{"id":"https://openalex.org/W2054727321","doi":"https://doi.org/10.1145/1807406.1807469","title":"Beyond convexity","display_name":"Beyond convexity","publication_year":2010,"publication_date":"2010-05-14","ids":{"openalex":"https://openalex.org/W2054727321","doi":"https://doi.org/10.1145/1807406.1807469","mag":"2054727321"},"language":"en","primary_location":{"id":"doi:10.1145/1807406.1807469","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1807406.1807469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Behavioral and Quantitative Game Theory: Conference on Future Directions","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/A5102005063","display_name":"Shang\u2010Hua Teng","orcid":"https://orcid.org/0000-0001-5011-4514"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I2800817003","display_name":"Southern California University for Professional Studies","ror":"https://ror.org/058zz0t50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800817003"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shang-Hua Teng","raw_affiliation_strings":["Univ. of Southern California","University of Southern California"],"affiliations":[{"raw_affiliation_string":"Univ. of Southern California","institution_ids":["https://openalex.org/I2800817003","https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California","institution_ids":["https://openalex.org/I2800817003","https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102005063"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I2800817003"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16752776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9959999918937683,"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":0.9959999918937683,"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":0.9937000274658203,"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":0.7744897603988647},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7319866418838501},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6196942329406738},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.46664077043533325},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.4620674252510071},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.458630234003067},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4188048541545868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4164128303527832},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.416338175535202},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4148993194103241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38113275170326233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3777594566345215},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13743239641189575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12593954801559448},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.08332270383834839}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7744897603988647},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7319866418838501},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6196942329406738},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.46664077043533325},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4620674252510071},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.458630234003067},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4188048541545868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4164128303527832},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.416338175535202},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4148993194103241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38113275170326233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3777594566345215},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13743239641189575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12593954801559448},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.08332270383834839}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1807406.1807469","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1807406.1807469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Behavioral and Quantitative Game Theory: Conference on Future Directions","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W2092374696","https://openalex.org/W4315489088","https://openalex.org/W2013767790","https://openalex.org/W2481143976","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W3004964213","https://openalex.org/W3011680666","https://openalex.org/W2128266000"],"abstract_inverted_index":{"It":[0],"is":[1,34,52,75,82],"well":[2],"known":[3],"that":[4,120],"an":[5,39,44,62,66],"equilibrium":[6,28,41,63],"point":[7,147],"of":[8,25,43,47,61,65,96,106],"a":[9,26,30],"zero-sum":[10],"two-player":[11,32],"game":[12,33],"can":[13,121],"be":[14,122],"computed":[15],"in":[16,29,84],"polynomial":[17],"time":[18],"using":[19,55],"linear":[20,50,73],"programming":[21],"while":[22,58],"the":[23,59,101,136],"computation":[24,60],"Nash":[27,111],"general":[31],"PPAD":[35,76],"complete.":[36,77],"In":[37,87],"parallel,":[38],"Arrow-Debreu":[40],"price":[42,64],"exchange":[45,67],"market":[46,68,113],"traders":[48],"with":[49,69],"utilities":[51,74],"polynomial-time":[53],"computable":[54],"convex":[56],"programming,":[57],"linearly":[70],"separable":[71],"piece-wise":[72],"This":[78],"convexity":[79],"based":[80],"dichotomy":[81],"fascinating":[83],"my":[85],"view.":[86],"this":[88],"talk":[89],"I":[90,129],"would":[91,130],"like":[92,132],"to":[93,133],"discuss":[94],"some":[95],"our":[97],"recent":[98],"work":[99],"about":[100],"mathematical":[102],"and":[103,112,115],"complexity":[104],"structure":[105],"equilibria,":[107],"both":[108],"for":[109,116],"fixed-point-based":[110],"equilibria":[114,119],"potential-function-based":[117],"network":[118],"found":[123],"by":[124],"any":[125],"local":[126,141],"search":[127,142],"procedure.":[128],"also":[131],"touch":[134],"on":[135],"questions":[137],"such":[138],"as":[139],"\"Is":[140],"fundamentally":[143],"easier":[144],"than":[145],"fixed":[146],"computation?\"":[148]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}