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Equilibrium Search Technique Using Genetic Algorithm and Replicator Dynamics and Its Application to Food Supply Chain Model

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Intelligent Decision Technologies

Abstract

Although expressing a social system as a game model and searching for equilibrium states are useful in the design study of social systems, the calculation time is a problem in practical applications. In this study, we propose an equilibrium search technique that is based on genetic algorithm and introduced the concept of replicator dynamics, wherein strategies with a higher payoff are more likely to be employed in the next generation. Using the proposed method, the calculation time for a game that models an auction of products was reduced by 46%. Additionally, the effects of the selling time limit for manufacturers and supermarkets, one of the business practices, on the food (milk) supply chain were examined. Under the conditions implemented in our study, the relaxation of such limits reduced food loss and waste without harming the profits of stakeholders in the supply chain.

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References

  1. Shoham, Y., Leyton-Brown, K.: Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, New York (2008)

    Book  Google Scholar 

  2. Taylor, P., Jonker, L.: Evolutionary stable strategies and game dynamics. Math. Biosci. 40, 145–156 (1978)

    Article  MathSciNet  Google Scholar 

  3. Broom, M., Rychtar, J.: Game-Theoretical Models in Biology. Chapman and Hall/CRC, New York (2013)

    Book  Google Scholar 

  4. Kofujita, G., Takahashi, S.: Pruning algorithms for a replicator dynamics method in multiple OD selfish routing games. Int. J. Smart Comput. Artif. Intell. Int. Inst. Appl. Inf. 3, 40–56 (2019)

    Google Scholar 

  5. Riechmann, T.: Genetic algorithm learning and evolutionary games. J. Econ. Dyn. Control 25, 1019–1037 (2001)

    Article  Google Scholar 

  6. Konak, A., Kulturel-Konak, S., Snyder, L.V.: A game-theoretic genetic algorithm for the reliable server assignment problem under attacks. Comput. Ind. Eng. 85, 73–85 (2015)

    Article  Google Scholar 

  7. Périaux, J., Chen, H.Q., Mantel, B., Sefrioui, M., Sui, H.T.: Combining game theory and genetic algorithms with application to DDM-nozzle optimization problems. Finite Elem. Anal. Des. 37, 417–429 (2001)

    Article  Google Scholar 

  8. Protopapas, M.K., Battaglia, F., Kosmatopoulos, E.B.: Coevolutionary genetic algorithms for establishing Nash equilibrium in symmetric Cournot games. Adv. Dec. Sci. 2010, (2010). Article ID 573107

    Google Scholar 

  9. United Nations, https://www.un.org/development/desa/disabilities/envision2030.html. Last accessed 24 Dec 2021

  10. Ministry of Agriculture, Forestry and Fisheries: FY2019 Summary of the annual report on food, agriculture and rural areas in Japan. Japan (2020)

    Google Scholar 

  11. Sato, M., Mizuyama, H., Nakano, M.: Milk supply chain management game for waste reduction. In: Naweed, A., Wardaszko, M., Leigh, E., Meijer, S. (eds.) Intersections in Simulation and Gaming. ISAGA 2016. LNCS, vol. 10711, pp. 302–314. Springer, Cham (2018)

    Google Scholar 

  12. Sato, M., Tsunoda, M., Imamura, H., Mizuyama, H., Nakano, M.: The design and evaluation of a multi-player milk supply chain management game. In: Lukosch H., Bekebrede G., Kortmann R. (eds) Simulation Gaming. Applications for Sustainable Cities and Smart Infrastructures. ISAGA 2017. LNCS, vol. 10825, pp. 110–118. Springer, Cham (2018)

    Google Scholar 

  13. Dan, H., Morita, N., Homma, K., Yanami, H., Suginouchi, S., Sato, M., Mizuyama, H., Ogawa, M.: Effect evaluation of relaxing shipping/selling deadline in the food supply chain: an evolutionary game theoretical approach. In: 29th International Annual EurOMA Conference, in press

    Google Scholar 

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Correspondence to Natsuki Morita .

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Morita, N. et al. (2022). Equilibrium Search Technique Using Genetic Algorithm and Replicator Dynamics and Its Application to Food Supply Chain Model. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 309. Springer, Singapore. https://doi.org/10.1007/978-981-19-3444-5_31

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