{"id":"https://openalex.org/W2044584900","doi":"https://doi.org/10.1177/109434209300700304","title":"A Numerical Algorithm for Solving Models With Incomplete Markets","display_name":"A Numerical Algorithm for Solving Models With Incomplete Markets","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2044584900","doi":"https://doi.org/10.1177/109434209300700304","mag":"2044584900"},"language":"en","primary_location":{"id":"doi:10.1177/109434209300700304","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209300700304","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","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/A5051273234","display_name":"Ay\u015fe \u0130mrohoro\u011flu","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ay\u015fe Imrohoro\u011flu","raw_affiliation_strings":["DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023383364","display_name":"Selahatt\u0131n \u0130mrohoro\u011flu","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Selahattin Imrohoroglu","raw_affiliation_strings":["DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055655249","display_name":"Douglas H. Joines","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas H. Joines","raw_affiliation_strings":["DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL\rOF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,\rCALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"DEPARTMENT OF FINANCE AND BUSINESS ECONOMICS SCHOOL#R#OF BUSINESS ADMINISTRATION UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES,#R#CALIFORNIA 90089-1421","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051273234"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":3.7711,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.93207685,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":"3","first_page":"212","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9970999956130981,"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/T12137","display_name":"Economic theories and models","score":0.9970999956130981,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6914344429969788},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5519647598266602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5268056392669678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5041087865829468},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48679348826408386},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47138410806655884},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4566565752029419},{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.44992977380752563},{"id":"https://openalex.org/keywords/incomplete-markets","display_name":"Incomplete markets","score":0.43710651993751526},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43388354778289795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3851829171180725},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3822159767150879},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12222462892532349},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09373345971107483},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07732072472572327}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6914344429969788},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5519647598266602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5268056392669678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5041087865829468},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48679348826408386},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47138410806655884},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4566565752029419},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.44992977380752563},{"id":"https://openalex.org/C109354906","wikidata":"https://www.wikidata.org/wiki/Q6015174","display_name":"Incomplete markets","level":2,"score":0.43710651993751526},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43388354778289795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3851829171180725},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3822159767150879},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12222462892532349},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09373345971107483},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07732072472572327},{"id":"https://openalex.org/C133425853","wikidata":"https://www.wikidata.org/wiki/Q60571","display_name":"Neoclassical economics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/109434209300700304","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209300700304","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1479909230","https://openalex.org/W1537618343","https://openalex.org/W1556979268","https://openalex.org/W1571696390","https://openalex.org/W1574786337","https://openalex.org/W1585761956","https://openalex.org/W1965941457","https://openalex.org/W1990306940","https://openalex.org/W2014033196","https://openalex.org/W2019265923","https://openalex.org/W2028986970","https://openalex.org/W2038367498","https://openalex.org/W2055543102","https://openalex.org/W2055636456","https://openalex.org/W2060113329","https://openalex.org/W2061044658","https://openalex.org/W2079406917","https://openalex.org/W2085729359","https://openalex.org/W2088133319","https://openalex.org/W2096136442","https://openalex.org/W2107958788","https://openalex.org/W2114907228","https://openalex.org/W2129822481","https://openalex.org/W2132807882","https://openalex.org/W2137652298","https://openalex.org/W2146207816","https://openalex.org/W2165313824","https://openalex.org/W2327680615","https://openalex.org/W2928717788","https://openalex.org/W3122560306","https://openalex.org/W3122664468","https://openalex.org/W3124380383","https://openalex.org/W3124606913","https://openalex.org/W3125068246","https://openalex.org/W4249396096","https://openalex.org/W4252494362","https://openalex.org/W4299846046"],"related_works":["https://openalex.org/W2061112603","https://openalex.org/W2998137678","https://openalex.org/W2990393949","https://openalex.org/W2056927789","https://openalex.org/W2385038155","https://openalex.org/W289020520","https://openalex.org/W2118005002","https://openalex.org/W3105847064","https://openalex.org/W3122875340","https://openalex.org/W2044584900"],"abstract_inverted_index":{"We":[0],"describe":[1],"an":[2,57,104],"incomplete":[3],"markets":[4,30],"model":[5,19],"and":[6,79,84,95,129],"outline":[7,69],"a":[8,70,87],"numerical":[9,71,88],"solution":[10,59,72],"algorithm":[11,73,116],"to":[12,106],"compute":[13],"its":[14],"steady-":[15,109],"state":[16,77,110],"equilibrium.":[17],"The":[18,115],"departs":[20],"from":[21],"the":[22,33,52,64,76,80,92,108,113,121,125],"Arrow-":[23],"Debreu":[24],"world":[25],"of":[26,35,97,112],"complete":[27],"contingent":[28],"claims":[29],"by":[31],"assuming":[32],"presence":[34],"borrowing":[36],"constraints.":[37],"Solution":[38],"methods":[39],"that":[40,50,74,90],"rely":[41],"on":[42,86,124],"approximations":[43],"around":[44],"some":[45],"reference":[46],"point":[47],"or":[48],"those":[49],"use":[51],"Euler":[53],"equa":[54],"tions":[55],"in":[56,103],"interior":[58],"are":[60],"not":[61],"suitable":[62],"for":[63,100],"present":[65],"model.":[66,114],"Rather,":[67],"we":[68],"discretizes":[75],"space":[78,83],"deci":[81],"sion":[82],"iterates":[85],"procedure":[89],"obtains":[91],"decision":[93],"rules":[94],"distributions":[96],"agent":[98],"types":[99],"all":[101],"cohorts":[102],"attempt":[105],"find":[107],"equilibrium":[111],"is":[117],"imple":[118],"mented":[119],"using":[120],"Fortran":[122],"compilers":[123],"Minnesota":[126],"CRAY":[127,132],"X-MP":[128],"San":[130],"Diego":[131],"Y-MP/8-864.":[133]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}