{"id":"https://openalex.org/W4220954123","doi":"https://doi.org/10.1007/s10107-022-01791-x","title":"The computation of pairwise stable networks","display_name":"The computation of pairwise stable networks","publication_year":2022,"publication_date":"2022-03-14","ids":{"openalex":"https://openalex.org/W4220954123","doi":"https://doi.org/10.1007/s10107-022-01791-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01791-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01791-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01791-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01791-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085703430","display_name":"P. Jean\u2010Jacques Herings","orcid":"https://orcid.org/0000-0002-1100-8601"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"P. Jean-Jacques Herings","raw_affiliation_strings":["Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-1100-8601","affiliations":[{"raw_affiliation_string":"Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036143596","display_name":"Yang Zhan","orcid":"https://orcid.org/0000-0001-5772-7321"},"institutions":[{"id":"https://openalex.org/I4210105229","display_name":"City University of Hong Kong, Shenzhen Research Institute","ror":"https://ror.org/00xc0ma20","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210105229"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Zhan","raw_affiliation_strings":["Department of Management Science and Engineering, School of Management and Engineering, Nanjing University, Nanjing, China","Shenzhen Research Institute of Nanjing University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-5772-7321","affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, School of Management and Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Shenzhen Research Institute of Nanjing University, Shenzhen, China","institution_ids":["https://openalex.org/I4210105229","https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036143596"],"corresponding_institution_ids":["https://openalex.org/I4210105229","https://openalex.org/I881766915"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.4511,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63052902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"203","issue":"1-2","first_page":"443","last_page":"473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game 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/T11031","display_name":"Game 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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.953378438949585},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6575163006782532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.637000322341919},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6055177450180054},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5724343061447144},{"id":"https://openalex.org/keywords/tracing","display_name":"Tracing","score":0.548176109790802},{"id":"https://openalex.org/keywords/network-formation","display_name":"Network formation","score":0.5469191670417786},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4652221202850342},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38474035263061523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3030306100845337},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.249790757894516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23991012573242188}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.953378438949585},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6575163006782532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.637000322341919},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6055177450180054},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5724343061447144},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.548176109790802},{"id":"https://openalex.org/C68416499","wikidata":"https://www.wikidata.org/wiki/Q7001033","display_name":"Network formation","level":2,"score":0.5469191670417786},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4652221202850342},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38474035263061523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3030306100845337},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.249790757894516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23991012573242188},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-022-01791-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01791-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01791-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:tilburguniversity.edu:openaire/85575ed5-21ab-491c-b0d8-c896766a2137","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/85575ed5-21ab-491c-b0d8-c896766a2137","pdf_url":null,"source":{"id":"https://openalex.org/S4406923027","display_name":"Tilburg University Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herings, P J J & Zhan, Y 2024, 'The computation of pairwise stable networks', Mathematical Programming, vol. 203, no. 1-2, pp. 443-473. https://doi.org/10.1007/s10107-022-01791-x","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10107-022-01791-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01791-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01791-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4482398830","display_name":null,"funder_award_id":"72171114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4220954123.pdf","grobid_xml":"https://content.openalex.org/works/W4220954123.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1981305496","https://openalex.org/W1988199017","https://openalex.org/W2026552844","https://openalex.org/W2035681301","https://openalex.org/W2037032585","https://openalex.org/W2054951214","https://openalex.org/W2057145339","https://openalex.org/W2089649903","https://openalex.org/W2126064738","https://openalex.org/W2154374772","https://openalex.org/W2164412965","https://openalex.org/W2170628846","https://openalex.org/W2318205745","https://openalex.org/W2752994276","https://openalex.org/W3022532116","https://openalex.org/W3023735859","https://openalex.org/W3035672369","https://openalex.org/W3037631136","https://openalex.org/W3123611673","https://openalex.org/W3123838870","https://openalex.org/W3125241557","https://openalex.org/W4229903236","https://openalex.org/W4245882032"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W3122271686","https://openalex.org/W3122532854","https://openalex.org/W4220954123","https://openalex.org/W2054889876","https://openalex.org/W3123501422"],"abstract_inverted_index":{"Abstract":[0],"One":[1],"of":[2,40,47,75,84,103],"the":[3,38,53,56,60,68,82,93,96],"most":[4],"important":[5],"stability":[6,42],"concepts":[7],"for":[8,27,64],"network":[9,30,57,69],"formation":[10,31,70],"is":[11,20,88],"pairwise":[12,24,41,85],"stability.":[13],"We":[14,91],"develop":[15],"a":[16,28,44,48,73,101],"homotopy":[17],"algorithm":[18,94],"that":[19,81],"effective":[21],"in":[22,55],"computing":[23],"stable":[25,86],"networks":[26,87],"generic":[29],"problem.":[32,71],"To":[33],"do":[34],"so,":[35],"we":[36,79],"reformulate":[37],"concept":[39],"as":[43],"Nash":[45],"equilibrium":[46],"non-cooperative":[49,65],"game":[50],"played":[51],"by":[52],"links":[54],"and":[58,99],"adapt":[59],"linear":[61],"tracing":[62],"procedure":[63],"games":[66],"to":[67,95],"As":[72],"by-product":[74],"our":[76],"main":[77],"result,":[78],"obtain":[80,100],"number":[83,102],"generically":[89],"odd.":[90],"apply":[92],"connections":[97],"model":[98],"novel":[104],"insights.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}