Two-Sided Learning and the Ratchet Principle

I study a class of continuous-time games of learning and imperfect monitoring. A long-run player and a market share a common prior about the initial value of a Gaussian hidden state, and learn about its subsequent values by observing a noisy public signal. The long-run player can nevertheless contro...

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Main Author: Cisternas Leyton, Gonzalo Sebastian
Other Authors: Sloan School of Management
Format: Article
Language:English
Published: Oxford University Press (OUP) 2019
Online Access:https://hdl.handle.net/1721.1/122362
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author Cisternas Leyton, Gonzalo Sebastian
author2 Sloan School of Management
author_facet Sloan School of Management
Cisternas Leyton, Gonzalo Sebastian
author_sort Cisternas Leyton, Gonzalo Sebastian
collection MIT
description I study a class of continuous-time games of learning and imperfect monitoring. A long-run player and a market share a common prior about the initial value of a Gaussian hidden state, and learn about its subsequent values by observing a noisy public signal. The long-run player can nevertheless control the evolution of this signal, and thus affect the market’s belief. The public signal has an additive structure, and noise is Brownian. I derive conditions for an ordinary differential equation to characterize equilibrium behavior in which the long-run player’s actions depend on the history of the game only through the market’s correct belief. Using these conditions, I demonstrate the existence of pure-strategy equilibria in Markov strategies for settings in which the long-run player’s flow utility is nonlinear. The central finding is a learning-driven ratchet principle affecting incentives. I illustrate the economic implications of this principle in applications to monetary policy, earnings management, and career concerns.
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spelling mit-1721.1/1223622022-10-01T00:51:06Z Two-Sided Learning and the Ratchet Principle Cisternas Leyton, Gonzalo Sebastian Sloan School of Management I study a class of continuous-time games of learning and imperfect monitoring. A long-run player and a market share a common prior about the initial value of a Gaussian hidden state, and learn about its subsequent values by observing a noisy public signal. The long-run player can nevertheless control the evolution of this signal, and thus affect the market’s belief. The public signal has an additive structure, and noise is Brownian. I derive conditions for an ordinary differential equation to characterize equilibrium behavior in which the long-run player’s actions depend on the history of the game only through the market’s correct belief. Using these conditions, I demonstrate the existence of pure-strategy equilibria in Markov strategies for settings in which the long-run player’s flow utility is nonlinear. The central finding is a learning-driven ratchet principle affecting incentives. I illustrate the economic implications of this principle in applications to monetary policy, earnings management, and career concerns. 2019-10-03T18:59:00Z 2019-10-03T18:59:00Z 2018-01 2014-05 2019-09-27T11:43:59Z Article http://purl.org/eprint/type/JournalArticle 1467-937X 0034-6527 https://hdl.handle.net/1721.1/122362 Cisternas, Gonzalo et al. "Two-Sided Learning and the Ratchet Principle." Review of Economic Studies 85, 1 (January 2018): 307-351 en http://dx.doi.org/10.1093/RESTUD/RDX019 Review of Economic Studies Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press (OUP) Prof. Cisternas via Shikha Sharma
spellingShingle Cisternas Leyton, Gonzalo Sebastian
Two-Sided Learning and the Ratchet Principle
title Two-Sided Learning and the Ratchet Principle
title_full Two-Sided Learning and the Ratchet Principle
title_fullStr Two-Sided Learning and the Ratchet Principle
title_full_unstemmed Two-Sided Learning and the Ratchet Principle
title_short Two-Sided Learning and the Ratchet Principle
title_sort two sided learning and the ratchet principle
url https://hdl.handle.net/1721.1/122362
work_keys_str_mv AT cisternasleytongonzalosebastian twosidedlearningandtheratchetprinciple