{"id":"https://openalex.org/W2120990828","doi":"https://doi.org/10.1080/15427951.2008.10129171","title":"A Unified Approach to Congestion Games and Two-Sided Markets","display_name":"A Unified Approach to Congestion Games and Two-Sided Markets","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2120990828","doi":"https://doi.org/10.1080/15427951.2008.10129171","mag":"2120990828"},"language":"en","primary_location":{"id":"doi:10.1080/15427951.2008.10129171","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129171","pdf_url":"https://www.internetmathematicsjournal.com/article/1469.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.internetmathematicsjournal.com/article/1469.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064316993","display_name":"Heiner Ackermann","orcid":"https://orcid.org/0000-0003-4091-5558"},"institutions":[{"id":"https://openalex.org/I4923324","display_name":"Fraunhofer Society","ror":"https://ror.org/05hkkdn48","country_code":"DE","type":"funder","lineage":["https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Heiner Ackermann","raw_affiliation_strings":["Fraunhofer Institute for IndustrialMathematics, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for IndustrialMathematics, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4923324"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067662147","display_name":"Paul W. Goldberg","orcid":"https://orcid.org/0000-0002-5436-7890"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paul W. Goldberg","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Ashton Building, Ashton Street, Liverpool, L69 3BX, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Ashton Building, Ashton Street, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075598023","display_name":"Vahab Mirrokni","orcid":"https://orcid.org/0000-0001-6705-5629"},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vahab S. Mirrokni","raw_affiliation_strings":["Google Research, 76 9th Ave., 4th floor, New York, NY 10011"],"affiliations":[{"raw_affiliation_string":"Google Research, 76 9th Ave., 4th floor, New York, NY 10011","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034122679","display_name":"Heiko R\u00f6glin","orcid":"https://orcid.org/0009-0006-8438-3986"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Heiko R\u00f6glin","raw_affiliation_strings":["Department of Quantitative Economics, Maastricht, University, P.O. Box 616, 6200 MD Maastricht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Quantitative Economics, Maastricht, University, P.O. Box 616, 6200 MD Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066021048","display_name":"Berthold V\u00f6cking","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Berthold V\u00f6cking","raw_affiliation_strings":["Department of Computer Science, RWTH Aachen University, Ahornstr. 55, 52074 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, RWTH Aachen University, Ahornstr. 55, 52074 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064316993"],"corresponding_institution_ids":["https://openalex.org/I4923324"],"apc_list":null,"apc_paid":null,"fwci":0.8759,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79786943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"5","issue":"4","first_page":"439","last_page":"457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9962000250816345,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9954000115394592,"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/matroid","display_name":"Matroid","score":0.7540634870529175},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6275264620780945},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.5444924831390381},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.500169038772583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4828515648841858},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.44244641065597534},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.43486273288726807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32726502418518066},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12597692012786865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11210578680038452}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.7540634870529175},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6275264620780945},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.5444924831390381},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.500169038772583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4828515648841858},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.44244641065597534},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.43486273288726807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32726502418518066},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12597692012786865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11210578680038452},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1080/15427951.2008.10129171","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129171","pdf_url":"https://www.internetmathematicsjournal.com/article/1469.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.im/1265033174","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.im/1265033174","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.124.4129","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.4129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-i1.informatik.rwth-aachen.de/~roeglin/publications/WINE07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.2040","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.2040","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csc.liv.ac.uk/~pwg/papers/wine07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.180.5230","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.180.5230","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csc.liv.ac.uk/%7Epwg/papers/AGMRV-IM08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.csail.mit.edu/mirrokni/wine07.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:N-183540","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-183540.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/217885","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/217885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"},{"id":"pmh:oai:publications.rwth-aachen.de:117282","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/117282","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Internet and network economics : third international workshop, WINE 2007, San Diego, CA, USA, December 12-14, 2007 ; proceedings / Xiaotie Deng ... (eds.)<br/>Internet and network economics : third international workshop, WINE 2007, San Diego, CA, USA, 2007-12-12 - 2007-12-14","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:publications.rwth-aachen.de:134063","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/134063","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Internet Mathematics 5(4), 439-457 (2008). doi:10.1080/15427951.2008.10129171","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1080/15427951.2008.10129171","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129171","pdf_url":"https://www.internetmathematicsjournal.com/article/1469.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.5799999833106995}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2120990828.pdf","grobid_xml":"https://content.openalex.org/works/W2120990828.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1480100487","https://openalex.org/W1587360560","https://openalex.org/W1589600836","https://openalex.org/W1593582558","https://openalex.org/W1717788890","https://openalex.org/W1964011541","https://openalex.org/W1966079129","https://openalex.org/W1970500571","https://openalex.org/W1978317291","https://openalex.org/W1978696336","https://openalex.org/W2010725720","https://openalex.org/W2018136046","https://openalex.org/W2054129049","https://openalex.org/W2067467892","https://openalex.org/W2068115726","https://openalex.org/W2091887239","https://openalex.org/W2102736491","https://openalex.org/W2103802594","https://openalex.org/W2131988597","https://openalex.org/W2143529993","https://openalex.org/W2145297839","https://openalex.org/W2156613140","https://openalex.org/W2158486621","https://openalex.org/W2167101557","https://openalex.org/W2946234461","https://openalex.org/W3106468337","https://openalex.org/W3125684784","https://openalex.org/W4234885474","https://openalex.org/W4234897719"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W2470927734","https://openalex.org/W2468739564","https://openalex.org/W2171981925","https://openalex.org/W2501065092","https://openalex.org/W1554758635","https://openalex.org/W3018272572"],"abstract_inverted_index":{"Congestion":[0],"games":[1,129],"are":[2,132,175],"a":[3,20,69,107,147],"well-studied":[4],"model":[5,70,96,108],"for":[6,52,119],"resource":[7,74],"sharing":[8],"among":[9],"uncoordinated":[10],"selfish":[11],"players.":[12],"Usually,":[13],"one":[14],"assumes":[15],"that":[16,31,126,138,151],"the":[17,29,61,79,169,173,178],"resources":[18],"in":[19,71,155,167],"congestion":[21,65,99,128,142,165],"game":[22,66,143],"do":[23],"not":[24],"have":[25,43],"any":[26],"preferences":[27],"regarding":[28],"players":[30,82,88,174],"can":[32,42,75,86,102,152],"access":[33],"them.":[34],"In":[35],"typical":[36],"load-balancing":[37],"applications,":[38],"however,":[39],"different":[40,44],"jobs":[41,47],"priorities,":[45],"and":[46,67,81],"with":[48,83,89,112,130,144],"higher":[49,84],"priorities":[50,77,85,131,145],"get,":[51],"example,":[53],"larger":[54],"shares":[55],"of":[56,64,109,172],"processor":[57],"time.":[58,157],"We":[59,124],"extend":[60,97,160],"classical":[62,98,122],"notion":[63],"introduce":[68],"which":[72,168],"each":[73],"assign":[76],"to":[78,163],"players,":[80],"displace":[87],"lower":[90],"priorities.":[91],"Not":[92],"only":[93],"does":[94],"our":[95,161],"games,":[100,166],"it":[101,115],"also":[103],"be":[104,153],"seen":[105],"as":[106],"two-sided":[110],"markets":[111],"ties.":[113],"Hence":[114],"unifies":[116],"previous":[117],"results":[118,162],"these":[120],"two":[121],"models.":[123],"prove":[125],"singleton":[127,141],"potential":[133],"games.":[134],"Furthermore,":[135],"we":[136,159],"show":[137],"every":[139],"player-specific":[140],"possesses":[146],"pure":[148],"Nash":[149],"equilibrium":[150],"found":[154],"polynomial":[156],"Finally,":[158],"matroid":[164],"strategy":[170],"spaces":[171],"matroids":[176],"over":[177],"resources.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
