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The Solution of Linear Difference Models under Rational Expectations
Abstract
IN HIS SURVEY ON RATIONAL EXPECTATIONS, R. Shiller indicates that the difficulty of obtaining explicit solutions for linear difference models under rational expectations may have hindered their use [14, p. 27]. The present paper attempts to remedy that problem by giving the explicit solution for an important subclass of the model Shiller refers to as the general linear difference model. Section 1 presents the form of the model for which the solution is derived and shows how particular models can be put in this form. Section 2 gives the solution together with the conditions for existence and uniqueness. 1. THE MODEL The model is given by (la), (lb), and (1c) as follows:
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Citations
Cited by
Testing for Indeterminacy: An Application to U.S. Monetary Policy
Lubik, T. A., & Schorfheide, F. (2004) · American Economic Review · doi:10.1257/000282804322970760 · Cited by 868
Kumar, G., Saha, R., Rai, M. K., Thomas, R., & Kim, T.-H. (2019) · IEEE Internet of Things Journal · doi:10.1109/jiot.2019.2911969 · Cited by 145
Metadata
- Authors
- Blanchard, O. J., & Kahn, C. M.
- Venue
- Econometrica
- Publisher
- JSTOR
- Published
- 1980-07
- Volume
- 48
- Issue
- 5
- Pages
- 1305
- ISSN
- 0012-9682 (ISSN-L)
- OpenAlex
- W2014077903
- Cited by
- 2,407
- References
- 0
- FWCI
- 24.17
- Type
- journal article
- Language
- en
- Open access
- closed
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: The Solution of Linear Difference Models under Rational Expectations. https://app.cochat.ai/papers/10.2307/1912186
- The paper
- Blanchard, O. J., & Kahn, C. M. (1980). The Solution of Linear Difference Models under Rational Expectations. Econometrica. https://doi.org/10.2307/1912186
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.