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Complex Remanence vs. Simple Persistence: Are Hysteresis and Unit-Root Processes observationally equivalent?

Author

Listed:
  • bruno amable

    (Paris X CEPREMAP)

  • jerome henry

    (European Central Bank)

  • frederic lordon

    (CNRS CEPREMAP)

  • richard topol

    (CNRS CREA)

Abstract

The hysteresis terminology has mainly been used in two fields of economics, unemplyment and international trade, with a different meaning however, involving either linear autoregressive macro behaviour or non- linear heterogenous mico behaviour. There may nonetheless be observational equivalence between the 'persistence' characterising unit- root processes and the 'remanence' created by the aggregation of non- linear dynamics. Stochastic simulations are employed to analyse the properties of the output of an hysteretic system, subject to white noise and random walk inputs. Non-linear hysteretic systems are found to generate a sizeable proportion - two-thirds - of stationary output from stationary input, and to possibly generate an output cointegrated with the corresponding input. Such processes therefore appear significantly different from an integrated process. This stresses the specific relevance of a non-linear approach to hysteresis.

Suggested Citation

  • bruno amable & jerome henry & frederic lordon & richard topol, 2005. "Complex Remanence vs. Simple Persistence: Are Hysteresis and Unit-Root Processes observationally equivalent?," Computational Economics 0501001, EconWPA.
  • Handle: RePEc:wpa:wuwpco:0501001
    Note: Type of Document - pdf; pages: 30. published in a similar version in (2004) Barnett, Deissenberg and Feichtinger Eds., Economic
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    File URL: http://econwpa.repec.org/eps/comp/papers/0501/0501001.pdf
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    References listed on IDEAS

    as
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    Cited by:

    1. Christian Bayer & Falko Jüßen, 2007. "Convergence in West German Regional Unemployment Rates," German Economic Review, Verein für Socialpolitik, vol. 8, pages 510-535, November.

    More about this item

    Keywords

    hysteresis; non-linearity; aggregation; heterogeneity; experimental economics;

    JEL classification:

    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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