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Differential Games in Non–Renewable Resources Extraction

  • George E. HALKOS

    ()

    (Department of Economics, University of Thessaly, Greece)

  • George PAPAGEORGIOU

    ()

    (Department of Economics, University of Thessaly, Greece)

Traditional economic theory, up to the middle of the twentieth century, builds up the production functions regardless the inputs' scarcity. In the last few decades has been clear that both the inputs are depletable quantities and a lot of constraints are imposed in their usage in order to ensure economic sustainability. Furthermore, the management of exploitation and use of natural resources (either exhaustible or renewable) has been discussed by analyzing dynamic models applying methods of Optimal Control Theory. This theory provides solutions that are concerned with a single decision maker who can control the model dynamics facing a certain performance index to be optimized. In fact, market structures or exploitation patterns are often oligopolistic, i.e. there are several decision makers whose policies influence each other. So, game theoretical approaches are introduced into the discussion. According to the theory of continuous time models of Optimal Control, the appropriate analogue of differential games is used. Roughly, this is the extension of Optimal Control, when there is exactly one decision maker, to the case of decision makers interacting with each other.

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Article provided by ASERS Publishing in its journal Theoretical and Practical Research in Economic Fields.

Volume (Year): I (2010)
Issue (Month): 2 (December)
Pages: 232 - 243

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Handle: RePEc:srs:tpref1:4:v:1:y:2010:i:2:p:232-243
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  1. Dockner, Engelbert & Feichtinger, Gustav & Mehlmann, Alexander, 1989. "Noncooperative solutions for a differential game model of fishery," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 1-20, January.
  2. Batabyal, Amitrajeet A., 1995. "Consistency and Optimality in a Dynamic Game of Pollution Control I: Competition," Working Papers 9529, Utah State University, Department of Economics.
  3. repec:cup:cbooks:9780521637329 is not listed on IDEAS
  4. Benchekroun, Hassan, 2003. "Unilateral production restrictions in a dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 111(2), pages 214-239, August.
  5. Puu, Tonu, 1977. "On the profitability of exhausting natural resources," Journal of Environmental Economics and Management, Elsevier, vol. 4(3), pages 185-199, September.
  6. Szidarovszky, Ferenc & Yen, Jerome, 1995. "Dynamic Cournot oligopolies with production adjustment costs," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 95-101.
  7. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer, vol. 2(2), pages 155-90, April.
  8. Benchekroun, Hassan & Van Long, Ngo, 2002. "Transboundary Fishery: A Differential Game Model," Economica, London School of Economics and Political Science, vol. 69(274), pages 207-21, May.
  9. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
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