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The Scientific World Journal
Volume 2015 (2015), Article ID 831396, 9 pages
http://dx.doi.org/10.1155/2015/831396
Research Article

Description and Application of a Mathematical Method for the Analysis of Harmony

College of Water Conservancy and Environment, Zhengzhou University, No. 100, Science Road, Zhengzhou 450001, China

Received 18 September 2014; Revised 9 March 2015; Accepted 30 March 2015

Academic Editor: Haibo He

Copyright © 2015 Qiting Zuo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Selten, “Reexamination of the perfectness concept for equilibrium points in extensive games,” International Journal of Game Theory, vol. 4, no. 1, pp. 25–55, 1975. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. K. Madani, “Game theory and water resources,” Journal of Hydrology, vol. 381, no. 3-4, pp. 225–238, 2010. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Suzuki and M. Nakayama, “The cost assignment of the cooperative water resource development—a game theoretical approach,” Management Science, vol. 22, no. 10, pp. 1081–1086, 1976. View at Google Scholar
  4. L. Wang, L. Fang, and K. W. Hipel, “Water resources allocation: a cooperative game theoretic approach,” Journal of Environmental Informatics, vol. 2, no. 2, pp. 11–22, 2003. View at Publisher · View at Google Scholar
  5. B. L. William, G. W. Mary, and M. S. Rose, Linked Models for Indian Water Rights Disputes, Managing Water-Related Conflicts: The Engineer's Role, American Society of Civil Engineers, 1990.
  6. H. A. Loáiciga, “Analytic game—theoretic approach to ground-water extraction,” Journal of Hydrology, vol. 297, no. 1–4, pp. 22–33, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Ganji, D. Khalili, and M. Karamouz, “Development of stochastic dynamic Nash game model for reservoir operation. I. The symmetric stochastic model with perfect information,” Advances in Water Resources, vol. 30, no. 3, pp. 528–542, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. E. S. Homa, R. M. Vogel, M. P. Smith, C. D. Apse, A. Huber-Lee, and J. Sieber, “An optimization approach for balancing human and ecological flow needs,” in Proceedings of the EWRI World Water and Environmental Resources Congress, pp. 1–12, Anchorage, Alaska, USA, May 2005. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Le Bars and P. Le Grusse, “Use of a decision support system and a simulation game to help collective decision-making in water management,” Computers and Electronics in Agriculture, vol. 62, no. 2, pp. 182–189, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. N. Fraser, Conflict Analysis: Models and Resolutions, North-Holland, New York, NY, USA, 1984.
  11. E. Eleftheriadou and Y. Mylopoulos, “Game theoretical approach to conflict resolution in transboundary water resources management,” Journal of Water Resources Planning and Management, vol. 134, no. 5, pp. 466–473, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. K. R. M. Rajabu, “Use and impacts of the river basin game in implementing integrated water resources management in Mkoji sub-catchment in Tanzania,” Agricultural Water Management, vol. 94, no. 1–3, pp. 63–72, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. S. Raquel, S. Ferenc, C. Emery Jr., and R. Abraham, “Application of game theory for a groundwater conflict in Mexico,” Journal of Environmental Management, vol. 84, no. 4, pp. 560–571, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. C.-S. Lee, “Multi-objective game-theory models for conflict analysis in reservoir watershed management,” Chemosphere, vol. 87, no. 6, pp. 608–613, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. N. Okada, K. W. Hipel, and Y. Oka, “Hypergame analysis of the Lake Biwa conflict,” Water Resources Research, vol. 21, no. 7, pp. 917–926, 1985. View at Publisher · View at Google Scholar · View at Scopus
  16. G. Hardin, “The tragedy of the commons,” Science, vol. 162, no. 3859, pp. 1243–1248, 1968. View at Publisher · View at Google Scholar · View at Scopus
  17. X. Y. Wang and Y. M. Xiao, Games Theory and Its Applications, Science Press, Beijing, China, 2008.
  18. Q. T. Zuo, “Mathematical description method and its application of harmony theory,” South-to-North Water Transfers and Water Science & Technology, vol. 7, no. 4, pp. 129–133, 2009. View at Google Scholar
  19. Z. Qiting, M. Junxia, and T. Jie, “Chinese water resource management and application of the harmony theory,” Journal of Resources and Ecology, vol. 4, no. 2, pp. 165–171, 2013. View at Publisher · View at Google Scholar