Game theory based multi criteria decision making problem under uncertainty: a case study on Indian Tea Industry

    Animesh Debnath Affiliation
    ; Abhirup Bandyopadhyay Affiliation
    ; Jagannath Roy Affiliation
    ; Samarjit Kar Affiliation


The long-term evolution of multi agent multi criteria decision making (MCDM) and to obtain sustainable decision a novel methodology is proposed based on evolutionary game theory. In this paper multi agent MCDM is represented as an evolutionary game and the evolutionary strategies are defined as sustainable decisions. Here we consider the problem of decision making in Indian Tea Industry. The agents in this game are essentially Indian Tea Estate owner and Indian Tea board. The replicator dynamics of the evolutionary game are studied to obtain evolutionary strategies which could be defined as sustainable strategies. The multi agent MCDM in Indian Tea Industry is considered under different socio-political and Corporate Social Responsibility scenario and groups of Indian Tea Industry. Again, the impacts of imprecision and market volatility on the outcome of some strategies (decisions) are studied. In this paper the imprecision on the impact of the strategies are modelled as fuzzy numbers whereas the market volatility is taken into account as white noise. Hence the MCDM problem for Indian Tea Industry is modelled as a hybrid evolutionary game. The probabilities of strategies are obtained by solving hybrid evolutionary game and could be represented as a Dempster-Shafer belief structure. The simulation results facilitate the Decision Makers to choose the strategies (decisions) under different type of uncertainty.

Keyword : MCDM in Indian Tea Industry, evolutionary game, evolutionary stable strategies, sustainable solution to MCDM, uncertain evolutionary game, strategies under uncertainty, sustainable development with CSR

How to Cite
Debnath, A., Bandyopadhyay, A., Roy, J., & Kar, S. (2018). Game theory based multi criteria decision making problem under uncertainty: a case study on Indian Tea Industry. Journal of Business Economics and Management, 19(1), 154-175.
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May 4, 2018
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Andreopoulou, Z.; Koliouska, C.; Zopounidis, C. 2017. Multicriteria and clustering: Classification techniques in agrifood and environment. Springer.

Aplak, H. S.; Türkbey, O. 2013. Fuzzy logic based game theory applications in multi-criteria decision making process, Journal of Intelligent & Fuzzy Systems 25(2): 359–371.

Bhattacharya, C. B.; Sen, S. 2001. Does doing good always lead to doing better? Consumer reactions to corporate social responsibility, Journal of Marketing Research 28: 225–243.

Cheruiyot, T. K.; Tarus, D. K. 2017. Corporate social responsibility in Kenya: Blessing, curse or necessary evil? Chapter 9, in S. Idowu, S. Vertigans, A. S. Burlea (Eds.). Corporate social responsibility in times of crisis. CSR, sustainability, ethics & governance. Springer, Cham.

Debnath, A.; Roy, J.; Kar, S.; Zavadskas, E. K.; Antucheviciene, J. 2017. A hybrid MCDM approach for strategic project portfolio selection of agro by-products, Sustainability 9(8): 1302–1335.

Deng, X.; Jiang, W.; Zhang, J. 2017. Zero-sum matrix game with payoffs of dempster-shafer belief structures and its applications on sensors, Sensors 17(4): 922.

Deng, X.; Liu, Q.; Deng, Y. 2016. Matrix games with payoffs of belief structures, Applied Mathematics and Computation 273: 868–879.

Deng, X.; Zheng, X.; Su, X.; Chan, F. T.; Hu, Y.; Sadiq, R.; Deng, Y. 2014. An evidential game theory framework in multi-criteria decision making process, Applied Mathematics and Computation 24(4): 783–793.

Grant, S.; Quiggin, J. 2017. The evolution of awareness, Journal of Economic Psychology 63: 86–92.

GW. 2009. Environmental hazard of Tea garden belt in Jalpaiguri district, West Bengal [online], [cited 15 November 2016] Geospatial World. Available from Internet:

Hilbe, C. 2011. Local replicator dynamics: a simple link between deterministic and stochastic models of evolutionary game theory, Bulletine Mathematical Biology 73(9): 2068–2087.

IT. 2006. Darjeeling tea’s lesson for handlooms [online], [cited 29 October 2017]. Indiatogether. Available from Internet:

Kang, Z.; Morin, T. 2016. Multi-attribute decision making in a bidding game with imperfect information and uncertainty, International Journal of Information Technology & Decision Making 15(01): 63–81.

Kotler, P.; Lee, N. 2005. Corporate social responsibility: doing the best for your company and your cause. New Jersey, Hoboken, John Wiley & Sons Inc.

Lazonick, W.; O’Sullivan, M. 2000. Maximizing shareholder value a new ideology for corporate governance, Economy and Society 29(1): 13–35.

Madani, K.; Lund, J. R. 2011. A Monte-Carlo game theoretic approach for multi-criteria decision making under uncertainty, Advances in Water Resources 34(5): 607–616.

Maynard, S. J.; Prince, G. R. 1973. The Logic of animal conflict, Nature 246: 15–18.

Mohanty, B. K.; Gupta, M. 2015. Product selection in e-commerce under fuzzy environment: a MADM game theoretic model, International Game Theory Review 17(01): 154–208. "

Nowak, M. A.; May, R. M. 1992. Evolutionary games and spatial chaos, Nature 359: 826–829.

Nowak, M. A.; Sigmund, K. 2004. Evolutionary dynamics of biological games, Science 303: 793–799.

Requejo, R. J.; Camacho, J. 2011. Evolution of cooperation mediated by limiting resources: connecting resource based models and evolutionary game theory, Journal of Theoretical Biology 272(1): 35–41.

Rosas, A. 2010. Evolutionary game theory meets social science: is there a unifying rule for human cooperation?, Journal of Theoretical Biology 264(2): 450–456.

Roy, J.; Adhikary, K.; Kar, S. 2016a. Credibilistic TOPSIS model for evaluation and selection of municipal solid waste disposal methods [online], [cited 22 August 2017]. Available from Internet:

Roy, J.; Ranjan, A.; Debnath, A.; Kar, S. 2016b. An extended MABAC for multi-attribute decision making using trapezoidal interval type-2 fuzzy numbers [online], [cited 22 August 2017]. Available from Internet:

Roy, J.; Chatterjee, K.; Bandhopadhyay, A.; Kar, S. 2018. Evaluation and selection of medical tourism sites: A rough analytic hierarchy process based multi attributive border approximation area comparision approach. Expert System 35(1), e12232.

Tirkey, L. 2005. Tea plantations in the Darjeeling district, India: Geo-ecological and socio- economic impacts in post-independence period: Master’s thesis. Natural Resource Institute, University of Manitoba.

WTN. 2016. Global tea production 2015 [online], [cited 30 February 2017]. Worldtea News. Available from Internet:|