@inbook{991b762b958d41e198a65e4635783e01,
title = "Topological properties of information structures: Comparison, convergence, and optimization",
abstract = "This chapter investigates the optimal design of information structures, and studies a number of topological properties of information structures modeled as observation channels under various topologies. Continuity, compactness, concavity, and existence properties are studied for single-stage and multi-stage optimal stochastic control problems. An introduction to quantizers is given. Quantizers are viewed as a special class of measurement channels, and existence of optimal quantizers is established. Furthermore, a partial ordering on the value of information channels for the minimization of cost functions is studied (known as Blackwell ordering). Applications to empirical consistency and learning are discussed.",
keywords = "Input distribution, Measurement channel, Optimal quantizer, Probability measure, Weak convergence",
author = "Serdar Y{\"u}ksel and Tamer Ba{\c s}ar",
note = "Publisher Copyright: {\textcopyright} 2013, Springer Science+Business Media New York.",
year = "2013",
doi = "10.1007/978-1-4614-7085-4_4",
language = "English (US)",
series = "Systems and Control: Foundations and Applications",
publisher = "Birkh{\"a}user",
number = "9781461470847",
pages = "119--151",
booktitle = "Systems and Control",
address = "Switzerland",
edition = "9781461470847",
}