Learning and Dynamic Efficiency
Learning and Dynamic Efficiency
In this chapter the authors derive conditions on the primitives of the learning environment - which encompasses both Bayesian and non-Bayesian processes - ensuring that an efficient allocation of resources is achievable in a dynamic allocation environment where impatient, privately informed agents arrive over time, and where the designer gradually learns about the distribution of agents' values. There are two main kind of conditions: 1) Higher observations should lead to more optimistic beliefs about the distribution of future values; 2) The allowed optimism associated with higher observations needs to be carefully bounded. The authors’ analysis reveals and exploits close, formal relations between the problem of ensuring monotone - and hence implementable - allocation rules in our dynamic allocation problems with incomplete information and learning, and between the classical problem of finding optimal search policies that are characterized by a reservation price property. Finally, the authors characterize the constrained efficient policy ("second-best") if the efficient policy is not implementable.
Keywords: Bayesian and non-Bayesian processes, Dynamic allocation environment
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