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A note on a continuous-time search model with several offer streams. (English) Zbl 0754.60041
Summary: We consider a continuous-time search model with \(n\) random offer streams forming independent renewal processes. The distribution of the offer size may depend on the arrival time and the type of the offer, and there is a constant search cost per unit time. The searcher wants to select an offer such that the expected discounted reward is maximized. We present a method for computing such a strategy and apply it to some numerical examples. In the case of Poisson offer streams a more direct approach is also given.

MSC:
60G40 Stopping times; optimal stopping problems; gambling theory
90B40 Search theory
91B40 Labor market, contracts (MSC2010)
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