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A game-theoretic approach for hierarchical epidemic control
Journal article   Open access   Peer reviewed

A game-theoretic approach for hierarchical epidemic control

Feiran Jia, Aditya Mate, Zun Li, Shahin Jabbari, Mithun Chakraborty, Milind Tambe, Michael Wellman and Yevgeniy Vorobeychik
Autonomous agents and multi-agent systems, v 39(14), 14
27 Feb 2025
Featured in Collection :   Research Supported by Drexel Libraries' OA Programs
url
https://doi.org/10.1007/s10458-025-09697-6View
Published, Version of Record (VoR)Open Access via Drexel Libraries Read and Publish Program 2025CC BY V4.0 Open

Abstract

Structured hierarchical games Non-compliance cost Free-riding Game Theory
We design and analyze a multi-level game-theoretic model of hierarchical policy interventions for epidemic control, such as those in response to the COVID-19 pandemic. Our model captures the potentially mismatched priorities among a hierarchy of policy-makers (e.g., federal, state, and local governments) with respect to two cost components that have opposite dependence on the policy strength—post-intervention infection rates and the socio-economic cost of policy implementation. Additionally, our model includes a crucial third factor in decisions: a cost of non-compliance with the policy-maker immediately above in the hierarchy, such as non-compliance of counties with state-level policies. We propose two novel algorithms for approximating solutions to such games. The first is based on best response dynamics (BRD) and exploits the tree structure of the game. The second combines quadratic integer programming (QIP), which enables us to collapse the two lowest levels of the game, with the best response dynamics. We experimentally characterize the scalability and equilibrium approximation quality of our two approaches against model parameters. Finally, we conduct experiments in simulations based on both synthetic and real-world data under various parameter configurations and analyze the resulting (approximate) equilibria to gain insight into the impact of decentralization on overall welfare (measured as the negative sum of costs) as well as emergent properties like social welfare, free-riding, and fairness in cost distribution among policy-makers.

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#3 Good Health and Well-Being

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Collaboration types
Domestic collaboration
Web of Science research areas
Automation & Control Systems
Computer Science, Artificial Intelligence
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