So-called "three strikes and you're out" sentencing laws for criminal offen
ders have proliferated in the United States. The laws vary considerably in
their definitions of what constitutes a "strike." This paper adapts the cla
ssic Poisson process model of criminal offending to investigate how varying
sentence lengths and definitions of what constitutes a strike affect the e
ffectiveness and cost-effectiveness of these sentencing laws. In particular
, it asks whether, by using different definitions for the first, second, an
d third strikes or different sentence lengths, one can make the resulting i
ncarceration more "efficient" in the sense of incapacitating more crimes pe
r cell-year served.