Determinate perfect foresight forecasting in overlapping generations models
Eungsik Kim () and
Stephen Spear ()
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Eungsik Kim: University of Kansas
Economic Theory, 2021, vol. 71, issue 2, No 5, 505-531
Abstract:
Abstract In this paper, we show the existence of the perfect foresight forecast functions which generate unique and stable equilibrium price dynamics for comparative static analysis and calibration in multi-period overlapping generations models with cohort heterogeneity, multiple goods, and fiat money. We also show how to recover such forecast functions up to the first order using the eigenvalues and eigenvectors of the Jacobian matrix of the equilibrium conditions. In a special one good case, our construction of the forecast functions requires information about only the eigenvalues. In addition, we demonstrate that the stable subspace where the price sequences generated by the linearized forecast functions exist is also an invariant cyclic subspace.
Keywords: Perfect foresight forecasts; Determinacy of equilibrium; Overlapping generations models; Multi-periods; Multi-goods (search for similar items in EconPapers)
JEL-codes: C61 D51 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:joecth:v:71:y:2021:i:2:d:10.1007_s00199-020-01254-4
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DOI: 10.1007/s00199-020-01254-4
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