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Optimal Prevention for Multiple Risks
Author(s) -
Courbage Christophe,
Loubergé Henri,
Peter Richard
Publication year - 2017
Publication title -
journal of risk and insurance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.055
H-Index - 63
eISSN - 1539-6975
pISSN - 0022-4367
DOI - 10.1111/jori.12105
Subject(s) - comparative statics , economics , public economics , actuarial science , microeconomics
This article analyzes optimal prevention in a situation of multiple, possibly correlated risks. We focus on probability reduction (self‐protection) so that correlation becomes endogenous. If prevention concerns only one risk, introducing a second exogenous risk increases the level of prevention expenditures, even if correlation is negative. If prevention expenditures may be invested for both risks, a substitution effect arises. Under nonincreasing returns on self‐protection, we find that increased dependence increases aggregate prevention expenditures, but not necessarily prevention expenditures for each risk due to differences in prevention efficiency. Similar results are found when considering changes in the severity of losses. Consequently, the comparative statics emphasize global effects versus allocation effects. Our results have strong policy implications, considering the numerous mandatory safety measures introduced by governments over the past years.

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