalex.org/W2119567691","https://openalex.org/W2124661501","https://openalex.org/W2126640070","https://openalex.org/W2128754415","https://openalex.org/W2140424879","https://openalex.org/W2145168954","https://openalex.org/W2154459378","https://openalex.org/W2161413792","https://openalex.org/W2165644904","https://openalex.org/W2167286975","https://openalex.org/W2278728485","https://openalex.org/W2625402970","https://openalex.org/W2780231974","https://openalex.org/W2798737326","https://openalex.org/W2883267212","https://openalex.org/W2904839343","https://openalex.org/W2941534487","https://openalex.org/W2975849384","https://openalex.org/W3122652848","https://openalex.org/W3123317266","https://openalex.org/W3124237635","https://openalex.org/W3125327127","https://openalex.org/W4239466562","https://openalex.org/W4245777296","https://openalex.org/W4251081320"],"related_works":["https://openalex.org/W1590931850","https://openalex.org/W4292913013","https://openalex.org/W288851375","https://openalex.org/W2097801309","https://openalex.org/W2096332174","https://openalex.org/W7098787484","https://openalex.org/W4247167041","https://openalex.org/W4302393028","https://openalex.org/W4391800669","https://openalex.org/W2414464760"],"abstract_inverted_index":{"In":[0],"multiperiod":[1],"stochastic":[2,53,63],"optimization":[3,21,40],"problems,":[4],"the":[5,17,20,26,38,43,69,81,85,88,92,95,107],"future":[6,72],"optimal":[7,73],"decision":[8,47],"is":[9],"a":[10,35],"random":[11,31,120],"variable":[12,32],"whose":[13],"distribution":[14],"depends":[15],"on":[16],"parameters":[18,41],"of":[19,29,37,45,91,124],"problem.":[22],"I":[23,49,56,99],"analyze":[24],"how":[25,68],"expected":[27],"value":[28],"this":[30,51],"changes":[33,79],"as":[34],"function":[36],"dynamic":[39,116],"in":[42,76,80],"context":[44],"Markov":[46],"processes.":[48],"call":[50],"analysis":[52],"comparative":[54,59,64],"statics.":[55],"derive":[57],"both":[58],"statics":[60,65],"results":[61,66,102],"and":[62,71,94,109,122],"showing":[67],"current":[70],"decisions":[74],"change":[75],"response":[77],"to":[78,103],"single-period":[82],"payoff":[83],"function,":[84],"discount":[86],"factor,":[87],"initial":[89],"state":[90],"system,":[93],"transition":[96],"probability":[97],"function.":[98],"apply":[100],"my":[101],"various":[104],"models":[105],"from":[106],"economics":[108],"operations":[110],"research":[111],"literature,":[112],"including":[113],"investment":[114],"theory,":[115],"pricing":[117],"models,":[118],"controlled":[119],"walks,":[121],"comparisons":[123],"stationary":[125],"distributions.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2019-04-25T00:00:00"}
