{"id":"https://openalex.org/W2793975659","doi":"https://doi.org/10.1109/tcns.2018.2808138","title":"Verification and Dynamics of Group-Based Potential Games","display_name":"Verification and Dynamics of Group-Based Potential Games","publication_year":2018,"publication_date":"2018-02-19","ids":{"openalex":"https://openalex.org/W2793975659","doi":"https://doi.org/10.1109/tcns.2018.2808138","mag":"2793975659"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2018.2808138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2018.2808138","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","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/A5060775948","display_name":"Changxi Li","orcid":"https://orcid.org/0000-0002-8071-8439"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changxi Li","raw_affiliation_strings":["Control and Simulation Center, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-8071-8439","affiliations":[{"raw_affiliation_string":"Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100635370","display_name":"Fenghua He","orcid":"https://orcid.org/0000-0001-7923-3277"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fenghua He","raw_affiliation_strings":["Control and Simulation Center, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-7923-3277","affiliations":[{"raw_affiliation_string":"Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106405422","display_name":"Ting Liu","orcid":"https://orcid.org/0000-0002-2814-5485"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting Liu","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2814-5485","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020035625","display_name":"Daizhan Cheng","orcid":"https://orcid.org/0000-0001-5088-3209"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daizhan Cheng","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-5088-3209","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1411,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.79829106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"6","issue":"1","first_page":"215","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9983000159263611,"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":0.9983000159263611,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/potential-game","display_name":"Potential game","score":0.6652687191963196},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6447198390960693},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6341015100479126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5479254722595215},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5388673543930054},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5033702254295349},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4929008483886719},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4711308181285858},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41792789101600647},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4006536602973938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31846076250076294},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.25193750858306885},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1576586663722992},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1473853588104248},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0709187388420105}],"concepts":[{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.6652687191963196},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6447198390960693},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6341015100479126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5479254722595215},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5388673543930054},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5033702254295349},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4929008483886719},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4711308181285858},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41792789101600647},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4006536602973938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31846076250076294},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.25193750858306885},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1576586663722992},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1473853588104248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0709187388420105},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2018.2808138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2018.2808138","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G444015423","display_name":null,"funder_award_id":"61333001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4907209773","display_name":null,"funder_award_id":"61473099","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5319174282","display_name":"\u57fa\u4e8e\u51b3\u7b56\u7684\u590d\u6742\u975e\u7ebf\u6027\u7cfb\u7edf\u63a7\u5236","funder_award_id":"61733018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8420277446","display_name":null,"funder_award_id":"61773371","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W821019010","https://openalex.org/W1415442047","https://openalex.org/W1511476864","https://openalex.org/W1567360452","https://openalex.org/W1960351623","https://openalex.org/W2004017431","https://openalex.org/W2004213216","https://openalex.org/W2020196141","https://openalex.org/W2025490132","https://openalex.org/W2030235975","https://openalex.org/W2053648336","https://openalex.org/W2054129049","https://openalex.org/W2058626062","https://openalex.org/W2085538682","https://openalex.org/W2086688123","https://openalex.org/W2090408760","https://openalex.org/W2103151730","https://openalex.org/W2111250529","https://openalex.org/W2113726644","https://openalex.org/W2128727659","https://openalex.org/W2143549867","https://openalex.org/W2147552962","https://openalex.org/W2343109992","https://openalex.org/W2444115642","https://openalex.org/W2518353874","https://openalex.org/W2575922399","https://openalex.org/W2591398610","https://openalex.org/W3022321359"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2728657731","https://openalex.org/W2092374696","https://openalex.org/W1853631319","https://openalex.org/W2111030377","https://openalex.org/W1598931193","https://openalex.org/W2103821767","https://openalex.org/W4214835929","https://openalex.org/W2030545874","https://openalex.org/W2623069875"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,18,66],"potential-type":[3],"games,":[4],"called":[5],"the":[6,16,19,27,30,50,64,81,100],"group-based":[7,21,52,69,82],"potential":[8,22,53,70],"game,":[9],"is":[10,24,55,61,92],"investigated":[11],"in":[12,96],"this":[13],"paper.":[14],"First,":[15],"verification":[17,31],"(strongly)":[20],"game":[23,54,73],"studied.":[25],"Using":[26],"semitensor":[28],"product,":[29],"can":[32],"be":[33],"solved":[34],"by":[35],"checking":[36],"whether":[37],"a":[38,42,58,67,76],"linear":[39],"equation":[40],"has":[41],"solution.":[43],"Second,":[44],"profile":[45],"dynamics":[46],"are":[47],"considered":[48],"when":[49],"strongly":[51,68],"played":[56],"on":[57],"hypergraph.":[59],"It":[60],"proved":[62],"that":[63],"strategies":[65],"hyper-networked":[71],"evolutionary":[72],"converge":[74],"to":[75,98],"pure":[77],"Nash":[78],"equilibrium":[79],"under":[80],"cascading":[83],"myopic":[84],"best":[85],"response":[86],"adjustment":[87],"rule.":[88],"Finally,":[89],"an":[90],"example":[91],"provided":[93],"and":[94],"discussed":[95],"detail":[97],"demonstrate":[99],"theoretical":[101],"result.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}