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Main Authors: Zhang, Yi, Kapoor, Sanjiv
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.00078
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author Zhang, Yi
Kapoor, Sanjiv
author_facet Zhang, Yi
Kapoor, Sanjiv
contents In this paper we consider non-atomic games in populations that are provided with a choice of preventive policies to act against a contagion spreading amongst interacting populations, be it biological organisms or connected computing devices. The spreading model of the contagion is the standard SIR model. Each participant of the population has a choice from amongst a set of precautionary policies with each policy presenting a payoff or utility, which we assume is the same within each group, the risk being the possibility of infection. The policy groups interact with each other. We also define a network model to model interactions between different population sets. The population sets reside at nodes of the network and follow policies available at that node. We define game-theoretic models and study the inefficiency of allowing for individual decision making, as opposed to centralized control. We study the computational aspects as well.
format Preprint
id arxiv_https___arxiv_org_abs_2503_00078
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Equilibrium and Selfish Behavior in Network Contagion
Zhang, Yi
Kapoor, Sanjiv
Computer Science and Game Theory
Computational Complexity
In this paper we consider non-atomic games in populations that are provided with a choice of preventive policies to act against a contagion spreading amongst interacting populations, be it biological organisms or connected computing devices. The spreading model of the contagion is the standard SIR model. Each participant of the population has a choice from amongst a set of precautionary policies with each policy presenting a payoff or utility, which we assume is the same within each group, the risk being the possibility of infection. The policy groups interact with each other. We also define a network model to model interactions between different population sets. The population sets reside at nodes of the network and follow policies available at that node. We define game-theoretic models and study the inefficiency of allowing for individual decision making, as opposed to centralized control. We study the computational aspects as well.
title Equilibrium and Selfish Behavior in Network Contagion
topic Computer Science and Game Theory
Computational Complexity
url https://arxiv.org/abs/2503.00078