We develop a stochastic model of contagion with two individual types by extending an archetypal SIS CTMC model. Our results include the analyses of the contagion duration and the number of individual afflictions. Numerical applications with the minority and majority types are provided to consider various contagions.
This paper provides an analysis of a cost-averting war of attrition with minimum necessary conceders. All symmetric stationary Nash equilibria are characterized. The multiplicity of equilibria has called for further refinements. We show that there exists a unique symmetric stationary trembling hand perfect equilibrium. Comparative statics results of the trembling hand perfect equilibrium are provided. This paper’s model is motivated by the problem of delayed public goods provisions in collective action settings. Augmenting the number of minimum necessary conceders can curtail delays.
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