Skip to main content

Time-Consistent Fair Water Sharing Agreements

  • Chapter
Advances in Dynamic Game Theory

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 9))

Abstract

Scarcity of water has become a major issue facing many nations around the world. To improve the efficiency of water usage there has been considerable interest in recent years in trading water. A major issue in trading water rights is the problem of how an allocation system can be designed in perpetuity that also has desirable properties at each point of time. This is an issue of the time consistency of the contract to trade water. In this chapter we develop a model of dynamic recontracting of water rights and study time consistency properties of the resultant contracts using the ideas of Filar and Petrosjan [7].

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. Ambec, S. and Y. Sprumont(2002) Sharing a River, Journal of Economic Theory, Vol. 107, pp. 453–462.

    Article  MATH  MathSciNet  Google Scholar 

  2. Burness, H.S. and J.P. Quirk (1979) Appropriative Water Rights and the Efficient Allocation of Resources, The American Economic Review, Vol. 69, pp. 25–37.

    Google Scholar 

  3. Burness, H.S. and J.P. Quirk (1980) Economic aspects of appropriative water rights, Journal of Environmental Economics and Management, Vol. 7, pp. 372–388.

    Article  Google Scholar 

  4. Casas-Mendez, B., I. Garcia-Jurado, A. van den Nouweland and M. Vazquez-Brage (2003) An extension of the ?-value to games with coalition structures, European Journal of Operational Research, Vol. 148, pp. 494–513.

    Article  MATH  MathSciNet  Google Scholar 

  5. Curiel, I., Pederzoli, G. and S. Tijs (1989) Sequencing Games, European Journal of Operational Research, Vol. 40, pp. 344–351.

    Article  MATH  MathSciNet  Google Scholar 

  6. Dementieva, M. (2004) Regularization in Multistage Cooperative Games, PhD Thesis, Jvaskala Studies in Computing no. 42, University of Jyvaskala.

    Google Scholar 

  7. Filar, J.A. and L.A. Petrosjan (2000) Dynamic Cooperative Games, International Game Theory Review Vol. 2, no. 1, pp. 47–65.

    Article  MATH  MathSciNet  Google Scholar 

  8. Firoozi, F. and J. Merrifield (2003) An Optimal Timing Model of Water Reallocation and Reservoir Construction, European Journal of Operational Research, Vol. 145, pp. 165–174.

    Article  MATH  Google Scholar 

  9. Freebairn, J. and J. Quiggin (2004) Water Rights for Variable Supplies, Risk and Sustainable Management Group, Murray Darling Program Working Paper:2/M04, School of Economics, The University of Queensland.

    Google Scholar 

  10. Greenberg, J. and S. Weber (1986) Strong Tiebout Equilibrium under Restricted Preferences Domain, Journal of Economic Theory, Vol. 38, pp. 101–117.

    Article  MATH  MathSciNet  Google Scholar 

  11. Hendrickx, R. (2004) Cooperation and Allocation, PhD Thesis, CenTeR, University of Tilburg.

    Google Scholar 

  12. Howe, C.W., D.R. Schurmeier and W. Douglas Shaw, Jr. (1986) Innovative approaches to water allocation: the potential for water markets, Water Resources Research, Vol. 22, no. 4, pp. 439–445.

    Article  Google Scholar 

  13. Lahmandi-Ayed, R. and M-S. Matoussi (2002) Long-Term Effects of Water Markets: Investing or Rent-seeking? CERMSEM Universite de Paris I Serie Bleu 2002.11, CERMSEM Universite de Paris I.

    Google Scholar 

  14. Meinzen-Dick, R.S. and R. Pradhan (2002) Legal Pluralism and Dynamic Property Rights CAPRi Working paper No. 22 CGIAR System Wide Program on Collective Action and Property Rights, International FoodPolicy Research Institute.

    Google Scholar 

  15. Myerson, R.B. (1977) Graphs and Cooperation in Games, Mathematics of Operations Research, Vol. 2 no. 3 pp. 225–230.

    Article  MATH  MathSciNet  Google Scholar 

  16. Petrosjan, L.A. (2005) Cooperative Differential Games, in: A. Nowak, K. Szajowski (Eds.) Advances in Dynamic Games: Applications to Economics, Fianance, Optimization and Stochastic Control, Annals of Dynamic Games 7, Birkhäuser.

    Google Scholar 

  17. Petrosjan, L.A. and G. Zaccour (2003) Time Consistent Shapley Value Allocation of Pollution Cost Reduction, Journal of Economic Dynamics and Control., Vol. 27, pp. 381–398.

    Article  MATH  MathSciNet  Google Scholar 

  18. Petrosjan, L.A. and N.A. Zenkevich (1996) Game Theory, World Scientific, Singapore.

    Google Scholar 

  19. Provencher, B. (1993) A Private Property Rights Regime to Replenish a Groundwater Aquifer, Land Economics, Vol. 69, pp. 325–40.

    Article  Google Scholar 

  20. Provencher, B. and O. Burt(1994) A Private Property Rights Regime for the Commons: the case for Groundwater, American Journal of Agricultural Economics, Vol. 76, pp. 875–888.

    Article  Google Scholar 

  21. Tarashnina, S. (2002) Time-Consistent Solution of a Cooperative Group Pur-suit Game, International Game Theory Review, Vol. 4, no. 3, pp. 301–317.

    Article  MATH  MathSciNet  Google Scholar 

  22. Zakharov, V. and M. Dementieva (2004) Multistage Cooperative Games and the Problem of Time Consistency, International Game Theory Review, Vol. 6, no. 1, pp. 156–170.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Birkhäuser Boston

About this chapter

Cite this chapter

Beard, R., McDonald, S. (2007). Time-Consistent Fair Water Sharing Agreements. In: Jørgensen, S., Quincampoix, M., Vincent, T.L. (eds) Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4553-3_20

Download citation

Publish with us

Policies and ethics