{"id":"https://openalex.org/W2034964260","doi":"https://doi.org/10.1007/bf01589334","title":"A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity spatial model","display_name":"A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity spatial model","publication_year":1981,"publication_date":"1981-12-01","ids":{"openalex":"https://openalex.org/W2034964260","doi":"https://doi.org/10.1007/bf01589334","mag":"2034964260"},"language":"en","primary_location":{"id":"doi:10.1007/bf01589334","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589334","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002789695","display_name":"Jong\u2010Shi Pang","orcid":"https://orcid.org/0000-0002-2224-6787"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jong-Shi Pang","raw_affiliation_strings":["G.S.I.A., Carnegie-Mellon University, 15213, Pittsburgh, PA, USA","G.S.I.A., Carnegie-Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"G.S.I.A., Carnegie-Mellon University, 15213, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"G.S.I.A., Carnegie-Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079797469","display_name":"Patrick S. C. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick S. C. Lee","raw_affiliation_strings":["G.S.I.A., Carnegie-Mellon University, 15213, Pittsburgh, PA, USA","G.S.I.A., Carnegie-Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"G.S.I.A., Carnegie-Mellon University, 15213, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"G.S.I.A., Carnegie-Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002789695"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":11.5567,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.97775219,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"1","first_page":"81","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11014","display_name":"Regional Economics and Spatial Analysis","score":0.9377999901771545,"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"}},"topics":[{"id":"https://openalex.org/T11014","display_name":"Regional Economics and Spatial Analysis","score":0.9377999901771545,"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/complementarity","display_name":"Complementarity (molecular biology)","score":0.7603628039360046},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6699042916297913},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.607807993888855},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.6005873680114746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5930646061897278},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.5707827806472778},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.566495418548584},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5547557473182678},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5496809482574463},{"id":"https://openalex.org/keywords/orthant","display_name":"Orthant","score":0.47193118929862976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4236880838871002},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3027750849723816},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11508870124816895},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08747914433479309}],"concepts":[{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.7603628039360046},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6699042916297913},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.607807993888855},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.6005873680114746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5930646061897278},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.5707827806472778},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.566495418548584},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5547557473182678},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5496809482574463},{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.47193118929862976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4236880838871002},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3027750849723816},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11508870124816895},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08747914433479309},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01589334","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589334","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:ADA066518","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&amp;verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA066518","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC AND NTIS","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W47065882","https://openalex.org/W1987715463","https://openalex.org/W1996702470","https://openalex.org/W2024936298","https://openalex.org/W2027090377","https://openalex.org/W2036370633","https://openalex.org/W2058037878","https://openalex.org/W2064299112","https://openalex.org/W2078433128","https://openalex.org/W2101196233","https://openalex.org/W2105404299","https://openalex.org/W2122472260","https://openalex.org/W2127470768","https://openalex.org/W2138335682","https://openalex.org/W2596951540","https://openalex.org/W3019661039","https://openalex.org/W4211057691","https://openalex.org/W4301216918"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2063320018","https://openalex.org/W2042813889","https://openalex.org/W2358901572","https://openalex.org/W2004537157","https://openalex.org/W2735070409","https://openalex.org/W2028943836","https://openalex.org/W4220847489","https://openalex.org/W2091810828","https://openalex.org/W3167348997"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
