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Game theoretic-based modelling of Krishna waters dispute: equilibrium solutions by hypergame analysis

Author

Listed:
  • Durga Prasad Panday

    (University of Petroleum and Energy Studies)

  • Rakesh Khosa

    (Indian Institute of Technology Delhi)

  • Rathinasamy Maheswaran

    (MVGR College of Engineering)

  • K. Ravikumar

    (VNR Vignana Jyothi Institute of Engineering and Technology)

  • Ankit Agarwal

    (Indian Institute of Technology Roorkee
    GFZ German Research Centre for Geosciences)

Abstract

This paper presents a hyper game analysis of the Krishna waters dispute and demonstrates its potential to yield an equilibrium solution even in the face of uncertainty that may be plausible in the intent behind the apparent position taken by contending parties. The approach can accommodate the real-world conflict situation in which players conceal their negotiating strategies and develop perceptions about apparent positions that may be misperceived. The hypergame model of the conflict formulated to resolve the water-sharing dispute amongst the riparian states of Maharashtra, Karnataka, Telangana and Andhra Pradesh, India. The paper demonstrates the potential of hypergame-based conflict resolution model to yield an equilibrium solution elegantly and which appears to have attributes of a “Fair and Equitable”” allocation. Hypergame is formulated by considering the perception of one player about the other ’players’ game. All the possible perceptions are taken, and the stability analysis is carried out. The results of the stability analysis show that Fair and equitable allocation is part of the equilibrium solution. Our analysis demonstrates that the game-theoretic technique can be applied to solve any real-world conflict. Any allocation made based on “Fairness and Equity” undoubtedly lead to the equilibrium solution as seen in the present work. Graphic abstract

Suggested Citation

  • Durga Prasad Panday & Rakesh Khosa & Rathinasamy Maheswaran & K. Ravikumar & Ankit Agarwal, 2021. "Game theoretic-based modelling of Krishna waters dispute: equilibrium solutions by hypergame analysis," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(6), pages 1-11, June.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:6:d:10.1140_epjb_s10051-021-00135-6
    DOI: 10.1140/epjb/s10051-021-00135-6
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    References listed on IDEAS

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    1. Durga Prasad Panday & Rakesh Khosa & Rathinasamy Maheswaran & K. Ravikumar & Ankit Agarwal, 2021. "Game-theoretic-based modelling of Krishna waters dispute: equilibrium solutions by Metagame Analysis," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(5), pages 1-12, May.
    2. Takahashi, Masao Allyn & Fraser, Niall M. & Hipel, Keith W., 1984. "A procedure for analyzing hypergames," European Journal of Operational Research, Elsevier, vol. 18(1), pages 111-122, October.
    3. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2021. "Allocating the costs of cleaning a river: expected responsibility versus median responsibility," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 185-214, March.
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    Cited by:

    1. K. Ravikumar & Rakesh Khosa & Ankit Agarwal, 2021. "Metagame analysis of Cauvery River dispute incorporating interannual variability in virgin runoff potential of the basin," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-12, August.

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