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Rational Inattention Via Ignorance Equivalence
Author(s) -
Roc Armenter,
Michele Muller-Itten,
Zachary Stangebye
Publication year - 2020
Publication title -
ssrn electronic journal
Language(s) - English
Resource type - Journals
ISSN - 1556-5068
DOI - 10.2139/ssrn.3521379
Subject(s) - equivalence (formal languages) , ignorance , mathematics , computer science , mathematical economics , pure mathematics , political science , law
We present a novel approach to finite Rational Inattention (RI) models based on the ignorance equivalent, a fictitious action with state-dependent payoffs that effectively summarizes the optimal learning and conditional choices. The ignorance equivalent allows us to recast the RI problem as a standard expected utility maximization over an augmented choice set called the learning-proof menu, yielding new insights regarding the behavioral implications of RI, in particular as new actions are added to the menu. Our geometric approach is also well suited to numerical methods, outperforming existing techniques both in terms of speed and accuracy, and offering robust predictions on the most frequently implemented actions.

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