{"id":"https://openalex.org/W2076964276","doi":"https://doi.org/10.1145/1324249.1324253","title":"Games, geometry, and the computational complexity of finding equilibria","display_name":"Games, geometry, and the computational complexity of finding equilibria","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2076964276","doi":"https://doi.org/10.1145/1324249.1324253","mag":"2076964276"},"language":"en","primary_location":{"id":"doi:10.1145/1324249.1324253","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1324249.1324253","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge  - TARK '07","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/A5074380214","display_name":"Bernhard von Stengel","orcid":"https://orcid.org/0000-0002-3488-8322"},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Bernhard von Stengel","raw_affiliation_strings":["London School of Economics, London, United Kingdom","London School of Economics , London , United Kingdom"],"affiliations":[{"raw_affiliation_string":"London School of Economics, London, United Kingdom","institution_ids":["https://openalex.org/I909854389"]},{"raw_affiliation_string":"London School of Economics , London , United Kingdom","institution_ids":["https://openalex.org/I909854389"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074380214"],"corresponding_institution_ids":["https://openalex.org/I909854389"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16268704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9995999932289124,"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/T11182","display_name":"Auction Theory and Applications","score":0.9995999932289124,"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/T11031","display_name":"Game Theory and Applications","score":0.9984999895095825,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9944999814033508,"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/computational-geometry","display_name":"Computational geometry","score":0.667330801486969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6014477014541626},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5491963028907776},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.39592742919921875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2456417679786682},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18379512429237366}],"concepts":[{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.667330801486969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6014477014541626},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5491963028907776},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39592742919921875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2456417679786682},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18379512429237366}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1324249.1324253","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1324249.1324253","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge  - TARK '07","raw_type":"proceedings-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:50717","is_oa":false,"landing_page_url":"https://orcid.org/0000-0002-3488-8322>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:eprints.lse.ac.uk:50717","is_oa":false,"landing_page_url":"http://eprints.lse.ac.uk/50717/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"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":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.4099999964237213,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W106510103","https://openalex.org/W1571051474","https://openalex.org/W1966347268","https://openalex.org/W2089649903","https://openalex.org/W2108614294"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2740851372","https://openalex.org/W2165852999","https://openalex.org/W2154461127","https://openalex.org/W598462635","https://openalex.org/W137454273","https://openalex.org/W2707717"],"abstract_inverted_index":{"Game-theoretic":[0],"problems":[1],"have":[2],"found":[3],"massive":[4],"recent":[5],"interest":[6],"in":[7],"computer":[8],"science.":[9],"Obvious":[10],"applications":[11],"arise":[12],"from":[13],"the":[14,21],"internet":[15],"and":[16],"electronic":[17],"commerce,":[18],"for":[19],"example":[20],"study":[22],"of":[23],"online":[24],"auctions.":[25]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
