A decision maker can experiment on up to two alternatives simultaneously over time. One and only one of these alternatives can produce successes, according to a Poisson process with known arrival rate; but there is uncertainty as to which alternative is the profitable one. The decision maker only...

This paper addresses the problem of sequentially allocating timesensitive goods, or one-period leases on a durable good, among agents who compete through time and learn about the common component of the value of the allocation through experience. I show that efficiency is unattainable, and I...

The problemof choosing an optimal toolkit day after day,when there is uncertainty concerning the value of different tools that can only be resolved by carrying the tools, is a multi-armed bandit problem with nonindependent arms. Accordingly, except for very simple specifications, this...

A decision maker faces an unobserved state of nature. She updates her prior on the state based on the realizations of a signal. In this note, we show that the expected posterior on any given state, taking expectation under the conditional distribution of the signal on this same state, is never...

In standard experimentation problems, decision makers are allowed to experiment on at most one project at a time. Would it ever be beneficial to experiment on more than one project simultaneously if we let them? We show that the answer is Yes, even if it is known that only one of the projects is...

The problem of choosing an optimal toolkit day after day, when the distribution of values of different toolkits is uncertain and can only be observed by carrying different toolkits, is a multi-armed bandit problem with non-independent arms. Accordingly, except for very simple specifications,...