Munich Personal RePEc Archive

Optimal Law Enforcement: Nuance Between Arrest and Punishment

Ramanambonona, Ambinintsoa and Razafindravonona, Jean and Ranoelimanana, Dimby (2023): Optimal Law Enforcement: Nuance Between Arrest and Punishment.


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In the economic literature on law enforcement, the distinction between the probability of arrest and the probability of conviction is not explicit. However, detection does not necessarily imply punishment. This paper focuses on proving that punishment cannot be applied without preceding detection. In this context, in the case of non-apprehension, the offender expects a double gain: monetary and non-monetary gains. The result shows that if the arrest is optimal, the reputation is equal to zero, which means that the arrest deters reputational gain. Punishment has a negative impact on the monetary gain expected by the offender

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