{"id":"https://openalex.org/W2071988569","doi":"https://doi.org/10.1109/acc.2012.6314876","title":"Nash equilibrium design and coordination in hierarchical systems","display_name":"Nash equilibrium design and coordination in hierarchical systems","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2071988569","doi":"https://doi.org/10.1109/acc.2012.6314876","mag":"2071988569"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6314876","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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/A5038734831","display_name":"Micha\u0142 Karpowicz","orcid":"https://orcid.org/0000-0003-1431-3078"},"institutions":[{"id":"https://openalex.org/I4210136276","display_name":"NASK National Research Institute","ror":"https://ror.org/03ajsaw82","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210136276"]},{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"M. P. Karpowicz","raw_affiliation_strings":["Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland","NASK Research Institute, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"NASK Research Institute, Warsaw, Poland","institution_ids":["https://openalex.org/I4210136276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038734831"],"corresponding_institution_ids":["https://openalex.org/I108403487","https://openalex.org/I4210136276"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16918686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6023","last_page":"6028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9986000061035156,"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/T11182","display_name":"Auction Theory and Applications","score":0.9986000061035156,"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/T11031","display_name":"Game Theory and Applications","score":0.9983999729156494,"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/T12137","display_name":"Economic theories and models","score":0.9811000227928162,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.8595685958862305},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.6612678170204163},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.6564072966575623},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.6082884669303894},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5635541081428528},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5607466697692871},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5557677149772644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.539065420627594},{"id":"https://openalex.org/keywords/coordination-game","display_name":"Coordination game","score":0.5336595177650452},{"id":"https://openalex.org/keywords/anticipation","display_name":"Anticipation (artificial intelligence)","score":0.5266197323799133},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.44626539945602417},{"id":"https://openalex.org/keywords/implementation-theory","display_name":"Implementation theory","score":0.426638126373291},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.38020506501197815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2502710819244385}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8595685958862305},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.6612678170204163},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.6564072966575623},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.6082884669303894},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5635541081428528},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5607466697692871},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5557677149772644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.539065420627594},{"id":"https://openalex.org/C107257861","wikidata":"https://www.wikidata.org/wiki/Q656316","display_name":"Coordination game","level":2,"score":0.5336595177650452},{"id":"https://openalex.org/C176777502","wikidata":"https://www.wikidata.org/wiki/Q4774623","display_name":"Anticipation (artificial intelligence)","level":2,"score":0.5266197323799133},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.44626539945602417},{"id":"https://openalex.org/C11934016","wikidata":"https://www.wikidata.org/wiki/Q6007196","display_name":"Implementation theory","level":4,"score":0.426638126373291},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.38020506501197815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2502710819244385},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6314876","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1540905757","https://openalex.org/W1578630563","https://openalex.org/W1865065689","https://openalex.org/W1948170809","https://openalex.org/W1972221945","https://openalex.org/W1981329484","https://openalex.org/W1982950138","https://openalex.org/W2007488245","https://openalex.org/W2024142578","https://openalex.org/W2067050450","https://openalex.org/W2068700431","https://openalex.org/W2068737517","https://openalex.org/W2071314114","https://openalex.org/W2084312524","https://openalex.org/W2096590834","https://openalex.org/W2108653052","https://openalex.org/W2110667918","https://openalex.org/W2119493606","https://openalex.org/W2136096971","https://openalex.org/W2145075030","https://openalex.org/W2159715570","https://openalex.org/W2167217653","https://openalex.org/W2171081201","https://openalex.org/W2330024298","https://openalex.org/W2993553861","https://openalex.org/W4206483639","https://openalex.org/W4234761190","https://openalex.org/W4239041053","https://openalex.org/W4240896209","https://openalex.org/W4254106911"],"related_works":["https://openalex.org/W2122545247","https://openalex.org/W2013767790","https://openalex.org/W4365460918","https://openalex.org/W2097226409","https://openalex.org/W1853631319","https://openalex.org/W2025767136","https://openalex.org/W2408729172","https://openalex.org/W4280496625","https://openalex.org/W2500870930","https://openalex.org/W4377081125"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,40],"the":[4,59],"problem":[5,39,55],"of":[6,18,31,61],"Nash":[7,43],"equilibrium":[8,44],"design":[9,45],"in":[10,13],"noncooperative":[11],"games":[12],"which":[14],"agents":[15],"anticipate":[16],"values":[17],"Lagrange":[19],"multipliers":[20],"(prices)":[21],"coordinating":[22],"their":[23],"payoffs.":[24],"Sufficient":[25],"conditions":[26],"are":[27],"formulated":[28],"for":[29,47,66],"Nash-implementation":[30],"regular":[32],"and":[33,63],"isolated":[34],"solution":[35],"to":[36],"conditional":[37],"optimization":[38],"equality":[41],"constraints.":[42],"procedure":[46],"price-anticipation":[48],"game":[49,73],"is":[50,56,74],"proposed":[51],"as":[52,76],"well.":[53],"The":[54],"studied":[57],"within":[58],"framework":[60],"control":[62,72],"coordination":[64],"theory":[65],"hierarchical":[67],"systems.":[68],"A":[69],"network":[70],"congestion":[71],"discussed":[75],"a":[77],"motivating":[78],"example.":[79]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
