Hyperbolic Punishment Function
AbstractAll 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 11/42.
Date of creation: Aug 2011
Date of revision:
Contact details of provider:
Postal: Department of Economics University of Leicester, University Road. Leicester. LE1 7RH. UK
Phone: +44 (0)116 252 2887
Fax: +44 (0)116 252 2908
Web page: http://www2.le.ac.uk/departments/economics
More information through EDIRC
Find related papers by JEL classification:
- D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
- K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law
This paper has been announced in the following NEP Reports:
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.:
- 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.
- 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.
- 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.
- 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.
- Garoupa, Nuno, 2001.
"Optimal magnitude and probability of fines,"
European Economic Review,
Elsevier, vol. 45(9), pages 1765-1771, October.
- Gary S. Becker, 1974.
"Crime and Punishment: An Economic Approach,"
in: Essays in the Economics of Crime and Punishment, pages 1-54
National Bureau of Economic Research, Inc.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Kolm, Serge-Christophe, 1973. "A note on optimum tax evasion," Journal of Public Economics, Elsevier, vol. 2(3), pages 265-270, July.
- Matthew Rabin, 2000.
"Risk Aversion and Expected-Utility Theory: A Calibration Theorem,"
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, 2001. "Risk Aversion and Expected Utility Theory: A Calibration Theorem," Levine's Working Paper Archive 7667, David K. Levine.
- Matthew Rabin, 2001. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Method and Hist of Econ Thought 0012001, EconWPA.
- Matthew Rabin., 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Economics Working Papers E00-279, University of California at Berkeley.
- Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
- 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.
- Dhami, Sanjit & al-Nowaihi, Ali, 2013.
"An extension of the Becker proposition to non-expected utility theory,"
Mathematical Social Sciences,
Elsevier, vol. 65(1), pages 10-20.
- Sanjit Dhami & Ali al-Nowaihi, 2011. "An extension of the Becker proposition to non-expected utility theory," Discussion Papers in Economics 11/41, Department of Economics, University of Leicester.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mrs. Alexandra Mazzuoccolo).
If references are entirely missing, you can add them using this form.