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Stationarity of Econometric Learning with Bounded Memory and a Predicted State Variable

Author

Listed:
  • Tatiana Damjanovic

    (Department of Economics, University of Exeter)

  • Sarunas Girdenas

    (Department of Economics, University of Exeter)

  • Keqing Liu

    (Department of Economics, University of Exeter)

Abstract

In this paper, we consider a model where producers set their prices based on their prediction of the aggregated price level and an exogenous variable, which can be a demand or a cost-push shock. To form their expectations, they use OLS-type econometric learning with bounded memory. We show that the aggregated price follows the random coefficient autoregressive process and we prove that this process is covariance stationary.

Suggested Citation

  • Tatiana Damjanovic & Sarunas Girdenas & Keqing Liu, 2015. "Stationarity of Econometric Learning with Bounded Memory and a Predicted State Variable," Discussion Papers 1502, University of Exeter, Department of Economics.
    • Handle: RePEc:exe:wpaper:1502
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    References listed on IDEAS

    as
    1. Conlisk, John, 1974. "Stability in a Random Coefficient Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(2), pages 529-533, June.
    2. Honkapohja, Seppo & Mitra, Kaushik, 2003. "Learning with bounded memory in stochastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1437-1457, June.
    3. Berardi, Michele & Galimberti, Jaqueson K., 2014. "A note on the representative adaptive learning algorithm," Economics Letters, Elsevier, vol. 124(1), pages 104-107.
    4. Mordecai Ezekiel, 1938. "The Cobweb Theorem," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 52(2), pages 255-280.
    5. George W. Evans & Seppo Honkapohja, 2000. "Convergence for difference equations with vanishing time-dependence, with applications to adaptive learning," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 717-725.
    6. Sargent, Thomas J., 1993. "Bounded Rationality in Macroeconomics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198288695.
    7. Nicholas Kaldor, 1934. "A Classificatory Note on the Determinateness of Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 1(2), pages 122-136.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    econometric learning; bounded memory; random coefficient autoregressive process; stationarity.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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