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We consider a dynamic Bayesian persuasion setting where a single long-lived sender persuades a stream of ``short-lived'' agents (receivers) by sharing information about a payoff-relevant state. The state transitions are Markovian and the…

Computer Science and Game Theory · Computer Science 2023-07-17 Krishnamurthy Iyer , Haifeng Xu , You Zu

In the classical Bayesian persuasion model an informed player and an uninformed one engage in a static interaction. The informed player, the sender, knows the state of nature, while the uninformed one, the receiver, does not. The informed…

Theoretical Economics · Economics 2021-11-30 Ehud Lehrer , Dimitry Shaiderman

This work investigates a dynamic variant of Bayesian persuasion, in which a strategic sender seeks to influence a receiver's belief over time through controlling the timing of the information disclosure, under resource constraints. We…

Information Theory · Computer Science 2025-12-05 Ahmet Bugra Gundogan , Melih Bastopcu

In the classical Bayesian persuasion model an informed player and an uninformed one engage in a static interaction. The informed player, the sender, knows the state of nature, while the uninformed one, the receiver, does not. The informed…

Theoretical Economics · Economics 2025-12-16 Ehud Lehrer , Dimitry Shaiderman

I study dynamic contracting where Sender privately observes a Markovian state and seeks to motivate Receiver, who acts. Sender provides incentives in two ways: payments, which alter payoffs ex-post, and (Bayesian) persuasion, which shapes…

Theoretical Economics · Economics 2026-05-22 Daniel Luo

In Bayesian persuasion, an informed sender strategically discloses information to a receiver so as to persuade them to undertake desirable actions. Recently, a growing attention has been devoted to settings in which sender and receivers…

Computer Science and Game Theory · Computer Science 2024-03-07 Francesco Bacchiocchi , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

This paper develops a data-driven approach to Bayesian persuasion. The receiver is privately informed about the prior distribution of the state of the world, the sender knows the receiver's preferences but does not know the distribution of…

Theoretical Economics · Economics 2025-08-06 Maxwell Rosenthal

We study the optimal use of information in Markov games with incomplete information on one side and two states. We provide a finite-stage algorithm for calculating the limit value as the gap between stages goes to 0, and an optimal strategy…

Optimization and Control · Mathematics 2019-03-19 Galit Ashkenazi-Golan , Catherine Rainer , Eilon Solan

This paper investigates MDPs with intermittent state information. We consider a scenario where the controller perceives the state information of the process via an unreliable communication channel. The transmissions of state information…

Artificial Intelligence · Computer Science 2025-02-17 Gongpu Chen , Soung-Chang Liew

We present a model of optimal training of a rational, sluggish agent. A trainer commits to a discrete-time, finite-state Markov process that governs the evolution of training intensity. Subsequently, the agent monitors the state and adjusts…

Theoretical Economics · Economics 2021-05-20 Kfir Eliaz , Ran Spiegler

How should an agent (the sender) observing multi-dimensional data (the state vector) persuade another agent to take the desired action? We show that it is always optimal for the sender to perform a (non-linear) dimension reduction by…

Machine Learning · Statistics 2022-10-05 Semyon Malamud , Andreas Schrimpf

I study the optimal provision of information in a long-term relationship between a sender and a receiver. The sender observes a persistent, evolving state and commits to send signals over time to the receiver, who sequentially chooses…

Theoretical Economics · Economics 2023-03-20 Ian Ball

We consider a dynamic model of Bayesian persuasion in which information takes time and is costly for the sender to generate and for the receiver to process, and neither player can commit to their future actions. Persuasion may totally…

Theoretical Economics · Economics 2022-10-03 Yeon-Koo Che , Kyungmin Kim , Konrad Mierendorff

We study a long-run persuasion problem where a long-lived Sender repeatedly interacts with a sequence of short-lived Receivers who may adopt a misspecified model for belief updating. The Sender commits to a stationary information structure,…

Theoretical Economics · Economics 2025-08-05 Hyeonggyun Ko

We study a dynamic Bayesian persuasion model called Markovian persuasion. In such a model, the belief of the receiver regarding the current state of a Markov chain $(X_n)_{n\geq 1}$, over a finite state space $K$, is controlled through…

Optimization and Control · Mathematics 2025-12-09 Dimitry Shaiderman

An agent acquires information dynamically until her belief about a binary state reaches an upper or lower threshold. She can choose any signal process subject to a constraint on the rate of entropy reduction. Strategies are ordered by "time…

Theoretical Economics · Economics 2024-08-23 Daniel Chen , Weijie Zhong

We study continuous-time persuasion where a sender controls both how informative a signal is over time and when to stop providing information to a receiver. Given an exogenous signal process, the sender can both garble the evolving signal…

Theoretical Economics · Economics 2025-12-19 Can Urgun , Mark Whitmeyer

An informed sender communicates with an uninformed receiver through a sequence of uninformed mediators; agents' utilities depend on receiver's action and the state. For any number of mediators, the sender's optimal value is characterized.…

Theoretical Economics · Economics 2022-09-13 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy

In today's economy, it becomes important for Internet platforms to consider the sequential information design problem to align its long term interest with incentives of the gig service providers. This paper proposes a novel model of…

Artificial Intelligence · Computer Science 2022-02-23 Jibang Wu , Zixuan Zhang , Zhe Feng , Zhaoran Wang , Zhuoran Yang , Michael I. Jordan , Haifeng Xu

We study how a principal can jointly shape an agent's timing and action through information. We develop a revelation principle: with intertemporal commitment, the problem simplifies to choosing a joint distribution over stopping times and…

Theoretical Economics · Economics 2025-11-26 Andrew Koh , Sivakorn Sanguanmoo , Weijie Zhong
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