Skip to main content
SpringerLink
Log in

A bioresource management problem with different planning horizons

  • Mathematical Game Theory and Applications
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

This paper studies a discrete-time game-theoretic model of bioresource management (fishery). Here players are countries or fishing firms that harvest the fish stock. The players differ in their time preferences and adopt different discount factors. Furthermore, the players have different planning horizons. The main goal is to construct the value function for the cooperative solution and to distribute the joint payoff among the players. We apply the recursive Nash bargaining solution to determine the cooperative behavior and payoffs of the players.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Mazalov, V.V. and Rettiyeva, A.N., The Discrete-Time Bioresource Sharing Model, J. Appl. Math. Mech., 2011, vol. 75, no. 2, pp. 180–188.

    Article  MATH  MathSciNet  Google Scholar 

  2. Rettieva, A.N., Discrete-Time Bioresource Management Problem with Asymmetric Players, Autom. Remote Control, 2014, vol. 75, no. 9, pp. 1665–1676.

    Article  Google Scholar 

  3. Rettieva, A.N., A Bioresource Management Problem with Asymmetric Players, Mat. Teor. Igr Prilozh., 2013, vol. 5, no. 3, pp. 72–87.

    MATH  Google Scholar 

  4. Breton, M. and Keoula, M.Y., A Great Fish War Model with Asymmetric Players, Ecolog. Econom., 2014, vol. 97, pp. 209–223.

    Article  Google Scholar 

  5. Levhari, D. and Mirman, L.J., The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution, Bell J. Econom., 1980, vol. 11(1), pp. 322–334.

    Article  MathSciNet  Google Scholar 

  6. Marin-Solano, J. and Shevkoplyas, E.V., Non-constant Discounting and Differential Games with Random Time Horizon, Automatica, 2011, vol. 47, pp. 2626–2638.

    Article  MATH  MathSciNet  Google Scholar 

  7. Mazalov, V.V. and Rettieva, A.N., Fish Wars and Cooperation Maintenance, Ecolog. Modelling, 2010, vol. 221, pp. 1545–1553.

    Article  Google Scholar 

  8. Mazalov, V.V. and Rettieva, A.N., Fish Wars with Many Players, Int. Game Theory Rev., 2010, vol. 12, no. 4, pp. 385–405.

    Article  MATH  MathSciNet  Google Scholar 

  9. Shevkoplyas, E.V., The Shapley Value in Cooperative Differential Games with Random Duration, Ann. Int. Soc. Dynamic Games, 2011, vol. 11, pp. 359–373.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Petrozavodsk, Russia

    A. N. Rettieva

Authors
  1. A. N. Rettieva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. N. Rettieva.

Additional information

Original Russian Text © A.N. Rettieva, 2014, published in Matematicheskaya Teoriya Igr i Priloszheniya, 2014, No. 3, pp. 54–75.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rettieva, A.N. A bioresource management problem with different planning horizons. Autom Remote Control 76, 919–934 (2015). https://doi.org/10.1134/S0005117915050161

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117915050161

Keywords

Search

Navigation