An asymmetric dynamic struggle between pirates and producers
AbstractThe purpose of this paper is to contribute to our understanding of the dynamics of struggles over resources by studying a game between a producer that can guard and buy fortifications and a pirate. It is assumed that the returns from defence and raiding depends on the ratio of the resources spent on each activity and that all produced goods can be stolen. It attempts to characterise the trajectory of the resources and the defence and raiding activities of the pirate and producer. I show, among other things, that the pirate’s strategy is to farm the producer and that the pirate’s raiding activities and resources will decline as the productive capacity of the producer increases. I also show that a flexible guarding strategy may be preferred to fixed fortifications if the producer’s resources are low at any time. JEL Categories: C61, C72, P14, D00.
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 University of Massachusetts Amherst, Department of Economics in its series UMASS Amherst Economics Working Papers with number 2006-07.
Date of creation: Jun 2006
Date of revision:
resource struggles; piracy; differential games; optimal control.;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- P14 - Economic Systems - - Capitalist Systems - - - Property Rights
- D00 - Microeconomics - - General - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-07-02 (All new papers)
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.:
- Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
- John W. Maxwell & Rafael Reuveny, 2004.
2004-27, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Skaperdas, Stergios, 1992.
"Cooperation, Conflict, and Power in the Absence of Property Rights,"
American Economic Review,
American Economic Association, vol. 82(4), pages 720-39, September.
- Skaperdas, S., 1991. "Cooperation, Conflict And Power In The Absence Of Property Rights," Papers 90-91-06a, California Irvine - School of Social Sciences.
- Grossman, Herschel I & Kim, Minseong, 1996.
" Predation and Accumulation,"
Journal of Economic Growth,
Springer, vol. 1(3), pages 333-50, September.
- Muthoo, Abhinay, 2004.
"A model of the origins of basic property rights,"
Games and Economic Behavior,
Elsevier, vol. 49(2), pages 288-312, November.
- Grossman, Herschel I & Kim, Minseong, 1995. "Swords or Plowshares? A Theory of the Security of Claims to Property," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1275-88, December.
- Skaperdas, Stergios & Syropoulos, Constantinos, 1997. "The Distribution of Income in the Presence of Appropriative Activities," Economica, London School of Economics and Political Science, vol. 64(253), pages 101-17, February.
- Bush, Winston C. & Mayer, Lawrence S., 1974. "Some implications of anarchy for the distribution of property," Journal of Economic Theory, Elsevier, vol. 8(4), pages 401-412, August.
- Herschel I. Grossman, 1998.
"Producers and Predators,"
98-6, Brown University, Department of Economics.
- Suresh P. Sethi, 1979. "Optimal Pilfering Policies for Dynamic Continuous Thieves," Management Science, INFORMS, vol. 25(6), pages 535-542, June.
- Karl Warneryd, 1993. "Anarchy, Uncertainty, And The Emergence Of Property Rights," Economics and Politics, Wiley Blackwell, vol. 5(1), pages 1-14, 03.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lisa Saunders).
If references are entirely missing, you can add them using this form.