Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy

By Andrew Caplin, Mark Dean, John Leahy. Journal of Political Economy, 2017

146 citations recorded by the source corpus.

We introduce three new classes of attention cost functions: posterior separable, uniformly posterior separable, and invariant posterior separable. As with the Shannon cost function, all can be solved using Lagrangian methods. Uniformly posterior-separable cost functions capture many forms of sequential learning and hence play a key role in many applications. Invariant posterior-separable cost functions make learning strategies depend exclusively on payoff uncertainty. We introduce two behavioral axioms, Locally Invariant Posteriors and Only Payoffs Matter, which identify posterior-separable functions as uniformly and invariant posterior separable, respectively. In combination, they pinpoint the Shannon cost function.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5681e2223ac3d672bca6ec4d43bf59515d7eae99

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In Artificial Intelligence

  1. Xavier Gabaix

In Management Science and Operations Research

  1. Xavier Gabaix

In Statistical and Nonlinear Physics

  1. Xavier Gabaix

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