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Hang ’em with probability zero: Why does it not work?

Author

Listed:
  • Sanjit Dhami

  • Ali al-Nowaihi

Abstract

A celebrated result in the economics of crime, which we call the Becker proposition (BP), states that it is optimal to impose the severest possible punishment (to maintain effective deterrence) at the lowest possible probability (to economize on enforcement costs). Several other applications, some unrelated to the economics of crime, arise when an economic agent faces punishments/ rewards with very low probabilities. For instance, insurance against low probability events, principal-agent contracts that impose punitive fines, seat belt usage and the usage of mobile phones among drivers etc. However, the BP, and the other applications mentioned above, are at variance with the evidence. The BP has largely been considered within an expected utility framework (EU). We re-examine the BP under rank dependent expected utility (RDU) and prospect theory (PT). We find that the BP always holds under RDU. However, under plausible scenarios within PT it does not hold, in line with the evidence.

Suggested Citation

  • Sanjit Dhami & Ali al-Nowaihi, 2006. "Hang ’em with probability zero: Why does it not work?," Discussion Papers in Economics 06/14, Division of Economics, School of Business, University of Leicester.
    • Handle: RePEc:lec:leecon:06/14
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    References listed on IDEAS

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    1. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters, in: Essays in the Economics of Crime and Punishment, pages 1-54, National Bureau of Economic Research, Inc.
    2. Avner Bar-Ilan & Bruce Sacerdote, 2001. "The Response to Fines and Probability of Detection in a Series of Experiments," NBER Working Papers 8638, National Bureau of Economic Research, Inc.
    3. Bar-Ilan, Avner & Sacerdote, Bruce, 2004. "The Response of Criminals and Noncriminals to Fines," Journal of Law and Economics, University of Chicago Press, vol. 47(1), pages 1-17, April.
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    6. Ali al-Nowaihi & Sanjit Dhami, 2005. "Insurance and Probability Weighting Functions," Discussion Papers in Economics 05/19, Division of Economics, School of Business, University of Leicester, revised Sep 2006.
    7. Steven Shavell & A. Mitchell Polinsky, 2000. "The Economic Theory of Public Enforcement of Law," Journal of Economic Literature, American Economic Association, vol. 38(1), pages 45-76, March.
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    Citations

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    Cited by:

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    4. Supanika Leurcharusmee, 2012. "Is penalty for academic cheating an incredible threat?," The Empirical Econometrics and Quantitative Economics Letters, Faculty of Economics, Chiang Mai University, vol. 1(2), pages 81-96, June.

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law

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