[2206.02222] How does a Rational Agent Act in an Epidemic?
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Mathematics > Optimization and Control

arXiv:2206.02222 (math)
COVID-19 e-print

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[Submitted on 5 Jun 2022]

Title:How does a Rational Agent Act in an Epidemic?

Authors:S. Yagiz Olmez, Shubham Aggarwal, Jin Won Kim, Erik Miehling, Tamer Başar, Matthew West, Prashant G. Mehta
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Abstract:Evolution of disease in a large population is a function of the top-down policy measures from a centralized planner, as well as the self-interested decisions (to be socially active) of individual agents in a large heterogeneous population. This paper is concerned with understanding the latter based on a mean-field type optimal control model. Specifically, the model is used to investigate the role of partial information on an agent's decision-making, and study the impact of such decisions by a large number of agents on the spread of the virus in the population. The motivation comes from the presymptomatic and asymptomatic spread of the COVID-19 virus where an agent unwittingly spreads the virus. We show that even in a setting with fully rational agents, limited information on the viral state can result in an epidemic growth.
Comments: arXiv admin note: text overlap with arXiv:2111.10422
Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT); Multiagent Systems (cs.MA); Systems and Control (eess.SY)
Cite as: arXiv:2206.02222 [math.OC]
  (or arXiv:2206.02222v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2206.02222

Submission history

From: Sukru Yagiz Olmez [view email]
[v1] Sun, 5 Jun 2022 17:21:29 UTC (844 KB)
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