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Parallel Minority Game and it’s application in movement optimization during an epidemic

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  • Biswas, Soumyajyoti
  • Mandal, Amit Kr

Abstract

We introduce a version of the Minority Game where the total number of available choices is D>2, but the agents only have two available choices to switch. For all agents at an instant in any given choice, therefore, the other choice is distributed between the remaining D−1 options. This brings in the added complexity in reaching a state with the maximum resource utilization, in the sense that the game is essentially a set of MG that are coupled and played in parallel. We show that a stochastic strategy, used in the MG, works well here too. We discuss the limits in which the model reduces to other known models. Finally, we study an application of the model in the context of population movement between various states within a country during an ongoing epidemic. we show that the total infected population in the country could be as low as that achieved with a complete stoppage of inter-region movements for a prolonged period, provided that the agents instead follow the above mentioned stochastic strategy for their movement decisions between their two choices. The objective for an agent is to stay in the lower infected state between their two choices. We further show that it is the agents moving once between any two states, following the stochastic strategy, who are less likely to be infected than those not having (or not opting for) such a movement choice, when the risk of getting infected during the travel is not considered. This shows the incentive for the moving agents to follow the stochastic strategy.

Suggested Citation

  • Biswas, Soumyajyoti & Mandal, Amit Kr, 2021. "Parallel Minority Game and it’s application in movement optimization during an epidemic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    • Handle: RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306713
    DOI: 10.1016/j.physa.2020.125271
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    References listed on IDEAS

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    1. Anirban Chakraborti & Damien Challet & Arnab Chatterjee & Matteo Marsili & Yi-Cheng Zhang & Bikas K. Chakrabarti, 2013. "Statistical Mechanics of Competitive Resource Allocation using Agent-based Models," Papers 1305.2121, arXiv.org, revised Sep 2014.
    2. Chakrabarti, Anindya Sundar & Chakrabarti, Bikas K. & Chatterjee, Arnab & Mitra, Manipushpak, 2009. "The Kolkata Paise Restaurant problem and resource utilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2420-2426.
    3. Deepak Dhar & V. Sasidevan & Bikas K. Chakrabarti, 2011. "Cooperation amongst competing agents in minority games," Papers 1102.4230, arXiv.org.
    4. Amory Martin & Maryia Markhvida & Stéphane Hallegatte & Brian Walsh, 2020. "Socio-Economic Impacts of COVID-19 on Household Consumption and Poverty," Economics of Disasters and Climate Change, Springer, vol. 4(3), pages 453-479, October.
    5. Dhar, Deepak & Sasidevan, V. & Chakrabarti, Bikas K., 2011. "Emergent cooperation amongst competing agents in minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3477-3485.
    6. Yang, Han-Xin & Tang, Ming & Wang, Zhen, 2018. "Suppressing epidemic spreading by risk-averse migration in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 347-352.
    7. Yang, Han-Xin & Wang, Zhen, 2016. "Suppressing traffic-driven epidemic spreading by adaptive routing strategy," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 147-150.
    8. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
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