Previous models of kleptoparasitism (resource stealing) assume that contest
s over resource items are of fixed duration. Here we suggest that such cont
ests will often be well represented as a war of attrition, with the winner
being the individual who is prepared to contest for the longer time. Given
that time spent in contests cannot be used to search for other resource ite
ms, we provide an analytical expression for the evolutionarily stable distr
ibution of contest times. This can be used to investigate the circumstances
under which we would expect kleptoparasitism to evolve. Ln particular, we
focus on situations where searching for conspecifics to kleptoparasitize ca
n only be achieved at a cost of reduced resource discovery by other means;
under such circumstances we show that kleptoparasitism is not evolutionaril
y stable.