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We address Bayesian persuasion between a sender and a receiver with state-dependent quadratic cost measures for general classes of distributions. The receiver seeks to make mean-square-error estimate of a state based on a signal sent by the…

Computer Science and Game Theory · Computer Science 2020-09-15 Muhammed O. Sayin , Tamer Basar

The celebrated Bayesian persuasion model considers strategic communication between an informed agent (the sender) and uninformed decision makers (the receivers). The current rapidly-growing literature mostly assumes a dichotomy: either the…

Computer Science and Game Theory · Computer Science 2022-03-16 Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi

We consider a Bayesian persuasion or information design problem where the sender tries to persuade the receiver to take a particular action via a sequence of signals. This we model by considering multi-phase trials with different…

Theoretical Economics · Economics 2021-11-24 Shih-Tang Su , Vijay G. Subramanian , Grant Schoenebeck

Network congestion games are a well-understood model of multi-agent strategic interactions. Despite their ubiquitous applications, it is not clear whether it is possible to design information structures to ameliorate the overall experience…

Computer Science and Game Theory · Computer Science 2020-02-14 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti

Bayesian persuasion, a central model in information design, studies how a sender, who privately observes a state drawn from a prior distribution, strategically sends a signal to influence a receiver's action. A key assumption is that both…

Computer Science and Game Theory · Computer Science 2025-05-23 Jingwu Tang , Jiahao Zhang , Fei Fang , Zhiwei Steven Wu

Bayesian persuasion studies how an informed sender should influence beliefs of rational receivers who take decisions through Bayesian updating of a common prior. We focus on the online Bayesian persuasion framework, in which the sender…

Computer Science and Game Theory · Computer Science 2023-03-03 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti , Francesco Trovò

The Bayesian persuasion model studies communication between an informed sender and a receiver with a payoff-relevant action, emphasizing the ability of a sender to extract maximal surplus from his informational advantage. In this paper we…

Computer Science and Game Theory · Computer Science 2020-06-04 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

In the Bayesian persuasion model, a sender can convince a receiver to choose an alternative action to the one originally preferred by the receiver. A crucial assumption in this model is the sender's commitment to a predetermined information…

Computer Science and Game Theory · Computer Science 2024-12-04 Jiahao Zhang , Shuran Zheng , Renato Paes Leme , Zhiwei Steven Wu

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

I describe a Bayesian persuasion problem where Receiver has a private type representing a cutoff for choosing Sender's preferred action, and Sender has maxmin preferences over all Receiver type distributions with known mean and bounds. This…

Theoretical Economics · Economics 2025-09-03 Eitan Sapiro-Gheiler

In Bayesian persuasion, an informed sender, who observes a state, commits to a randomized signaling scheme that guides a self-interested receiver's actions. Classical models assume the receiver knows the commitment. We, instead, study the…

Computer Science and Game Theory · Computer Science 2025-10-03 Caleb Probine , Mustafa O. Karabag , Ufuk Topcu

We introduce and study the problem of detecting whether an agent is updating their prior beliefs given new evidence in an optimal way that is Bayesian, or whether they are biased towards their own prior. In our model, biased agents form…

Computer Science and Game Theory · Computer Science 2024-10-31 Yiling Chen , Tao Lin , Ariel D. Procaccia , Aaditya Ramdas , Itai Shapira

Bayesian persuasion, an extension of cheap-talk communication, involves an informed sender committing to a signaling scheme to influence a receiver's actions. Compared to cheap talk, this sender's commitment enables the receiver to verify…

Computer Science and Game Theory · Computer Science 2025-06-10 Yue Lin , Shuhui Zhu , William A Cunningham , Wenhao Li , Pascal Poupart , Hongyuan Zha , Baoxiang Wang

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

We consider a population of Bayesian agents who share a common prior over some finite state space and each agent is exposed to some information about the state. We ask which distributions over empirical distributions of posteriors beliefs…

Computer Science and Game Theory · Computer Science 2022-02-07 Itai Arieli , Yakov Babichenko

We study the computations that Bayesian agents undertake when exchanging opinions over a network. The agents act repeatedly on their private information and take myopic actions that maximize their expected utility according to a fully…

Statistics Theory · Mathematics 2022-01-21 Jan Hązła , Ali Jadbabaie , Elchanan Mossel , M. Amin Rahimian

Persuasion studies how a principal can influence agents' decisions via strategic information revelation --- often described as a signaling scheme --- in order to yield the most desirable equilibrium outcome. Recently, there has been a large…

Computer Science and Game Theory · Computer Science 2019-10-22 Haifeng Xu

In bipartite matching problems, agents on two sides of a graph want to be paired according to their preferences. The stability of a matching depends on these preferences, which in uncertain environments also reflect agents' beliefs about…

Computer Science and Game Theory · Computer Science 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

We consider a persuasion problem between a sender and a receiver whose utility may be nonlinear in her belief; we call such receivers risk-conscious. Such utility models arise when the receiver exhibits systematic biases away from…

Theoretical Economics · Economics 2023-07-17 Jerry Anunrojwong , Krishnamurthy Iyer , David Lingenbrink

User preference learning is generally a hard problem. Individual preferences are typically unknown even to users themselves, while the space of choices is infinite. Here we study user preference learning from information-theoretic…

Machine Learning · Computer Science 2023-11-27 Tanya Ignatenko , Kirill Kondrashov , Marco Cox , Bert de Vries