{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,3]],"date-time":"2026-09-03T06:57:31Z","timestamp":1788418651339,"version":"build-2803163510"},"reference-count":18,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T00:00:00Z","timestamp":1287360000000},"content-version":"unspecified","delay-in-days":9087,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econ Theory"],"published-print":{"date-parts":[[1985,12]]},"abstract":"<jats:p>Linear rational expectations models generally have a large number of solutions. It is thus important to describe them exhaustively in order to study their properties and subsequently estimate which solution best fits the data. In this paper, a global approach is suggested allowing a simultaneous treatment of all possible cases. The fundamental concepts are the revision processes appearing in the procedure of updating expectations. It isfound that the set of solutions is completely described by using a limitednumber of these processes. We show how the method may be applied to determine the set of stationary solutions admitting an infinite moving-average representation. We give a natural parametrization of this set and discuss the exact number of independent parameters.<\/jats:p>","DOI":"10.1017\/s0266466600011257","type":"journal-article","created":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T09:12:12Z","timestamp":1287393132000},"page":"341-368","source":"Crossref","is-referenced-by-count":42,"title":["Solutions of Linear Rational Expectations Models"],"prefix":"10.1017","volume":"1","author":[{"given":"L.","family":"Broze","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C.","family":"Gourieroux","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Szafarz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2010,10,18]]},"reference":[{"key":"S0266466600011257_ref010","doi-asserted-by":"publisher","DOI":"10.2307\/2525715"},{"key":"S0266466600011257_ref011","doi-asserted-by":"publisher","DOI":"10.2307\/1909635"},{"key":"S0266466600011257_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1882598"},{"key":"S0266466600011257_ref003","first-page":"210","volume-title":"Alternative Approaches to Time Series Analysis (Proceedings of the 3rd Franco-Belgian Meeting of Statisticians, November 1982)","author":"Broze","year":"1984"},{"key":"S0266466600011257_ref017","doi-asserted-by":"publisher","DOI":"10.2307\/1912018"},{"key":"S0266466600011257_ref006","volume-title":"Econometrics","author":"Chow","year":"1983"},{"key":"S0266466600011257_ref002","first-page":"114","article-title":"Backward and forward solutions for economies with rational expectations","volume":"69","author":"Blanchard","year":"1979","journal-title":"American Economic Review, Papers and Proceedings"},{"key":"S0266466600011257_ref015","doi-asserted-by":"publisher","DOI":"10.2307\/1912306"},{"key":"S0266466600011257_ref007","unstructured":"Evans, G. and Honkapohja, S. . A complete characterization of ARMA solutions to linear rational expectations models. University of Helsinki, Working Paper 1984."},{"key":"S0266466600011257_ref008","first-page":"15","article-title":"Mod\u00e8les lin\u00e9aires avec anticipations rationnelles: Solutions et crit\u00e8res de s\u00e9lection","volume":"23","author":"Gourieroux","year":"1981","journal-title":"Cahiers du CNRS"},{"key":"S0266466600011257_ref018","unstructured":"Wegge, L. Identifiability of structural models containing Muthrational current and future expectations. University of California Working Paper 233, 1984."},{"key":"S0266466600011257_ref012","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(81)90036-1"},{"key":"S0266466600011257_ref005","unstructured":"Broze, L. and Szafarz, A. . Forme r\u00e9duite d'un mod\u00e8le g\u00e9n\u00e9ral \u00e0 anticipations rationnelles. Cahiers du CERO, to appear."},{"key":"S0266466600011257_ref014","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3932(78)90032-6"},{"key":"S0266466600011257_ref016","doi-asserted-by":"publisher","DOI":"10.1016\/0014-2921(81)90008-8"},{"key":"S0266466600011257_ref009","doi-asserted-by":"publisher","DOI":"10.2307\/1912635"},{"key":"S0266466600011257_ref013","unstructured":"Sargan, J. D. Alternative models for rational expectationsin some simple irregular cases. Discussion Paper, London School of Economics, 1984."},{"key":"S0266466600011257_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0014-2921(84)90015-1"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466600011257","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T05:02:00Z","timestamp":1636434120000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466600011257\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,12]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1985,12]]}},"alternative-id":["S0266466600011257"],"URL":"https:\/\/doi.org\/10.1017\/s0266466600011257","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,12]]}}}