NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Search Profiling with Partial Knowledge of Deterrence

Charles F. Manski

NBER Working Paper No. 11848*
Issued in December 2005
NBER Program(s):   PE

Economists studying public policy have generally assumed that the relevant social planner knows

how policy affects population behavior. Planners typically do not possess all of this knowledge, so

there is reason to consider policy formation with partial knowledge of policy impacts. Here I

consider the choice of a profiling policy where decisions to search for evidence of crime may vary

with observable covariates of the persons at risk of being searched. To begin I pose a planning

problem whose objective is to minimize the utilitarian social cost of crime and search. The

consequences of candidate search rules depends on the extent to which search deters crime.

Deterrence is expressed through the offense function, which describes how the offense rate of

persons with given covariates varies with the search rate applied to these persons. I study the

planning problem when the planner has partial knowledge of the offense function. To demonstrate

general ideas, I suppose that the planner observes the offense rates of a study population whose

search rule has previously been chosen. He knows that the offense rate weakly decreases as the

search rate increases, but he does not know the magnitude of the deterrent effect of search. In this

setting, I first show how the planner can eliminate dominated search rules and then how he can use

the minimax or minimax-regret criterion to choose an undominated search rule.

*Published: Manski, Charles F. "Optimal Search Profiling With Linear Deterrence," American Economic Review, 2005, v95(2,May), 12-126.

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