{"id":"https://openalex.org/W7139114919","doi":"https://doi.org/10.48550/arxiv.2603.17015","title":"Learning generalized Nash equilibria from pairwise preferences","display_name":"Learning generalized Nash equilibria from pairwise preferences","publication_year":2026,"publication_date":"2026-03-17","ids":{"openalex":"https://openalex.org/W7139114919","doi":"https://doi.org/10.48550/arxiv.2603.17015"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.17015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.17015","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,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.17015","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011267097","display_name":"Pablo Krupa","orcid":"https://orcid.org/0000-0002-6238-1166"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Krupa, Pablo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5130028503","display_name":"Alberto Bemporad","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bemporad, Alberto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.3041999936103821,"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":0.3041999936103821,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.16619999706745148,"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/T11031","display_name":"Game Theory and Applications","score":0.08009999990463257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.7389000058174133},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.722599983215332},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6549000144004822},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.44110000133514404},{"id":"https://openalex.org/keywords/preference-theory","display_name":"Preference theory","score":0.39399999380111694},{"id":"https://openalex.org/keywords/preference-elicitation","display_name":"Preference elicitation","score":0.37880000472068787},{"id":"https://openalex.org/keywords/preference-learning","display_name":"Preference learning","score":0.3776000142097473},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.375}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.7389000058174133},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.722599983215332},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6549000144004822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4878999888896942},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4602000117301941},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4494999945163727},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.44110000133514404},{"id":"https://openalex.org/C2781043087","wikidata":"https://www.wikidata.org/wiki/Q939761","display_name":"Preference theory","level":3,"score":0.39399999380111694},{"id":"https://openalex.org/C2777868144","wikidata":"https://www.wikidata.org/wiki/Q7239817","display_name":"Preference elicitation","level":3,"score":0.37880000472068787},{"id":"https://openalex.org/C181204326","wikidata":"https://www.wikidata.org/wiki/Q7239820","display_name":"Preference learning","level":3,"score":0.3776000142097473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37599998712539673},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.375},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3418999910354614},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.3334999978542328},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.2989000082015991},{"id":"https://openalex.org/C96622800","wikidata":"https://www.wikidata.org/wiki/Q2132788","display_name":"Rationalizability","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2750999927520752},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.2621999979019165}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.17015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.17015","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,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.17015","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.17015","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,"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"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6863367557525635,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Generalized":[0],"Nash":[1,21],"Equilibrium":[2],"Problems":[3],"(GNEPs)":[4],"arise":[5],"in":[6],"many":[7,15],"applications,":[8],"including":[9],"non-cooperative":[10],"multi-agent":[11],"control":[12],"problems.":[13],"Although":[14],"methods":[16],"exist":[17],"for":[18,49,59],"finding":[19],"generalized":[20],"equilibria,":[22],"most":[23],"of":[24,30,42,52,81,97,103,128],"them":[25],"rely":[26],"on":[27,56,111,120],"assuming":[28],"knowledge":[29],"the":[31,39,43,68,82,98,104,126,129],"objective":[32],"functions":[33],"or":[34],"being":[35],"able":[36],"to":[37,72],"query":[38],"best":[40],"responses":[41],"agents.":[44],"We":[45,66,107],"present":[46,108],"a":[47,74,79],"method":[48],"learning":[50],"solutions":[51],"GNEPs":[53],"only":[54],"based":[55],"querying":[57],"agents":[58],"their":[60],"preference":[61,70],"between":[62],"two":[63],"alternative":[64],"decisions.":[65],"use":[67],"collected":[69],"data":[71],"learn":[73],"GNEP":[75,123],"whose":[76],"equilibrium":[77],"approximates":[78],"GNE":[80],"underlying":[83],"(unknown)":[84],"problem.":[85],"Preference":[86],"queries":[87],"are":[88],"selected":[89],"using":[90],"an":[91],"active-learning":[92],"strategy":[93],"that":[94],"balances":[95],"exploration":[96],"decision":[99],"space":[100],"and":[101],"exploitation":[102],"learned":[105],"GNEP.":[106],"numerical":[109],"results":[110],"game-theoretic":[112],"linear":[113],"quadratic":[114],"regulation":[115],"problems,":[116],"as":[117,119],"well":[118],"other":[121],"literature":[122],"examples,":[124],"showing":[125],"effectiveness":[127],"proposed":[130],"method.":[131]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-03-20T00:00:00"}
