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.
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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)
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