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We consider the information environment in which beliefs are based on a common prior.
Weaving was most common prior to feeding in the morning and prior to putting out to pasture in the afternoon.
The concept of a unique invariant common prior is used to regularize the estimation method, and proven to converge using the Method of Successive Averages.
In many respects the Halls helped create the modern greeting-card industry, pioneering the sale of the inexpensive card-plus-envelope to replace the postcards and elaborate Valentines common prior to World War I.
Furthermore, given any common prior, there always exists an intermediate set of relative population sizes, where the equilibrium outcome is independent of the sizes, and the costs of all populations are identical.
A second goal is to argue that quite restrictive assumptions are necessary to justify the concept of Nash equilibrium without a common prior as a steady state of a learning process.
Similar(7)
Our result implies genericity of (non-common or common) priors with the BDP property.
Our results can be used to also establish the genericity of common priors that admit full surplus extraction.
They argue that the set of incomplete-information models with common priors that satisfy this so-called BDP property ("beliefs determine preferences") is negligible.
In a recent paper, [Bergemann et al. 2017a], we derive results about equilibrium behavior in the first-price auction that hold across all common-prior information structures.
A unique smoothing method is also developed to address the issue of global model distortion common to prior smoothing procedures.
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