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Input-Output Analysis: New Results From Markov Chain Theory

Author

Listed:
  • Nizar Riane

    (UM5 - Université Mohammed V de Rabat [Agdal])

  • Claire David

    (LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique - UPCité - Université Paris Cité)

Abstract

In this work, we propose a new lecture of input-output model reconciliation Markov chain and the dominance theory, in the field of interindustrial poles interactions. A deeper lecture of Leontief table in term of Markov chain is given, exploiting spectral properties and time to absorption to characterize production processes, then the dualities local-global/dominance-Sensitivity analysis are established, allowing a better understanding of economic poles arrangement. An application to the Moroccan economy is given.

Suggested Citation

  • Nizar Riane & Claire David, 2022. "Input-Output Analysis: New Results From Markov Chain Theory," Post-Print hal-03696207, HAL.
    • Handle: RePEc:hal:journl:hal-03696207
    Note: View the original document on HAL open archive server: https://hal.sorbonne-universite.fr/hal-03696207
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    File URL: https://hal.sorbonne-universite.fr/hal-03696207/document
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    References listed on IDEAS

    as
    1. Didier Lebert & Hafida El Younsi, 2015. "Théorie de la dominance économique : indicateurs structuraux sur les relations interafricaines," Post-Print halshs-01225765, HAL.
    2. Roland Lantner & Didier Lebert, 2015. "Dominance et amplification des influences dans les structures linéaires," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01225748, HAL.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Graph - Markov chain - Leontief matrix - Dominance theory; 05C20 -15A15 -60J10 JEL Classification; C65 -C67 -L00;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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