{"id":"https://openalex.org/W7214748640","doi":"https://doi.org/10.48550/arxiv.2609.31901","title":"Game-Theoretic Control with Constrained Potential Surgery","display_name":"Game-Theoretic Control with Constrained Potential Surgery","publication_year":2026,"publication_date":"2026-09-25","ids":{"openalex":"https://openalex.org/W7214748640","doi":"https://doi.org/10.48550/arxiv.2609.31901"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.31901","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31901","pdf_url":"https://arxiv.org/pdf/2609.31901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.31901","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153427919","display_name":"Zhiyuan Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhang, Zhiyuan","raw_affiliation_strings":["School of Aerospace Engineering , Institute for Robotics and Intelligent Machines , Georgia Institute of Technology , Atlanta , GA 30332 , USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering , Institute for Robotics and Intelligent Machines , Georgia Institute of Technology , Atlanta , GA 30332 , USA,","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077667229","display_name":"Panagiotis Tsiotras","orcid":"https://orcid.org/0000-0001-7563-4129","observed_orcids":["https://orcid.org/0000-0001-7563-4129"]},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tsiotras, Panagiotis","raw_affiliation_strings":["School of Aerospace Engineering , Institute for Robotics and Intelligent Machines , Georgia Institute of Technology , Atlanta , GA 30332 , USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering , Institute for Robotics and Intelligent Machines , Georgia Institute of Technology , Atlanta , GA 30332 , USA,","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9824000000953674,"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":0.9824000000953674,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.003800000064074993,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.003100000089034438,"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/generalized-nash-equilibrium","display_name":"generalized Nash equilibrium","score":0.9120000004768372},{"id":"https://openalex.org/keywords/interior-point-solvers","display_name":"interior-point solvers","score":0.8209999799728394},{"id":"https://openalex.org/keywords/second-order-corrections","display_name":"second-order corrections","score":0.9480000138282776},{"id":"https://openalex.org/keywords/multi-agent-planning","display_name":"multi-agent planning","score":0.8309999704360962},{"id":"https://openalex.org/keywords/multi-agent-control","display_name":"multi-agent control","score":0.6039999723434448},{"id":"https://openalex.org/keywords/newton-solver","display_name":"Newton solver","score":0.6480000019073486},{"id":"https://openalex.org/keywords/saddle-points","display_name":"saddle points","score":0.7760000228881836}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7208999991416931},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6172000169754028},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6154000163078308},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5127999782562256},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4916999936103821},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.48989999294281006},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4887000024318695},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4814999997615814},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4758000075817108},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.47360000014305115},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.4212000072002411},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4189000129699707},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.3808000087738037},{"id":"https://openalex.org/C99580578","wikidata":"https://www.wikidata.org/wiki/Q5319002","display_name":"Dynamic problem","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.34769999980926514},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.34619998931884766},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.33489999175071716},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.3239000141620636},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3181000053882599},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.2973000109195709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29339998960494995},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.27619999647140503},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.26019999384880066},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.31901","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31901","pdf_url":"https://arxiv.org/pdf/2609.31901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.31901","doi":"https://doi.org/10.48550/arxiv.2609.31901","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.31901","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.31901","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31901","pdf_url":"https://arxiv.org/pdf/2609.31901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G845501826","display_name":"RI: Small: Robust Autonomy for Uncertain Systems using Randomized Trees","funder_award_id":"2008686","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214748640.pdf","grobid_xml":"https://content.openalex.org/works/W7214748640.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4399453780","https://openalex.org/W4410321327"],"related_works":["https://openalex.org/W4413945949","https://openalex.org/W4389665840","https://openalex.org/W4408519610","https://openalex.org/W7214774698","https://openalex.org/W7214775694","https://openalex.org/W4385452062","https://openalex.org/W4292071342","https://openalex.org/W3159548938","https://openalex.org/W4393754906","https://openalex.org/W7127900019"],"abstract_inverted_index":{"Constrained":[0],"general-sum":[1],"dynamic":[2,28,51,92,114],"games":[3],"are":[4,65],"a":[5,35,40,50,83,96,108,128],"popular":[6],"formulation":[7],"for":[8,26,90],"highly":[9],"interactive":[10],"multi-agent":[11],"planning":[12],"problems.":[13],"In":[14,55,78],"recent":[15],"years,":[16],"Generalized":[17],"Nash":[18],"Equilibrium":[19],"(GNE)":[20],"solvers":[21,58],"have":[22],"achieved":[23],"real-time":[24],"performance":[25,117],"small":[27,41],"games.":[29,115],"However,":[30],"solution":[31,111],"speed":[32],"still":[33],"remains":[34,53],"bottleneck,":[36],"and":[37,85,127],"controlling":[38],"even":[39],"number":[42],"of":[43,74,105,118],"agents":[44],"(e.g.,":[45],"more":[46],"than":[47],"four)":[48],"in":[49,112],"task":[52],"elusive.":[54],"addition,":[56],"Newton":[57],"that":[59,101],"focus":[60],"on":[61,124],"the":[62,72,75,103,119],"first-order":[63],"conditions":[64],"vulnerable":[66],"to":[67,107],"non-Nash":[68],"saddle":[69],"points,":[70],"limiting":[71],"usefulness":[73],"provided":[76],"solution.":[77],"this":[79],"work,":[80],"we":[81],"propose":[82],"fast":[84],"versatile":[86],"interior":[87],"point":[88],"solver":[89],"constrained":[91,113],"games,":[93],"along":[94],"with":[95],"computationally":[97],"efficient":[98],"second-order":[99],"correction":[100],"increases":[102],"probability":[104],"converging":[106],"local":[109],"GNE":[110],"The":[116],"proposed":[120],"method":[121],"is":[122],"evaluated":[123],"numerical":[125],"benchmarks":[126],"physical":[129],"experiment":[130],"involving":[131],"scaled":[132],"race":[133],"cars.":[134]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}