3 papers
econ.TH2025
The value of conceptual knowledge
Benjamin Davies, Anirudh Sankar
We study the instrumental value of conceptual knowledge when making statistical decisions. Such knowledge tells agents how unknown, payoff-relevant states relate. It is distinct fr…
math.ST2024
Estimating sample paths of Gauss-Markov processes from noisy data
Benjamin Davies
I derive the pointwise conditional means and variances of an arbitrary Gauss-Markov process, given noisy observations of points on a sample path. These moments depend on the proces…
econ.TH2024
Learning about a changing state
Benjamin Davies
A long-lived Bayesian agent observes costly signals of a time-varying state. He chooses the signals' precisions sequentially, balancing their costs and marginal informativeness. I…