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Flexible Learning via Noise Reduction

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  • Peter Achim
  • Kemal Ozbek

Abstract

We develop a novel framework for costly information acquisition in which a decision-maker learns about an unobserved state by choosing a signal distribution, with the cost of information determined by the distribution of noise in the signal. We show that a natural set of axioms admits a unique integral representation of the cost function, and we establish the uniform dominance principle: there always exists an optimal experiment that generates signals with uniform noise. The uniform dominance principle allows us to reduce the infinite-dimensional optimization problem of finding an optimal information structure to finding a single parameter that measures the level of noise. We show that an optimal experiment exists under natural conditions, and we characterize it using generalized first-order conditions that accommodate non-smooth payoff functions and decision rules. Finally, we demonstrate the tractability of our framework in a bilateral trade setting in which a buyer learns about product quality.

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  • Peter Achim & Kemal Ozbek, 2025. "Flexible Learning via Noise Reduction," Papers 2503.20741, arXiv.org.
  • Handle: RePEc:arx:papers:2503.20741
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    References listed on IDEAS

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    1. Luciano Pomatto & Philipp Strack & Omer Tamuz, 2018. "The Cost of Information: The Case of Constant Marginal Costs," Papers 1812.04211, arXiv.org, revised Feb 2023.
    2. Luciano Pomatto & Philipp Strack & Omer Tamuz, 2023. "The Cost of Information: The Case of Constant Marginal Costs," American Economic Review, American Economic Association, vol. 113(5), pages 1360-1393, May.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    5. Doron Ravid, 2020. "Ultimatum Bargaining with Rational Inattention," American Economic Review, American Economic Association, vol. 110(9), pages 2948-2963, September.
    6. Tommaso Denti & Massimo Marinacci & Aldo Rustichini, 2022. "Experimental Cost of Information," American Economic Review, American Economic Association, vol. 112(9), pages 3106-3123, September.
    7. de Oliveira, Henrique & Denti, Tommaso & Mihm, Maximilian & Ozbek, Kemal, 2017. "Rationally inattentive preferences and hidden information costs," Theoretical Economics, Econometric Society, vol. 12(2), May.
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