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Common property resource and private capital accumulation with random jump

Author

Listed:
  • Masatoshi Fujisaki

    (University of Hyogo, Japan)

  • Seiichi Katayama

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • Hiroshi Ohta

    (Graduate School of International Cooperation Studies, Kobe University, Japan)

Abstract

In [6], Long and Katayama presented a model of exploitation of a common property resource, when agents can also invest in private and productive capital. They considered the case where the resource extracted from a common pool is non-renewable. In this paper, we try to extend their result to the case where the common pool is under uncertainty in the sense that it could have a sudden increase or decrease in the process of extraction and moreover we shall calculate the exhaustion probability.

Suggested Citation

  • Masatoshi Fujisaki & Seiichi Katayama & Hiroshi Ohta, 2005. "Common property resource and private capital accumulation with random jump," Discussion Paper Series 177, Research Institute for Economics & Business Administration, Kobe University.
  • Handle: RePEc:kob:dpaper:177
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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/dp177.pdf
    File Function: First version, 2005
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    More about this item

    Keywords

    common property resource; private capital accumulation; pure jump process; exhaustion probability; HJB (Hamilton-Jacobi-Bellman) equation;
    All these keywords.

    JEL classification:

    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development

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