{"id":"https://openalex.org/W2125640876","doi":"https://doi.org/10.1109/cdc.2007.4434700","title":"Discrete-time, Bi-cumulant minimax and Nash games","display_name":"Discrete-time, Bi-cumulant minimax and Nash games","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2125640876","doi":"https://doi.org/10.1109/cdc.2007.4434700","mag":"2125640876"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5108517005","display_name":"Ronald W. Diersing","orcid":null},"institutions":[{"id":"https://openalex.org/I128409426","display_name":"University of Southern Indiana","ror":"https://ror.org/006bmx089","country_code":"US","type":"education","lineage":["https://openalex.org/I128409426"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald W. Diersing","raw_affiliation_strings":["Assistant Professor of Engineering, University of Southern Indiana, Evansville, IN, USA","Southern Indiana Univ., Evansville"],"affiliations":[{"raw_affiliation_string":"Assistant Professor of Engineering, University of Southern Indiana, Evansville, IN, USA","institution_ids":["https://openalex.org/I128409426"]},{"raw_affiliation_string":"Southern Indiana Univ., Evansville","institution_ids":["https://openalex.org/I592451"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113499191","display_name":"Michael K. Sain","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael K. Sain","raw_affiliation_strings":["Freimann Professor of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","University of Notre Dame, IN 46556 UK"],"affiliations":[{"raw_affiliation_string":"Freimann Professor of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"University of Notre Dame, IN 46556 UK","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089446774","display_name":"Chang\u2010Hee Won","orcid":null},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chang-Hee Won","raw_affiliation_strings":["Assistant Professor of Electrical Engineering, Temple University, Philadelphia, PA, USA","Electrical Engineering, Temple University, Philadelphia, PA 19122 USA"],"affiliations":[{"raw_affiliation_string":"Assistant Professor of Electrical Engineering, Temple University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I84392919"]},{"raw_affiliation_string":"Electrical Engineering, Temple University, Philadelphia, PA 19122 USA","institution_ids":["https://openalex.org/I84392919"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108517005"],"corresponding_institution_ids":["https://openalex.org/I128409426","https://openalex.org/I592451"],"apc_list":null,"apc_paid":null,"fwci":0.3643,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65086424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"133","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9923999905586243,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7446068525314331},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6089288592338562},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5367407202720642},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5084942579269409},{"id":"https://openalex.org/keywords/cumulant","display_name":"Cumulant","score":0.48237481713294983},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45284807682037354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.428438663482666},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3978356122970581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3960520029067993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39274755120277405},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37643730640411377},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3752370774745941},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3704186677932739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2637721598148346},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15096628665924072}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7446068525314331},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6089288592338562},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5367407202720642},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5084942579269409},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.48237481713294983},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45284807682037354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.428438663482666},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3978356122970581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3960520029067993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39274755120277405},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37643730640411377},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3752370774745941},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3704186677932739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2637721598148346},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15096628665924072},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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":8,"referenced_works":["https://openalex.org/W280457236","https://openalex.org/W1495711302","https://openalex.org/W1579118835","https://openalex.org/W2100410620","https://openalex.org/W2127697440","https://openalex.org/W2149346165","https://openalex.org/W2151636534","https://openalex.org/W2199369507"],"related_works":["https://openalex.org/W2141111430","https://openalex.org/W4388295600","https://openalex.org/W2752033781","https://openalex.org/W3037908973","https://openalex.org/W1999535357","https://openalex.org/W176666448","https://openalex.org/W3184077629","https://openalex.org/W4237199622","https://openalex.org/W2354975142","https://openalex.org/W3091544006"],"abstract_inverted_index":{"Continuous":[0],"time,":[1,28],"cumulant":[2,34],"games":[3,35],"have":[4],"gathered":[5],"interest,":[6],"recently,":[7],"but":[8],"not":[9],"much":[10],"has":[11],"been":[12],"done":[13],"for":[14,41,51],"the":[15,52,54,60,70],"discrete":[16],"time":[17],"case.":[18],"In":[19],"this":[20,22],"paper,":[21],"problem":[23],"will":[24,36],"be":[25,37],"addressed.":[26],"Discrete":[27],"two":[29],"player,":[30],"Nash":[31],"and":[32,39,84],"minimax":[33],"formulated":[38],"developed":[40],"a":[42],"nonlinear":[43],"system":[44],"with":[45],"non-quadratic":[46],"costs.":[47],"A":[48],"recursion":[49],"equation":[50],"determining":[53],"equilibrium":[55,64],"solutions":[56,65],"is":[57],"derived.":[58],"For":[59],"linear":[61],"quadratic":[62],"case,":[63],"are":[66,90],"determined.":[67],"Furthermore,":[68],"through":[69],"use":[71],"of":[72,75],"cumulants,":[73],"generalizations":[74],"H":[76,85],"<sub":[77,81,86],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[78,82,87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[79],"/H":[80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">infin</sub>":[83,88],"control":[89],"shown.":[91]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
