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On the Mathematical Basis of Inter-temporal Optimization

Author

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  • David Hendry
  • Grayham E. Mizon

Abstract

Almost no economic time series is either weakly or strictly stationary: distributions of economic variables shift over time. Thus, the present treatment of expectations in economic theories of inter-temporal optimization is inappropriate. It cannot be proved that conditional expectations based on the current distribution are minimum mean-square error 1-step ahead predictors when unanticipated breaks occur, and consequentially, the law of iterated expectations then fails inter-temporally. Asecond consequence is that dynamic stochastic general equilibrium models are intrinsically non-structural.

Suggested Citation

  • David Hendry & Grayham E. Mizon, 2010. "On the Mathematical Basis of Inter-temporal Optimization," Economics Series Working Papers 497, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:497
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Elsewhere
      by Robert Vienneau in Thoughts on Economics on 2010-09-18 17:05:00

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    Cited by:

    1. Eugenio Caverzasi & Alberto Russo, 2018. "Toward a new microfounded macroeconomics in the wake of the crisis," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 27(6), pages 999-1014.
    2. De Grauwe, Paul & Macchiarelli, Corrado, 2015. "Animal spirits and credit cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 95-117.
    3. Giovanni Dosi & Mauro Napoletano & Andrea Roventini & Joseph E. Stiglitz & Tania Treibich, 2020. "Rational Heuristics? Expectations And Behaviors In Evolving Economies With Heterogeneous Interacting Agents," Economic Inquiry, Western Economic Association International, vol. 58(3), pages 1487-1516, July.
    4. repec:hal:spmain:info:hdl:2441/31dhti786q9k0q2i04klh6no54 is not listed on IDEAS
    5. Alan Kirman, 2014. "Is it rational to have rational expectations?," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 13(1), pages 29-48, June.
    6. David Hendry & Grayham E. Mizon, 2012. "Forecasting from Structural Econometric Models," Economics Series Working Papers 597, University of Oxford, Department of Economics.
    7. David Hendry, 2010. "Climate Change: Lessons for our Future from the Distant Past," Economics Series Working Papers 485, University of Oxford, Department of Economics.
    8. Giovanni Dosi & Andrea Roventini, 2019. "More is different ... and complex! the case for agent-based macroeconomics," Journal of Evolutionary Economics, Springer, vol. 29(1), pages 1-37, March.
    9. Adriana Cornea-Madeira & Cars Hommes & Domenico Massaro, 2019. "Behavioral Heterogeneity in U.S. Inflation Dynamics," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(2), pages 288-300, April.
    10. André K. Anundsen & Ragnar Nymoen & Tord S. Krogh & Jon Vislie, 2012. "The macroeconomics of Trygve Haavelmo," Nordic Journal of Political Economy, Nordic Journal of Political Economy, vol. 37, pages 1-2.
    11. Jennifer L. Castle & Jurgen A. Doornik & David F. Hendry & Ragnar Nymoen, 2014. "Misspecification Testing: Non-Invariance of Expectations Models of Inflation," Econometric Reviews, Taylor & Francis Journals, vol. 33(5-6), pages 553-574, August.
    12. Kukacka, Jiri & Sacht, Stephen, 2023. "Estimation of heuristic switching in behavioral macroeconomic models," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    13. Catullo, Ermanno & Gallegati, Mauro & Russo, Alberto, 2022. "Forecasting in a complex environment: Machine learning sales expectations in a stock flow consistent agent-based simulation model," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    14. Davide Bazzana, 2020. "Ageing population and pension system sustainability: reforms and redistributive implications," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(3), pages 971-992, October.
    15. repec:spo:wpmain:info:hdl:2441/31dhti786q9k0q2i04klh6no54 is not listed on IDEAS
    16. Kevin Hoover & Katarina Juselius, 2012. "Experiments, Passive Observation and Scenario Analysis: Trygve Haavelmo and the Cointegrated Vector Autoregression," Discussion Papers 12-16, University of Copenhagen. Department of Economics.
    17. Alan Kirman, 2016. "Complexity and Economic Policy: A Paradigm Shift or a Change in Perspective? A Review Essay on David Colander and Roland Kupers's Complexity and the Art of Public Policy," Journal of Economic Literature, American Economic Association, vol. 54(2), pages 534-572, June.
    18. Jennifer Castle & David Hendry & Oleg Kitov, 2013. "Forecasting and Nowcasting Macroeconomic Variables: A Methodological Overview," Economics Series Working Papers 674, University of Oxford, Department of Economics.

    More about this item

    Keywords

    Inter-temporal optimization; Conditional expectations; Law of iterated expectations; Unanticipated breaks;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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