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Introducing Armington imperfect substitutability into Samuelson’s spatial price equilibrium model. The case of the French Forest Sector Model

Author

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  • Sylvain Caurla

    (Laboratoire d'Economie Forestière, INRA - AgroParisTech)

Abstract

The French Forest Sector Model (FFSM) combines a spatial price equilibrium model à la Samuelson and an imperfect substitution assumption à la Armington for wood products between France and the Rest of the World. This paper aims at proving the existence and the conditions of equilibrium in FFSM. In particular, we show that, at equilibrium, (1) introducing Armington’s imperfect substitutability does not change Samuelson’s equilibrium conditions and that, (2) processing-industries make a positive profit if and only if they reach their production capacity limit.

Suggested Citation

  • Sylvain Caurla, 2012. "Introducing Armington imperfect substitutability into Samuelson’s spatial price equilibrium model. The case of the French Forest Sector Model," Working Papers - Cahiers du LEF 2012-06, Laboratoire d'Economie Forestiere, AgroParisTech-INRA, revised Oct 2012.
    • Handle: RePEc:lef:wpaper:2012-06
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    File URL: http://www6.nancy.inra.fr/lef/Cahiers-du-LEF/2012/2012-06
    File Function: First version, 2010
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    More about this item

    Keywords

    Spatial model; Partial equilibrium model; Economic equilibrium; Imperfect substitution; Forest model.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry

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