Learning from manipulable signals

We study a dynamic stopping game between a principal and an agent. The agent is privately informed about his type. The principal learns about the agent’s type from a noisy performance measure, which can be manipulated by the agent via a costly and hidden action. We fully characterize the unique Mark...

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Bibliographic Details
Main Authors: EKMEKCI, Mehmet, GORNO, Leandrro, MAESTRI, Lucas, SUN, Jian, WEI, Dong
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2022
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Online Access:https://ink.library.smu.edu.sg/lkcsb_research/7105
https://ink.library.smu.edu.sg/context/lkcsb_research/article/8104/viewcontent/2007.08762.pdf
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Institution: Singapore Management University
Language: English
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Summary:We study a dynamic stopping game between a principal and an agent. The agent is privately informed about his type. The principal learns about the agent’s type from a noisy performance measure, which can be manipulated by the agent via a costly and hidden action. We fully characterize the unique Markov equilibrium of this game. We find that terminations/ market crashes are often preceded by a spike in (expected) performance. Our model also predicts that, due to endogenous signal manipulation, too much transparency can inhibit learning. As the players get arbitrarily patient, the principal elicits no useful information from the observed signal.