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The vaccination Game in Susceptible-Infected-Susceptible (SIS) networks with multipopulations

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Abstract

We model in this paper the multipopulation vaccinatinon game over a fully connected graph. Each player decides whether to purchase a vaccine or not, and if they do, then they further decide which vaccine to purchase among a finite number of vaccine producers. The players need not be indistinguishable. A potential consumer belongs to a risk type that characterizes how important it is for them to be vaccinated. The cost of a vaccine may depend on the demand, on the cost of the production, and on the consumer's class. We prove in the existence of an equilibrium within pure policies in the general multipopulation case. We further derive some properties of the equilibria in the case of a single risk-class.
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Dates and versions

hal-03484177 , version 1 (16-12-2021)

Identifiers

  • HAL Id : hal-03484177 , version 1

Cite

Eitan Altman. The vaccination Game in Susceptible-Infected-Susceptible (SIS) networks with multipopulations. Game Theory for Networks (Gamenets) 2021, Dec 2021, Virtual, France. ⟨hal-03484177⟩
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