{"id":"https://openalex.org/W2151972785","doi":"https://doi.org/10.1109/gamenets.2009.5137427","title":"Communication complexity of stochastic games","display_name":"Communication complexity of stochastic games","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2151972785","doi":"https://doi.org/10.1109/gamenets.2009.5137427","mag":"2151972785"},"language":"en","primary_location":{"id":"doi:10.1109/gamenets.2009.5137427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gamenets.2009.5137427","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Game Theory for Networks","raw_type":"proceedings-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/A5011215986","display_name":"Nagarajan Krishnamurthy","orcid":"https://orcid.org/0000-0001-9543-815X"},"institutions":[{"id":"https://openalex.org/I19149307","display_name":"Chennai Mathematical Institute","ror":"https://ror.org/04zp24820","country_code":"IN","type":"education","lineage":["https://openalex.org/I19149307"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nagarajan Krishnamurthy","raw_affiliation_strings":["Chennai Mathematical Institute, India"],"affiliations":[{"raw_affiliation_string":"Chennai Mathematical Institute, India","institution_ids":["https://openalex.org/I19149307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110480398","display_name":"T. Parthasarathy","orcid":null},"institutions":[{"id":"https://openalex.org/I94305156","display_name":"Indian Academy of Sciences","ror":"https://ror.org/00wdyp114","country_code":"IN","type":"government","lineage":["https://openalex.org/I2799351866","https://openalex.org/I4210098748","https://openalex.org/I4210134808","https://openalex.org/I94305156"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T. Parthasarathy","raw_affiliation_strings":["INSA, Indian Academy of Sciences, India"],"affiliations":[{"raw_affiliation_string":"INSA, Indian Academy of Sciences, India","institution_ids":["https://openalex.org/I94305156"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078783248","display_name":"G. Ravindran","orcid":"https://orcid.org/0000-0002-5178-7849"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Ravindran","raw_affiliation_strings":["Indian Statistical Institute, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Chennai, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011215986"],"corresponding_institution_ids":["https://openalex.org/I19149307"],"apc_list":null,"apc_paid":null,"fwci":0.4017,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70577595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3623","issue":null,"first_page":"411","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9990000128746033,"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":0.9990000128746033,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9918000102043152,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7744615077972412},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6809925436973572},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5330312252044678},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5314558744430542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5174853801727295},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4646213948726654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43680739402770996},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4328194260597229},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.43173953890800476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3620620667934418},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13217264413833618}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7744615077972412},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6809925436973572},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5330312252044678},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5314558744430542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5174853801727295},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4646213948726654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43680739402770996},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4328194260597229},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.43173953890800476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3620620667934418},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13217264413833618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/gamenets.2009.5137427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gamenets.2009.5137427","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Game Theory for Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W2667760","https://openalex.org/W584634945","https://openalex.org/W987035227","https://openalex.org/W1527197079","https://openalex.org/W1600504237","https://openalex.org/W1837941347","https://openalex.org/W1966347268","https://openalex.org/W1968909445","https://openalex.org/W1971988921","https://openalex.org/W1973522747","https://openalex.org/W1997962584","https://openalex.org/W2018528465","https://openalex.org/W2046394323","https://openalex.org/W2052366866","https://openalex.org/W2059765339","https://openalex.org/W2072340369","https://openalex.org/W2107217702","https://openalex.org/W2152122625","https://openalex.org/W2155053901","https://openalex.org/W2162720111","https://openalex.org/W2575731723","https://openalex.org/W3122224521","https://openalex.org/W4298227433","https://openalex.org/W6654868631"],"related_works":["https://openalex.org/W3124338094","https://openalex.org/W2591816347","https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W3191963346","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W1973796260","https://openalex.org/W4389370903","https://openalex.org/W2468739564"],"abstract_inverted_index":{"We":[0,25,183,228,244],"derive":[1],"upper":[2,62,77,128,191],"and":[3,35,88,151,169,256],"lower":[4,172],"bounds":[5,63,192],"on":[6],"the":[7,12,99,116,119,147,154,171,186,235,249],"communication":[8,60],"complexity":[9,61],"of":[10,14,22,30,37,47,64,79,101,103,115,118,130,149,201,207,237],"determining":[11],"existence":[13],"pure":[15,28,199,220,225],"strategy":[16],"Nash":[17],"equilibria":[18,29,200],"for":[19,93,193],"some":[20],"classes":[21],"stochastic":[23,33,55,69,167,179],"games.":[24,56,70,95,195],"prove":[26,75,197],"that":[27,50,92,110,198,213,217,231],"single":[31],"controller":[32],"games":[34,43,49,66,165,168,177,180,203],"those":[36,46,206],"SER-SIT":[38,72,194,202,215],"(separable":[39],"reward-state":[40],"independent":[41,114,242],"transition)":[42],"correspond":[44,204],"to":[45,67,166,178,205],"bimatrix":[48,65,94,164,176,209],"are":[51],"constructed":[52],"from":[53,175],"these":[54,68],"Hence":[57],"we":[58,74,125,162,211,232],"extend":[59],"For":[71,122],"games,":[73,124,210],"an":[76,127],"bound":[78,112,129,173],"O(n":[80],"<sup":[81,133,139],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[82,134,140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[83,141],")":[84],"which":[85,89],"is":[86,98,113,146,153,251],"tight":[87],"coincides":[90],"with":[91],"Here":[96],"n":[97,138],"number":[100],"actions":[102],"each":[104,107],"player":[105],"in":[106],"state.":[108],"Note":[109],"this":[111],"size":[117],"actual":[120],"payoffs.":[121],"single-controller":[123],"obtain":[126],"min":[131],"(O(n":[132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2|S|</sup>":[135],"),":[136],"O(|S|":[137],"log":[142],"M))":[143],"where":[144],"S":[145],"set":[148],"states":[150],"M":[152],"largest":[155],"entry":[156],"across":[157],"all":[158],"payoff":[159],"matrices.":[160],"Further,":[161],"reduce":[163],"hence,":[170],"extends":[174],"as":[181],"well.":[182],"also":[184,229],"establish":[185],"following":[187],"results":[188],"while":[189],"proving":[190],"To":[196],"auxiliary":[208],"show":[212,230],"every":[214],"game":[216,250],"has":[218,222],"a":[219,223],"equilibrium":[221,226],"state-independent":[224],"too.":[227],"cannot":[233],"relax":[234],"constraints":[236],"separable":[238],"rewards":[239],"or":[240],"state":[241],"transitions.":[243],"provide":[245],"counter":[246],"examples":[247],"when":[248],"SER":[252],"(but":[253,258],"not":[254,259],"SIT)":[255],"SIT":[257],"SER).":[260]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
