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On Limits to the Use of Linear Markov Strategies in Common Property Natural Resource Games

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  • GAUDET, Gérard
  • LOHOUES, Hervé

Abstract

We derive conditions that must be satisfied by the primitives of the problem in order for an equilibrium in linear Markov strategies to exist in some common property natural resource differential games. These conditions impose restrictions on the admissible form of the natural growth function, given a benefit function, or on the admissible form of the benefit function, given a natural growth function.

Suggested Citation

  • GAUDET, Gérard & LOHOUES, Hervé, 2005. "On Limits to the Use of Linear Markov Strategies in Common Property Natural Resource Games," Cahiers de recherche 2005-15, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2005-15
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    File URL: http://hdl.handle.net/1866/544
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    References listed on IDEAS

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    1. Fischer, Ronald D. & Mirman, Leonard J., 1992. "Strategic dynamic interaction : Fish wars," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 267-287, April.
    2. Fischer, Ronald D. & Mirman, Leonard J., 1996. "The Compleat Fish Wars: Biological and Dynamic Interactions," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 34-42, January.
    3. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    4. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
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    Cited by:

    1. Agbo, Maxime, 2014. "Strategic exploitation with learning and heterogeneous beliefs," Journal of Environmental Economics and Management, Elsevier, vol. 67(2), pages 126-140.
    2. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.

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    More about this item

    Keywords

    common orty; natural resources; differential games; linear Markov strategies;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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    1. Socio-economics of Fisheries and Aquaculture

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