{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T03:05:44Z","timestamp":1648868744765},"reference-count":51,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1984,1,1]],"date-time":"1984-01-01T00:00:00Z","timestamp":441763200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers & Operations Research"],"published-print":{"date-parts":[[1984,1]]},"DOI":"10.1016\/0305-0548(69)90008-2","type":"journal-article","created":{"date-parts":[[2003,6,30]],"date-time":"2003-06-30T12:15:45Z","timestamp":1056975345000},"page":"157-178","source":"Crossref","is-referenced-by-count":1,"title":["Parametric fixed point algorithms with applications to economic policy analysis"],"prefix":"10.1016","volume":"11","author":[{"given":"Kose","family":"John","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0305-0548(69)90008-2_bib1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/0047-2727(77)90026-3","article-title":"The effects of urban transportation changes: a general equilibrium simulation","volume":"8","author":"Arnott","year":"1977","journal-title":"J. Public Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib2","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/0094-1190(77)90002-X","article-title":"The effects of property tax: a general equilibrium simulation","volume":"4","author":"Arnott","year":"1977","journal-title":"J. Urban Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib3","series-title":"General Competitive Analysis","author":"Arrow","year":"1971"},{"key":"10.1016\/0305-0548(69)90008-2_bib4","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/0304-4068(75)90017-8","article-title":"Some results on uniqueness and on stability of equilibrium in general equilibrium theory","volume":"2","author":"Balasko","year":"1975","journal-title":"J. Math. Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib5","unstructured":"Cowles Foundation for Research in Economics, Report of Research Activities: 1 July 1970\u201330 June 1973. Yale University."},{"key":"10.1016\/0305-0548(69)90008-2_bib6","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/BF01582108","article-title":"An algorithm for a piecewise linear model of trade and production with negative prices and bankruptcy","volume":"16","author":"Dantzig","year":"1979","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib7","series-title":"Theory of Value","author":"Debreu","year":"1959"},{"key":"10.1016\/0305-0548(69)90008-2_bib8","doi-asserted-by":"crossref","first-page":"603","DOI":"10.2307\/1912956","article-title":"Smooth preferences","volume":"40","author":"Debreu","year":"1972","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib9","series-title":"Fixed Points: Algorithms and Applications","article-title":"Pricing for congestion in telephone networks: a numerical example","author":"Deschamps","year":"1977"},{"key":"10.1016\/0305-0548(69)90008-2_bib10","doi-asserted-by":"crossref","first-page":"997","DOI":"10.2307\/1909672","article-title":"Equilibrium analysis of exchange economies with indivisible commodities","volume":"39","author":"Dierker","year":"1971","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib11","doi-asserted-by":"crossref","first-page":"951","DOI":"10.2307\/1912091","article-title":"Two remarks on the number of equilibria of an economy","volume":"38","author":"Dierker","year":"1972","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib12","series-title":"Topological Methods in Walrasian Economics","author":"Dierker","year":"1974"},{"key":"10.1016\/0305-0548(69)90008-2_bib13","doi-asserted-by":"crossref","first-page":"867","DOI":"10.2307\/1912074","article-title":"The local uniqueness of equilibria","volume":"40","author":"Dierker","year":"1972","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib14","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0304-4068(75)90021-X","article-title":"Equilibria and core of large economies","volume":"2","author":"Dierker","year":"1975","journal-title":"J. Math. Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib15","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0304-4068(75)90013-0","article-title":"Smooth preferences and the regularity of equilibria","volume":"2","author":"Dierker","year":"1975","journal-title":"J. Math. Economics"},{"issue":"2","key":"10.1016\/0305-0548(69)90008-2_bib16","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1137\/0121027","article-title":"Computing Kakutani fixed points","volume":"21","author":"Eaves","year":"1971","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/0305-0548(69)90008-2_bib17","first-page":"73","article-title":"A short course in solving equations with piecewise linear homotopies","volume":"9","author":"Eaves","year":"1976"},{"key":"10.1016\/0305-0548(69)90008-2_bib18","first-page":"237","article-title":"Homotopies for computation of fixed points on unbounded regions","volume":"3","author":"Eaves","year":"1972","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/moor.1.1.1","article-title":"The solution of systems of piecewise linear equations","volume":"1","author":"Eaves","year":"1976","journal-title":"Math. Ops. Res."},{"issue":"2","key":"10.1016\/0305-0548(69)90008-2_bib20","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/BF01585516","article-title":"A set intersection theorem and applications","volume":"7","author":"Freidenfelds","year":"1974","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib21","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0012-365X(74)90037-5","article-title":"A unified approach to complementarity in optimization","volume":"7","author":"Gould","year":"1974","journal-title":"Discrete Math."},{"issue":"3","key":"10.1016\/0305-0548(69)90008-2_bib22","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/0022-0531(72)90052-X","article-title":"On the definition and computation of a capital stock invariant under optimization","volume":"5","author":"Hansen","year":"1972","journal-title":"J. Economic Theory"},{"key":"10.1016\/0305-0548(69)90008-2_bib23","doi-asserted-by":"crossref","first-page":"547","DOI":"10.2307\/1913981","article-title":"Solutions of general equilibrium problems for a trading world","volume":"44","author":"Helpman","year":"1976","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib24","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/0022-0531(72)90123-8","article-title":"Continuity of the equilibrium set correspondence","volume":"5","author":"Hildenbrand","year":"1972","journal-title":"J. Economic Theory"},{"key":"10.1016\/0305-0548(69)90008-2_bib25","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0022-0531(70)90003-7","article-title":"On economies with many agents","volume":"2","author":"Hildenbrand","year":"1970","journal-title":"J. Economic Theory"},{"key":"10.1016\/0305-0548(69)90008-2_bib26","first-page":"419","article-title":"Market efficiency in an Arrow-Debreu economy: a closer look","volume":"68","author":"John","year":"1978","journal-title":"Am. Economic Rev."},{"key":"10.1016\/0305-0548(69)90008-2_bib27","article-title":"Computing equilibrium paths of continuous families of economies: a homotopy technique and algorithms","author":"John","year":"1978"},{"key":"10.1016\/0305-0548(69)90008-2_bib28","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1215\/S0012-7094-41-00838-4","article-title":"A generalization of Brouwer's fixed point theorem","volume":"8","author":"Kakutani","year":"1941","journal-title":"Duke Math. J."},{"key":"10.1016\/0305-0548(69)90008-2_bib29","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF00933874","article-title":"The sandwich method for finding fixed points","volume":"17","author":"Kuhn","year":"1975","journal-title":"J. Optim. Theory Applics."},{"key":"10.1016\/0305-0548(69)90008-2_bib30","first-page":"181","article-title":"A lexicographic complementary pivot algorithm for the solution of bimatrix games","volume":"7","author":"Majthay","year":"1972","journal-title":"Studia Scientiarum Mathematicarum Hungarica"},{"key":"10.1016\/0305-0548(69)90008-2_bib31","doi-asserted-by":"crossref","first-page":"1595","DOI":"10.2307\/1911924","article-title":"Computation of competitive equilibria by a sequence of linear programs","volume":"48","author":"Manne","year":"1980","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib32","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1111\/j.1467-999X.1960.tb00275.x","article-title":"Welfare economics and existence of an equilibrium for a competitive economy","volume":"12","author":"Negishi","year":"1960","journal-title":"Metroeconomica"},{"key":"10.1016\/0305-0548(69)90008-2_bib33","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1287\/moor.6.1.129","article-title":"A modified integer labeling for complementarity algorithms","volume":"6","author":"Rieser","year":"1981","journal-title":"Math. Ops. Res."},{"key":"10.1016\/0305-0548(69)90008-2_bib34","doi-asserted-by":"crossref","first-page":"201","DOI":"10.2307\/2525894","article-title":"Existence of a general equilibrium in multi-regional economies with public goods","volume":"16","author":"Richter","year":"1975","journal-title":"Int. Economic Rev."},{"issue":"5","key":"10.1016\/0305-0548(69)90008-2_bib35","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1137\/0115116","article-title":"The approximation of fixed points of a continuous mapping","volume":"15","author":"Scarf","year":"1967","journal-title":"SIAM J. Appl. Math."},{"issue":"1","key":"10.1016\/0305-0548(69)90008-2_bib36","doi-asserted-by":"crossref","first-page":"50","DOI":"10.2307\/1909383","article-title":"The core of an N-person game","volume":"35","author":"Scarf","year":"1967","journal-title":"Econometrica"},{"key":"10.1016\/0305-0548(69)90008-2_bib37","series-title":"Computation of Economic Equilibria","author":"Scarf","year":"1973"},{"key":"10.1016\/0305-0548(69)90008-2_bib38","article-title":"General equilibrium with taxes: existence, computation, and a capital income taxation application","author":"Shoven","year":"1973"},{"key":"10.1016\/0305-0548(69)90008-2_bib39","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0531(74)90002-7","article-title":"A proof of the existence of a general equilibrium with ad valorem commodity taxes","volume":"8","author":"Shoven","year":"1974","journal-title":"J. Economic Theory"},{"key":"10.1016\/0305-0548(69)90008-2_bib40","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1086\/260511","article-title":"The incidence and efficiency effects of taxes on income from capital","volume":"84","author":"Shoven","year":"1976","journal-title":"J. Political Economy"},{"key":"10.1016\/0305-0548(69)90008-2_bib41","doi-asserted-by":"crossref","first-page":"475","DOI":"10.2307\/2296582","article-title":"General equilibrium with taxes: a computational procedure and an existence proof","volume":"40","author":"Shoven","year":"1973","journal-title":"Economic Studies"},{"key":"10.1016\/0305-0548(69)90008-2_bib42","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0022-1996(74)90015-4","article-title":"On the computation of competitive equilibrium on international markets with tariffs","volume":"4","author":"Shoven","year":"1974","journal-title":"J. Int. Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib43","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/0304-4068(76)90019-7","article-title":"A convergent process of price adjustment and global Newton methods","volume":"3","author":"Smale","year":"1976","journal-title":"J. Math. Economics"},{"key":"10.1016\/0305-0548(69)90008-2_bib44","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1007\/BF01580679","article-title":"On triangulations for computing fixed points","volume":"10","author":"Todd","year":"1976","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib45","series-title":"Fixed Points: Algorithms and Applications","article-title":"Union Jack triangulations","author":"Todd","year":"1977"},{"key":"10.1016\/0305-0548(69)90008-2_bib46","series-title":"The Computation of Fixed Points and Applications","author":"Todd","year":"1976"},{"key":"10.1016\/0305-0548(69)90008-2_bib47","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1007\/BF01582109","article-title":"Pivotal methods for computing equilibrium points: unified approach and new restart algorithm","volume":"16","author":"Tuy","year":"1979","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib48","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1007\/BF01581629","article-title":"A new subdivision for computing fixed points with a homotopy algorithm","volume":"19","author":"van der Laan","year":"1980","journal-title":"Math. Prog."},{"key":"10.1016\/0305-0548(69)90008-2_bib49","series-title":"Elements of Pure Economies","author":"Walras","year":"1954"},{"key":"10.1016\/0305-0548(69)90008-2_bib50","series-title":"Fixed Points: Algorithms and Applications","article-title":"Fiscal harmonization in the EEC; some preliminary findings of fixed point calculations","author":"Whalley","year":"1977"},{"key":"10.1016\/0305-0548(69)90008-2_bib51","doi-asserted-by":"crossref","first-page":"194","DOI":"10.2307\/1928816","article-title":"A simulation experiment into the numerical properties of general equilibrium models of factor market distortions","volume":"59","author":"Whalley","year":"1977","journal-title":"Rev. Economics Statistics"}],"container-title":["Computers & Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0305054869900082?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0305054869900082?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,18]],"date-time":"2019-03-18T12:50:30Z","timestamp":1552913430000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0305054869900082"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,1]]},"references-count":51,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1984,1]]}},"alternative-id":["0305054869900082"],"URL":"https:\/\/doi.org\/10.1016\/0305-0548(69)90008-2","relation":{},"ISSN":["0305-0548"],"issn-type":[{"value":"0305-0548","type":"print"}],"subject":[],"published":{"date-parts":[[1984,1]]}}}