> The ideal collection amount is the size of the fine multiplied by the actual occurrence of the offense.
I don't think that's a logically self-consistent idea. The "actual occurrence of the offense" is not an inevitable pre-existing fact, it exists downstream of the size of the fine and efficiency of enforcement. If you fine people 5% of their annual income for going 1 mph over the speed limit, and put more traffic enforcement on the road, fewer people are going to speed.
So to answer the question "what's the ideal collection amount", you have to consider what the costs (economic and social) of rule breaking behavior are, and trade those off with how much behavior can be modified by fines, as well as the costs of enforcement.
Furthermore, just taking the statement at face value, the only way to actually collect the size of the fine multiplied by the actual occurrence of the offense is to successfully fine 100% of offenders or fine some non-offenders, but even if this is possible it's almost certainly not the "ideal" amount of enforcement.
I don't think that's a logically self-consistent idea. The "actual occurrence of the offense" is not an inevitable pre-existing fact, it exists downstream of the size of the fine and efficiency of enforcement. If you fine people 5% of their annual income for going 1 mph over the speed limit, and put more traffic enforcement on the road, fewer people are going to speed.
So to answer the question "what's the ideal collection amount", you have to consider what the costs (economic and social) of rule breaking behavior are, and trade those off with how much behavior can be modified by fines, as well as the costs of enforcement.
Furthermore, just taking the statement at face value, the only way to actually collect the size of the fine multiplied by the actual occurrence of the offense is to successfully fine 100% of offenders or fine some non-offenders, but even if this is possible it's almost certainly not the "ideal" amount of enforcement.