Skip to main content

Exact Solution to a Class of Stochastic Resource Extraction Problems

  • Conference paper
Operations Research Proceedings 2005

Part of the book series: Operations Research Proceedings ((ORP,volume 2005))

  • 960 Accesses

Abstract

In this paper, a class of resource extraction problems involving stochastic dynamics and randomly fluctuating non-autonomous payoffs are developed. An empirically meaningful theory of optimization must therefore incorporate uncertainty in an appropriate manner. The introduction of this stochastic specification lead to a novel approach to solve dynamic problems in terms of properties and solution concepts not explored in the literature before. Exact solution to this stochastically complicated problem is presented. Computer simulations are provided. The analysis could be applied to various practical problems involving complex uncertainties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Clark CW (1976) Mathematical bioeconomics. John Wiley & Sons, New York

    MATH  Google Scholar 

  2. Clemhout S, Wan HY. Jr. (1985) Dynamic common-property resources and environmental problems. Journal of Optimization Theory and Applications 46: 471–481

    Article  MATH  MathSciNet  Google Scholar 

  3. Dockner E, Kaitala V (1989) On efficient equilibrium solutions in dynamic games of resource management. Resource and Energy 11: 23–34

    Article  Google Scholar 

  4. Dockner EJ, Feichtinger G, Mehlmann A (1989) Noncooperative solutions for a differential game model of fishery. Journal of Economic Dynamics and Control 13: 1–20

    Article  MATH  MathSciNet  Google Scholar 

  5. Fischer R, Mirman L (1992) Strategic dynamic interactions: fish wars. Journal of Economic Dynamic and Control 16: 267–287

    Article  MATH  Google Scholar 

  6. Jørgensen S, Sorger G (1990) Feedback nash equilibria in a problem of optimal fishery management. Journal of Optimization Theory and Applications: 64, 293–310

    Article  MATH  MathSciNet  Google Scholar 

  7. Jørgensen S, Yeung DWK (1996) stochastic differential game model of a common property fishery. Journal of Optimization Theory and Applications 90: 391–403

    Article  Google Scholar 

  8. Kaitala V (1993) Equilibria in a stochastic resource management game under imperfect information. European Journal of Operational Research 71: 439–453

    Article  MATH  Google Scholar 

  9. Plourde C, Yeung DWK (1989) Harvesting of a transboundary replenishable fish stock: a non cooperative game solution. Marine Resource Economics 6: 57–70

    Google Scholar 

  10. Plourde CG (1970) A simple model of replenishable natural resource exploitation. American Economic Review 60: 518–22

    Google Scholar 

  11. Yeung DWK (2001) Infinite horizon stochastic differential games with branching payoffs. Journal of Optimization Theory and Applications 111: 445–460

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cheng, S.T.S., Yeung, D.W.K. (2006). Exact Solution to a Class of Stochastic Resource Extraction Problems. In: Haasis, HD., Kopfer, H., Schönberger, J. (eds) Operations Research Proceedings 2005. Operations Research Proceedings, vol 2005. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32539-5_78

Download citation

Publish with us

Policies and ethics