{"id":"https://openalex.org/W4402540757","doi":"https://doi.org/10.1007/s13235-024-00575-6","title":"Strategy Complexity of Reachability in Countable Stochastic 2-Player Games","display_name":"Strategy Complexity of Reachability in Countable Stochastic 2-Player Games","publication_year":2024,"publication_date":"2024-09-14","ids":{"openalex":"https://openalex.org/W4402540757","doi":"https://doi.org/10.1007/s13235-024-00575-6","pmid":"https://pubmed.ncbi.nlm.nih.gov/40621100"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-024-00575-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00575-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00575-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00575-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054782057","display_name":"Stefan Kiefer","orcid":"https://orcid.org/0000-0003-4173-6877"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Stefan Kiefer","raw_affiliation_strings":["University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082358544","display_name":"Richard Mayr","orcid":"https://orcid.org/0009-0003-2164-9933"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Richard Mayr","raw_affiliation_strings":["University of Edinburgh, Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005502598","display_name":"Mahsa Shirmohammadi","orcid":"https://orcid.org/0000-0002-7779-2339"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mahsa Shirmohammadi","raw_affiliation_strings":["IRIF & CNRS, Universit\u00e9 Paris cit\u00e9, Paris, France","IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)"],"affiliations":[{"raw_affiliation_string":"IRIF & CNRS, Universit\u00e9 Paris cit\u00e9, Paris, France","institution_ids":["https://openalex.org/I4210091437","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060577776","display_name":"Patrick Totzke","orcid":"https://orcid.org/0000-0001-5274-8190"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Patrick Totzke","raw_affiliation_strings":["University of Liverpool, Liverpool, UK"],"affiliations":[{"raw_affiliation_string":"University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054782057"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.5015,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84197855,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"15","issue":"3","first_page":"980","last_page":"1036"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9980000257492065,"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/T11182","display_name":"Auction Theory and Applications","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.8465040922164917},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.741073489189148},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5155119895935059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4644112288951874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4432944357395172},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4316943883895874},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39660003781318665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3351684808731079}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8465040922164917},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.741073489189148},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5155119895935059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4644112288951874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4432944357395172},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4316943883895874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39660003781318665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3351684808731079},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s13235-024-00575-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00575-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00575-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmid:40621100","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40621100","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic games and applications","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:12222464","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12222464","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12222464/pdf/13235_2024_Article_575.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dyn Games Appl","raw_type":"Text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/185d9cdf-bdd4-4e34-9256-3b7ce9a9d164","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/185d9cdf-bdd4-4e34-9256-3b7ce9a9d164","pdf_url":"https://www.research.ed.ac.uk/files/479873116/KieferEtalDGA2024StrategyComplexityOfReachability.pdf","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kiefer, S, Mayr, R, Shirmohammadi, M & Totzke, P 2024, 'Strategy complexity of reachability in countable stochastic 2-player games', Dynamic Games and Applications. https://doi.org/10.1007/s13235-024-00575-6","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-04806038v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04806038","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"Dynamic Games and Applications, 2024, &#x27E8;10.1007/s13235-024-00575-6&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1007/s13235-024-00575-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00575-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00575-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1928332608","display_name":"COSTRA -- The Cost of Winning Strategies","funder_award_id":"EP/V025848/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2371667287","display_name":null,"funder_award_id":"IES\\R3\\213110","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G4497834054","display_name":null,"funder_award_id":"EP/X042596/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5009292347","display_name":null,"funder_award_id":"EP/V025848/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402540757.pdf","grobid_xml":"https://content.openalex.org/works/W4402540757.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W60490334","https://openalex.org/W147669465","https://openalex.org/W572299107","https://openalex.org/W979688668","https://openalex.org/W1480317510","https://openalex.org/W1489831475","https://openalex.org/W1528916561","https://openalex.org/W1549845494","https://openalex.org/W1731159951","https://openalex.org/W1966347268","https://openalex.org/W1998246154","https://openalex.org/W2006655145","https://openalex.org/W2017194981","https://openalex.org/W2040464681","https://openalex.org/W2056099894","https://openalex.org/W2056545661","https://openalex.org/W2069791914","https://openalex.org/W2092189895","https://openalex.org/W2100251075","https://openalex.org/W2106272197","https://openalex.org/W2122843152","https://openalex.org/W2128646067","https://openalex.org/W2132531286","https://openalex.org/W2136805590","https://openalex.org/W2142008356","https://openalex.org/W2156162802","https://openalex.org/W2261378892","https://openalex.org/W2334782222","https://openalex.org/W2356671789","https://openalex.org/W2486404825","https://openalex.org/W2506294416","https://openalex.org/W2522049352","https://openalex.org/W2574665470","https://openalex.org/W2575731723","https://openalex.org/W2754858045","https://openalex.org/W2809383981","https://openalex.org/W2899469020","https://openalex.org/W2901470861","https://openalex.org/W2966574747","https://openalex.org/W3037794955","https://openalex.org/W3041172522","https://openalex.org/W3135339944","https://openalex.org/W3136906194","https://openalex.org/W3175213003","https://openalex.org/W4205959218","https://openalex.org/W4207055992","https://openalex.org/W4210533644","https://openalex.org/W4235312496","https://openalex.org/W4238622144","https://openalex.org/W4240253314","https://openalex.org/W4249485025","https://openalex.org/W4252441097","https://openalex.org/W4256603436","https://openalex.org/W4285786274"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W3082487952","https://openalex.org/W3040348990","https://openalex.org/W4288357225","https://openalex.org/W2541640833","https://openalex.org/W4206367340","https://openalex.org/W1606946808"],"abstract_inverted_index":{"We":[0],"study":[1],"countably":[2],"infinite":[3,66,72],"stochastic":[4],"2-player":[5],"games":[6,157],"with":[7,107,158],"reachability":[8,93],"objectives.":[9],"Our":[10,53],"results":[11,28],"provide":[12],"a":[13,108,165],"complete":[14],"picture":[15],"of":[16,20,33,49,89,142,177],"the":[17,31,34,50,86,139,153],"memory":[18,67,114],"requirements":[19],"<mml:math":[21,58,133,167],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>\u03b5</mml:mi></mml:math>":[22,59,134,168],"-optimal":[23,60,135,169],"(resp.":[24,61],"optimal)":[25,62],"strategies.":[26],"These":[27],"depend":[29],"on":[30,39],"size":[32],"players'":[35],"action":[36,73,144,160],"sets":[37,145],"and":[38],"whether":[40],"one":[41,175],"requires":[42,65],"strategies":[43,64,106,136],"that":[44,57,122,172],"are":[45,115],"uniform":[46],"(i.e.,":[47,130],"independent":[48],"start":[51],"state).":[52],"main":[54],"result":[55],"is":[56,70],"Maximizer":[63,104,124,170],"if":[68,96],"Minimizer":[69],"allowed":[71],"sets.":[74],"This":[75],"lower":[76],"bound":[77],"holds":[78],"even":[79,95,137],"under":[80],"very":[81],"strong":[82],"restrictions.":[83],"Even":[84],"in":[85,138,147,156],"special":[87,140],"case":[88,141],"infinitely":[90],"branching":[91,149],"turn-based":[92,150],"games,":[94],"all":[97],"states":[98],"allow":[99],"an":[100],"almost":[101],"surely":[102],"winning":[103],"strategy,":[105],"step":[109],"counter":[110],"plus":[111],"finite":[112,143,159],"private":[113],"still":[116],"useless.":[117],"Regarding":[118],"<i>uniformity</i>,":[119],"we":[120],"show":[121],"for":[123],"there":[125,162],"need":[126],"not":[127],"exist":[128],"memoryless":[129],"positional)":[131],"uniformly":[132,166],"or":[146],"finitely":[148],"games.":[151],"On":[152],"other":[154],"hand,":[155],"sets,":[161],"always":[163],"exists":[164],"strategy":[171],"uses":[173],"just":[174],"bit":[176],"public":[178],"memory.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}