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

  • Regular Article - Statistical and Nonlinear Physics
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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: No separate data is required. All the required data is available in Table 2 and Table 4 in the paper itself.]

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Acknowledgements

AA acknowledges the funding support provided by the Indian Institute of Technology Roorkee through Faculty Initiation Grant number IITR/SRIC/1808/F.I.G and COPREPARE project funded by UGC and DAAD under the IGP 2020–2024. RM acknowledges the funding provided by DST under the Inspire Faculty Fellowship. DPP acknowledges the support provided by UPES under its doctoral program.

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Correspondence to Ankit Agarwal.

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Panday, D.P., Khosa, R., Maheswaran, R. et al. Game theoretic-based modelling of Krishna waters dispute: equilibrium solutions by hypergame analysis. Eur. Phys. J. B 94, 131 (2021). https://doi.org/10.1140/epjb/s10051-021-00135-6

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