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Search Profiling with Partial Knowledge of Deterrence

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Author Info
Charles F. Manski

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Abstract

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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 11848.

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Date of creation: Dec 2005
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Handle: RePEc:nbr:nberwo:11848

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Find related papers by JEL classification:
H8 - Public Economics - - Miscellaneous Issues
K4 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. A. Mitchell Polinsky & Steven Shavell, 2000. "The Economic Theory of Public Enforcement of Law," Journal of Economic Literature, American Economic Association, vol. 38(1), pages 45-76, March. [Downloadable!] (restricted)
    Other versions:
  2. Charles F. Manski, 2005. "Optimal Search Profiling with Linear Deterrence," American Economic Review, American Economic Association, vol. 95(2), pages 122-126, May. [Downloadable!]
  3. Charles F. Manski, 1997. "Monotone Treatment Response," Econometrica, Econometric Society, vol. 65(6), pages 1311-1334, November.
  4. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Blackwell Publishing, vol. 38(114), pages 175-208, April. [Downloadable!] (restricted)
  5. repec:att:wimass:192052 is not listed on IDEAS
  6. John Knowles & Nicola Persico & Petra Todd, 2001. "Racial Bias in Motor Vehicle Searches: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 109(1), pages 203-232, February. [Downloadable!] (restricted)
    Other versions:
  7. Nicola Persico, 2002. "Racial Profiling, Fairness, and Effectiveness of Policing," American Economic Review, American Economic Association, vol. 92(5), pages 1472-1497, December. [Downloadable!]
  8. Manski, Charles F., 2000. "Identification problems and decisions under ambiguity: Empirical analysis of treatment response and normative analysis of treatment choice," Journal of Econometrics, Elsevier, vol. 95(2), pages 415-442, April. [Downloadable!] (restricted)
  9. Charles F. Manski, 2004. "Statistical Treatment Rules for Heterogeneous Populations," Econometrica, Econometric Society, vol. 72(4), pages 1221-1246, 07. [Downloadable!] (restricted)
    Other versions:
  10. repec:att:wimass:1920421 is not listed on IDEAS
  11. Jeff Dominitz, 2003. "How Do the Laws of Probability Constrain Legislative and Judicial Efforts to Stop Racial Profiling?," American Law and Economics Review, Oxford University Press, vol. 5(2), pages 412-432, August.
  12. Nicola Persico & Petra Todd, 2005. "Using Hit Rates to Test for Racial Bias in Law Enforcement: Vehicle Searches in Wichita," PIER Working Paper Archive 05-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jeff Dominitz & John Knowles, 2005. "Crime Minimization and Racial Bias: What Can We Learn From Police Search Data?," PIER Working Paper Archive 05-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
    Other versions:
  2. William A. Brock & Steven N. Durlauf & James M. Nason & Giacomo Rondina, 2007. "Simple versus optimal rules as guides to policy," Working Paper 2007-07, Federal Reserve Bank of Atlanta. [Downloadable!]
    Other versions:
  3. Nicola Persico & Petra Todd, 2005. "Using Hit Rates to Test for Racial Bias in Law Enforcement: Vehicle Searches in Wichita," PIER Working Paper Archive 05-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
  4. William A. Brock & Charles F. Manski, 2008. "Competitive Lending with Partial Knowledge of Loan Repayment," NBER Working Papers 14378, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Charles F. Manski, 2008. "Partial Prescriptions For Decisions With Partial Knowledge," NBER Working Papers 14396, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Charles F. Manski, 2005. "Optimal Search Profiling with Linear Deterrence," American Economic Review, American Economic Association, vol. 95(2), pages 122-126, May. [Downloadable!]
  7. Nicola Persico & Petra Todd, 2004. "Using Hit Rate Tests to Test for Racial Bias in Law Enforcement: Vehicle Searches in Wichita," NBER Working Papers 10947, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Charles Manski, 2008. "Adaptive partial policy innovation: coping with ambiguity through diversification," CeMMAP working papers CWP10/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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