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Erschienen in: Dynamic Games and Applications 1/2022

02.12.2021

Mobility Choices and Strategic Interactions in a Two-Group Macroeconomic–Epidemiological Model

verfasst von: Davide La Torre, Danilo Liuzzi, Rosario Maggistro, Simone Marsiglio

Erschienen in: Dynamic Games and Applications | Ausgabe 1/2022

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Abstract

We analyze the implications of strategic interactions between two heterogeneous groups (i.e., young and old, men and women) in a macroeconomic–epidemiological framework. The interactions between groups determine the overall prevalence of a communicable disease, which in turn affects the level of economic activity. Individuals may lower their disease exposure by reducing their mobility, but since changing mobility patterns is costly, each group has an incentive to free ride negatively affecting the chances of disease containment at the aggregate level. By focusing on an early epidemic setting, we explicitly characterize the cooperative and noncooperative equilibria, determining how the inefficiency induced by noncooperation (i.e., failure to internalize epidemic externalities) depends both on economic and epidemiological parameters. We show that long-run eradication may be possible even in the absence of coordination, but coordination leads to a faster reduction in the number of infectives in finite time. Moreover, the inefficiency induced by noncooperation increases (decreases) with the factors increasing (decreasing) the pace of the disease spread.
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1
In the absence of a linear-quadratic structure and of \(C^1\)-regularity of the function satisfying the Hamilton–Jacobi–Bellman equation (HJB), obtaining closed-form solutions would not be possible. If this is the case, we might rely either on a numerical approach or on the notion of viscosity solution. Different from numerical approaches, the viscosity solutions theory permits to guarantee existence and uniqueness (via comparison principle) of the solution for problems which do not allow for classical closed-form solutions [1214].
 
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Metadaten
Titel
Mobility Choices and Strategic Interactions in a Two-Group Macroeconomic–Epidemiological Model
verfasst von
Davide La Torre
Danilo Liuzzi
Rosario Maggistro
Simone Marsiglio
Publikationsdatum
02.12.2021
Verlag
Springer US
Erschienen in
Dynamic Games and Applications / Ausgabe 1/2022
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-021-00413-z

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