Parallel Minority Game and it's application in movement optimization during an epidemic
arXiv:2005.08684 · doi:10.1016/j.physa.2020.125271
Abstract
We introduce a version of the Minority Game where the total number of available choices is , 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 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.
arXiv comment17 pages, 9 figures
References in corpus (13)
- Epidemic spreading in scale-free networks
- Inferring change points in the COVID-19 spreading reveals the effectiveness of interventions
- Emergence of Cooperation and Organization in an Evolutionary Game
- On the Minority Game : Analytical and Numerical Studies
- Phase Transition and Symmetry Breaking in the Minority Game
- The Kolkata Paise Restaurant Problem and Resource Utilization
- Covid-19 spread: Reproduction of data and prediction using a SIR model on Euclidean network
- Statistics of the Kolkata Paise Restaurant Problem
- Cooperation amongst competing agents in minority games
- Suppressing traffic-driven epidemic spreading by use of the efficient routing protocol
- Suppressing traffic-driven epidemic spreading by adaptive routing strategy
- Continuous transition of social efficiencies in the stochastic strategy Minority Game
- Suppressing epidemic spreading by risk-averse migration in dynamical networks