In this chapter the authors review several models where agents are long-lived and hence they can manipulate the timing of their purchase. They first study the case where agents are long lived but objects are short lived. Then they review models where both agents and goods are long lived. They present applications to queue management of randomly arriving customers who are awarded priorities for using a processing device. Finally, the authors consider a class of dynamic screening models where the population is fixed, while the private information evolves over time.
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