Economic theories of deterrence have primarily been built on static mo
dels. A common and serious shortcoming of the existing dynamic deterre
nce models is the assumption of a two-period structure that ignores re
cidivism. The aims of this paper are to formulate and solve a general
dynamic deterrence model that incorporates recidivistic behaviour, to
explore its implications, and to derive some testable predictions. The
analysis shows how the value and the intensity of engaging in illegal
activity change over time, highlights the weaknesses of two-period de
terrence models and compares the deterrent effectiveness of increasing
the likelihood of punishment versus the severity of punishment. Final
ly, the recidivistic model provides a structural foundation for the wi
dely used stochastic-process models of crime in operations research an
d criminology.