Hyperbolic Punishment Function
All models in Law and Economics use punishment functions (PF) that incorporates a trade-off between probability of detection, p, and punishment, F. Suppose society wishes to minimize the total costs of enforcement and damages from crime, T (p; F). For a given p, an optimal punishment function (OPF) determines an F that minimizes T(p; F). A popular and tractable PF is the hyperbolic punishment function (HPF). We show that the HPF is an OPF for a large class of total cost functions. Furthermore, the HPF is an upper (lower) bound for an even larger class of punishment functions. If the HPF cannot (can) deter crime then none (all) of the PF's for which the HPF is an upper (lower) bound can deter crime. Thus, if one can demonstrate that a particular policy is ineffective (effective) under the HPF, there is no need to even compute the OPF. Our results should underpin an even greater use of the HPF. We give illustrations from mainstream and behavioral economics.
|Date of creation:||Aug 2011|
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- Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
- Dhami, Sanjit & al-Nowaihi, Ali, 2007.
"Why do people pay taxes? Prospect theory versus expected utility theory,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 64(1), pages 171-192, September.
- Sanjit Dhami & Ali al-Nowaihi, 2005. "Why Do People Pay Taxes? Prospect Theory Versus Expected Utility Theory," Discussion Papers in Economics 05/23, Department of Economics, University of Leicester, revised Aug 2006.
- Wakker,Peter P., 2010.
Cambridge University Press, number 9780521748681, January.
- Kahneman, Daniel & Tversky, Amos, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Econometric Society, vol. 47(2), pages 263-91, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Matthew Rabin, 2001.
"Risk Aversion and Expected-Utility Theory: A Calibration Theorem,"
Method and Hist of Econ Thought
- Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
- Rabin, Matthew, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Department of Economics, Working Paper Series qt731230f8, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Matthew Rabin., 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Economics Working Papers E00-279, University of California at Berkeley.
- Matthew Rabin, 2001. "Risk Aversion and Expected Utility Theory: A Calibration Theorem," Levine's Working Paper Archive 7667, David K. Levine.
- Allingham, Michael G. & Sandmo, Agnar, 1972. "Income tax evasion: a theoretical analysis," Journal of Public Economics, Elsevier, vol. 1(3-4), pages 323-338, November.
- Nuno Garoupa, 2000.
"Optimal magnitude and probability of fines,"
Economics Working Papers
454, Department of Economics and Business, Universitat Pompeu Fabra.
- Gary S. Becker, 1968.
"Crime and Punishment: An Economic Approach,"
Journal of Political Economy,
University of Chicago Press, vol. 76, pages 169.
- 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.
- Kolm, Serge-Christophe, 1973. "A note on optimum tax evasion," Journal of Public Economics, Elsevier, vol. 2(3), pages 265-270, July.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
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