{"id":"https://openalex.org/W2791319380","doi":"https://doi.org/10.1007/s13235-018-0253-y","title":"Approximation of Discounted Minimax Markov Control Problems and Zero-Sum Markov Games Using Hausdorff and Wasserstein Distances","display_name":"Approximation of Discounted Minimax Markov Control Problems and Zero-Sum Markov Games Using Hausdorff and Wasserstein Distances","publication_year":2018,"publication_date":"2018-03-19","ids":{"openalex":"https://openalex.org/W2791319380","doi":"https://doi.org/10.1007/s13235-018-0253-y","mag":"2791319380"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-018-0253-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-0253-y","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-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/A5052608804","display_name":"Fran\u00e7ois Dufour","orcid":"https://orcid.org/0000-0001-6653-2024"},"institutions":[{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Dufour","raw_affiliation_strings":["Institut Polytechnique de Bordeaux, INRIA Bordeaux Sud Ouest, Team: CQFD and IMB, Institut de Math\u00e9matiques de Bordeaux, Universit\u00e9 de Bordeaux, Bordeaux, France","Bordeaux INP - Institut Polytechnique de Bordeaux (Avenue des facult\u00e9s\r\n33405 Talence - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","CQFD - Quality control and dynamic reliability (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)"],"affiliations":[{"raw_affiliation_string":"Institut Polytechnique de Bordeaux, INRIA Bordeaux Sud Ouest, Team: CQFD and IMB, Institut de Math\u00e9matiques de Bordeaux, Universit\u00e9 de Bordeaux, Bordeaux, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Bordeaux INP - Institut Polytechnique de Bordeaux (Avenue des facult\u00e9s\r\n33405 Talence - France)","institution_ids":["https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"CQFD - Quality control and dynamic reliability (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002012512","display_name":"Tom\u00e1s Prieto-Rumeau","orcid":"https://orcid.org/0000-0003-4677-4725"},"institutions":[{"id":"https://openalex.org/I178450904","display_name":"National University of Distance Education","ror":"https://ror.org/02msb5n36","country_code":"ES","type":"education","lineage":["https://openalex.org/I178450904"]},{"id":"https://openalex.org/I3130757197","display_name":"Distance State University","ror":"https://ror.org/0529rbt18","country_code":"CR","type":"education","lineage":["https://openalex.org/I3130757197"]}],"countries":["CR","ES"],"is_corresponding":false,"raw_author_name":"Tom\u00e1s Prieto-Rumeau","raw_affiliation_strings":["Statistics Department, UNED, Madrid, Spain","UNED - Universidad Estatal a Distancia (San Jos\u00e9 - Costa Rica)"],"affiliations":[{"raw_affiliation_string":"Statistics Department, UNED, Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]},{"raw_affiliation_string":"UNED - Universidad Estatal a Distancia (San Jos\u00e9 - Costa Rica)","institution_ids":["https://openalex.org/I3130757197"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052608804"],"corresponding_institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I4210166017"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02595782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":"1","first_page":"68","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9869999885559082,"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"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9869999885559082,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.968500018119812,"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"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9681000113487244,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.766735315322876},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6847296953201294},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6312247514724731},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6084750294685364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5933138132095337},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5453800559043884},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.5089235305786133},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.46808061003685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4632139801979065},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.3854004144668579},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.2759856879711151},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.13156476616859436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0853981077671051}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.766735315322876},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6847296953201294},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6312247514724731},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6084750294685364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5933138132095337},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5453800559043884},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.5089235305786133},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.46808061003685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4632139801979065},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3854004144668579},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2759856879711151},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.13156476616859436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0853981077671051},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s13235-018-0253-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-0253-y","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01953983v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01953983","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dynamic Games and Applications, 2019, 9 (1), pp.68-102. &#x27E8;10.1007/s13235-018-0253-y&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:dyngam:v:9:y:2019:i:1:d:10.1007_s13235-018-0253-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-018-0253-y","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,"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":"article"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/193060","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/193060","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/9542","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/9542","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6080721051","display_name":null,"funder_award_id":"MTM2016-75497-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W125715901","https://openalex.org/W1496590343","https://openalex.org/W1576452626","https://openalex.org/W1926315638","https://openalex.org/W1978966474","https://openalex.org/W1992306408","https://openalex.org/W1998246154","https://openalex.org/W2010654234","https://openalex.org/W2011519669","https://openalex.org/W2017419329","https://openalex.org/W2018312770","https://openalex.org/W2040225235","https://openalex.org/W2047355698","https://openalex.org/W2071754605","https://openalex.org/W2074999860","https://openalex.org/W2100857832","https://openalex.org/W2414220426","https://openalex.org/W2487144912","https://openalex.org/W2507723477","https://openalex.org/W2578992305","https://openalex.org/W2621122412","https://openalex.org/W2950318382","https://openalex.org/W3125213946","https://openalex.org/W4253577938","https://openalex.org/W4307347247"],"related_works":["https://openalex.org/W1970303738","https://openalex.org/W2315999538","https://openalex.org/W187740018","https://openalex.org/W2162286586","https://openalex.org/W4255368532","https://openalex.org/W2016588739","https://openalex.org/W1995828591","https://openalex.org/W2024318042","https://openalex.org/W2287562064","https://openalex.org/W2019735591"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
