{"id":"https://openalex.org/W2063979082","doi":"https://doi.org/10.1007/978-3-642-14165-2_8","title":"On the Existence of Pure Nash Equilibria in Weighted Congestion Games","display_name":"On the Existence of Pure Nash Equilibria in Weighted Congestion Games","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2063979082","doi":"https://doi.org/10.1007/978-3-642-14165-2_8","mag":"2063979082"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-14165-2_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14165-2_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5052198695","display_name":"Tobias Harks","orcid":"https://orcid.org/0000-0002-7873-3779"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tobias Harks","raw_affiliation_strings":["Department of Mathematics, TU Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029539508","display_name":"Max Klimm","orcid":"https://orcid.org/0000-0002-9061-2267"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Max Klimm","raw_affiliation_strings":["Department of Mathematics, TU Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052198695"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":15.4094,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.99397445,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"79","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9972000122070312,"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"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9908999800682068,"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/combinatorics","display_name":"Combinatorics","score":0.6926330327987671},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.679223358631134},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6481906175613403},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.564904510974884},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5377305746078491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49246272444725037},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.489346444606781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39237117767333984},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19812238216400146},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.1565200686454773},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10616427659988403},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0759541392326355}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6926330327987671},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.679223358631134},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6481906175613403},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.564904510974884},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5377305746078491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49246272444725037},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.489346444606781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39237117767333984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19812238216400146},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.1565200686454773},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10616427659988403},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0759541392326355},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-14165-2_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14165-2_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.719.3627","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.719.3627","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iasi.cnr.it/aussois/web/uploads/2013/papers/klimmm.pdf","raw_type":"text"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:53889","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/53889","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1481704389","https://openalex.org/W1500428599","https://openalex.org/W1519411016","https://openalex.org/W1581160737","https://openalex.org/W1596065544","https://openalex.org/W1600126641","https://openalex.org/W1603063217","https://openalex.org/W1635399934","https://openalex.org/W1855439694","https://openalex.org/W1970500571","https://openalex.org/W1972868509","https://openalex.org/W1972926214","https://openalex.org/W1991307017","https://openalex.org/W2005808083","https://openalex.org/W2017227260","https://openalex.org/W2018136046","https://openalex.org/W2019543382","https://openalex.org/W2021677593","https://openalex.org/W2054129049","https://openalex.org/W2063979082","https://openalex.org/W2064824188","https://openalex.org/W2072951587","https://openalex.org/W2077066745","https://openalex.org/W2088862296","https://openalex.org/W2089112929","https://openalex.org/W2089904040","https://openalex.org/W2095094403","https://openalex.org/W2102736491","https://openalex.org/W2112269231","https://openalex.org/W2113692632","https://openalex.org/W2123484734","https://openalex.org/W2127478912","https://openalex.org/W2133243407","https://openalex.org/W2143381018","https://openalex.org/W2154473984","https://openalex.org/W2156613140","https://openalex.org/W2160745863","https://openalex.org/W2164793771","https://openalex.org/W2167101557","https://openalex.org/W2169988108","https://openalex.org/W2171306573","https://openalex.org/W3022388326"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W3107994849","https://openalex.org/W2348722996","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2102386043","https://openalex.org/W2894130971","https://openalex.org/W1996226968"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}