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Optimal enforcement of law is examined in a model with specific enforcement effort--effort devoted toward apprehending individuals who have committed a single type of harmful act--and general enforcement effort--effort devoted toward apprehending individuals who have committed any of a range of harmful acts (a police officer on patrol, for instance, is able to apprehend many types of violators of law). If enforcement effort is specific, optimal sanctions are extreme for all acts. If enforcement effort is general, however, optimal sanctions rise with the harmfulness of acts and reach the extreme only for the most harmful acts.
Steven Shavell (Tue,) studied this question.