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10.1016/j.jmateco.2021.102488

http://scihub22266oqcxt.onion/10.1016/j.jmateco.2021.102488
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33897089!8052987!33897089
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suck abstract from ncbi

pmid33897089      J+Math+Econ 2021 ; 93 (ä): 102488
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  • Optimal lockdown in altruistic economies #MMPMID33897089
  • Bosi S; Camacho C; Desmarchelier D
  • J Math Econ 2021[Mar]; 93 (ä): 102488 PMID33897089show ga
  • The recent COVID-19 crisis has revealed the urgent need to study the impact of an infectious disease on market economies and provide adequate policy recommendations. The present paper studies the optimal lockdown policy in a dynamic general equilibrium model where households are altruistic and they care about the share of infected individuals. The spread of the disease is modeled here using SIS dynamics, which implies that recovery does not confer immunity. To avoid non-convexity issues, we assume that the lockdown is constant in time. This strong assumption allows us to provide analytical solutions. We find that the zero lockdown is efficient when agents do not care about the share of infected, while a positive lockdown is recommended beyond a critical level of altruism. Moreover, the lockdown intensity increases in the degree of altruism. Our robust analytical results are illustrated by numerical simulations, which show, in particular, that the optimal lockdown never trespasses 60% and that eradication is not always optimal.
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