{"id":"https://openalex.org/W2913245605","doi":"https://doi.org/10.1007/s13235-018-00293-w","title":"Zero-Sum Stochastic Games over the Field of Real Algebraic Numbers","display_name":"Zero-Sum Stochastic Games over the Field of Real Algebraic Numbers","publication_year":2019,"publication_date":"2019-01-25","ids":{"openalex":"https://openalex.org/W2913245605","doi":"https://doi.org/10.1007/s13235-018-00293-w","mag":"2913245605"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-018-00293-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-00293-w","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-02413402","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053557735","display_name":"Konstantin Avrachenkov","orcid":"https://orcid.org/0000-0002-8124-8272"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"K. Avrachenkov","raw_affiliation_strings":["Inria Sophia Antipolis, Biot, France","NEO - Network Engineering and Operations (2004 route des Lucioles BP 93 06902 Sophia Antipolis - France)"],"raw_orcid":"https://orcid.org/0000-0002-8124-8272","affiliations":[{"raw_affiliation_string":"Inria Sophia Antipolis, Biot, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"NEO - Network Engineering and Operations (2004 route des Lucioles BP 93 06902 Sophia Antipolis - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069335456","display_name":"Vladimir Ejov","orcid":"https://orcid.org/0000-0002-5582-2859"},"institutions":[{"id":"https://openalex.org/I169541294","display_name":"Flinders University","ror":"https://ror.org/01kpzv902","country_code":"AU","type":"education","lineage":["https://openalex.org/I169541294"]},{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["AU","RU"],"is_corresponding":false,"raw_author_name":"V. Ejov","raw_affiliation_strings":["College of Science and Engineering, Flinders University of South Australia, Bedford Park, SA, 5042, Australia","Faculty of Mechanics and Mathematics, MSU, GSP-1, 1 Leninskiye Gory, Moscow, Russia, 119991","Flinders University [Adelaide, Australia] (GPO Box 2100, Adelaide 5001, South Australia - Australia)","Faculty of Mechanics and Mathematics, Moscow State University, Moscow (Russia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science and Engineering, Flinders University of South Australia, Bedford Park, SA, 5042, Australia","institution_ids":["https://openalex.org/I169541294"]},{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, MSU, GSP-1, 1 Leninskiye Gory, Moscow, Russia, 119991","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Flinders University [Adelaide, Australia] (GPO Box 2100, Adelaide 5001, South Australia - Australia)","institution_ids":["https://openalex.org/I169541294"]},{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, Moscow State University, Moscow (Russia)","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090477818","display_name":"Jerzy A. Filar","orcid":"https://orcid.org/0000-0001-5587-2541"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. A. Filar","raw_affiliation_strings":["Centre for Applications in Natural Resource Mathematics, School of Mathematics and Physics, The University of Queensland, St Lucia, QLD, 4072, Australia","UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland (Brisbane, St Lucia, QLD 4072 - Australia)"],"raw_orcid":"https://orcid.org/0000-0001-5587-2541","affiliations":[{"raw_affiliation_string":"Centre for Applications in Natural Resource Mathematics, School of Mathematics and Physics, The University of Queensland, St Lucia, QLD, 4072, Australia","institution_ids":["https://openalex.org/I165143802"]},{"raw_affiliation_string":"UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland (Brisbane, St Lucia, QLD 4072 - Australia)","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015943577","display_name":"A. Moghaddam","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"A. Moghaddam","raw_affiliation_strings":["Centre for Applications in Natural Resource Mathematics, School of Mathematics and Physics, The University of Queensland, St Lucia, QLD, 4072, Australia","UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland (Brisbane, St Lucia, QLD 4072 - Australia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Applications in Natural Resource Mathematics, School of Mathematics and Physics, The University of Queensland, St Lucia, QLD, 4072, Australia","institution_ids":["https://openalex.org/I165143802"]},{"raw_affiliation_string":"UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland (Brisbane, St Lucia, QLD 4072 - Australia)","institution_ids":["https://openalex.org/I165143802"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053557735"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01461604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"4","first_page":"1026","last_page":"1041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9927999973297119,"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/T11031","display_name":"Game Theory and Applications","score":0.9927999973297119,"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/T13500","display_name":"Probability and Statistical Research","score":0.9825999736785889,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9779000282287598,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.7336291074752808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7045170068740845},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.625697672367096},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5479507446289062},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5457682609558105},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5254372954368591},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.501061201095581},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.48495128750801086},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47701144218444824},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4677310883998871},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.4421311914920807},{"id":"https://openalex.org/keywords/game-tree","display_name":"Game tree","score":0.4211302697658539},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.38525381684303284},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3554879426956177},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3408212661743164},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.33988451957702637},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.27056020498275757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2485523521900177},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.09281286597251892},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08879342675209045}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.7336291074752808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045170068740845},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.625697672367096},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5479507446289062},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5457682609558105},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5254372954368591},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.501061201095581},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.48495128750801086},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47701144218444824},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4677310883998871},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.4421311914920807},{"id":"https://openalex.org/C95815963","wikidata":"https://www.wikidata.org/wiki/Q1377033","display_name":"Game tree","level":4,"score":0.4211302697658539},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.38525381684303284},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3554879426956177},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3408212661743164},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.33988451957702637},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.27056020498275757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2485523521900177},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.09281286597251892},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08879342675209045},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s13235-018-00293-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-018-00293-w","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-02413402v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02413402","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dynamic Games and Applications, 2019, 9 (4), pp.1026-1041. &#x27E8;10.1007/s13235-018-00293-w&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:dyngam:v:9:y:2019:i:4:d:10.1007_s13235-018-00293-w","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-018-00293-w","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:espace.library.uq.edu.au:UQ:a4c0ad3","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02413402v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02413402","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dynamic Games and Applications, 2019, 9 (4), pp.1026-1041. &#x27E8;10.1007/s13235-018-00293-w&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G936157263","display_name":null,"funder_award_id":"DP150100618","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W638060850","https://openalex.org/W1553142094","https://openalex.org/W1561016548","https://openalex.org/W1604238403","https://openalex.org/W1966861855","https://openalex.org/W1971988921","https://openalex.org/W1983009109","https://openalex.org/W2005808873","https://openalex.org/W2022773242","https://openalex.org/W2040464681","https://openalex.org/W2059765339","https://openalex.org/W2075567596","https://openalex.org/W2088882692","https://openalex.org/W2112712716","https://openalex.org/W2130314012","https://openalex.org/W2145253024","https://openalex.org/W2162720111","https://openalex.org/W2333672840","https://openalex.org/W2486404825","https://openalex.org/W2492418025","https://openalex.org/W2501339909","https://openalex.org/W2568255182","https://openalex.org/W2575731723","https://openalex.org/W4211111367","https://openalex.org/W4211129268","https://openalex.org/W4239900517","https://openalex.org/W4248236699","https://openalex.org/W4254547512","https://openalex.org/W4298290503"],"related_works":["https://openalex.org/W4293831958","https://openalex.org/W2801567004","https://openalex.org/W2557274167","https://openalex.org/W129571849","https://openalex.org/W3166372913","https://openalex.org/W2769576143","https://openalex.org/W4300189940","https://openalex.org/W4306706733","https://openalex.org/W4243049440","https://openalex.org/W3023370964"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
