Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy

Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy
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理性的注意力不集中行为:香农熵的表征和概括

DOI:
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发表时间:
2017
影响因子:
8.2
通讯作者:
John Leahy
John Leahy
中科院分区:
经济学1区
文献类型:
--
作者:
Andrew Caplin;M. Dean;John Leahy

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我们引入了三种新的注意成本函数:后向可分函数、一致后向可分函数和不变后向可分函数。与香农成本函数一样,所有这些都可以用拉格朗日方法求解。统一后可分离成本函数捕获了许多形式的顺序学习,因此在许多应用中发挥了关键作用。不变后可分离的成本函数使得学习策略完全依赖于支付的不确定性。我们引入了两个行为公理,局部不变后验和只有回报重要,分别将后验可分函数定义为一致和不变后验可分函数。综合起来,他们确定了香农成本函数。
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.
DOI: 10.3982/ecta10575
发表时间: 2012-10
期刊: Econometrics: Multiple Equation Models eJournal
影响因子: --
作者:
Paola Manzini;M. Mariotti
通讯作者: Paola Manzini;M. Mariotti
DOI: 10.1109/tit.2019.2958705
发表时间: 2018-10
影响因子: 2.5
作者:
Amichai Painsky;G. Wornell
通讯作者: Amichai Painsky;G. Wornell