Insurers have the reputation of being bad payers who nitpick whenever an opportunity arises. However, this nitpicking activity has a positive impact on their auditing strategy since auditing may prove profitable when claims are not fraudulent. We show that reducing the indemnity payments of audited claims induces a lower fraud rate at equilibrium and that some degree of nitpicking is socially optimal when insurance fraud is a concern. Its remains optimal even if it induces adverse effects on policyholders' moral standards.