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We show that it can be suboptimal for Bayesian decision-making agents employing social learning to use correct prior probabilities as their initial beliefs. We consider sequential Bayesian binary hypothesis testing where each individual…

Information Theory · Computer Science 2026-03-12 Joong Bum Rhim , Vivek K Goyal

We study a setting where Bayesian agents with a common prior have private information related to an event's outcome and sequentially make public announcements relating to their information. Our main result shows that when agents' private…

Computer Science and Game Theory · Computer Science 2022-11-28 Yuqing Kong , Grant Schoenebeck

This work is a technical approach to modeling false information nature, design, belief impact and containment in multi-agent networks. We present a Bayesian mathematical model for source information and viewer's belief, and how the former…

Social and Information Networks · Computer Science 2018-04-06 Amin Khajehnejad , Shima Hajimirza

This paper studies the persuasion of a receiver who accesses information only if she exerts costly attention effort. A sender designs an experiment to persuade the receiver to take a specific action. The experiment affects the receiver's…

Theoretical Economics · Economics 2026-04-07 Pietro Dall'Ara

We develop a Bayesian model for decision-making under time pressure with endogenous information acquisition. In our model, the decision maker decides when to observe (costly) information by sampling an underlying continuous-time stochastic…

Artificial Intelligence · Computer Science 2016-10-25 Ahmed M. Alaa , Mihaela van der Schaar

The literature on strategic communication originated with the influential cheap talk model, which precedes the Bayesian persuasion model by three decades. This model describes an interaction between two agents: sender and receiver. The…

Computer Science and Game Theory · Computer Science 2024-09-11 Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi

We consider a group of Bayesian agents who are each given an independent signal about an unknown state of the world, and proceed to communicate with each other. We study the question of asymptotic learning: do agents learn the state of the…

Statistics Theory · Mathematics 2012-11-14 Elchanan Mossel , Allan Sly , Omer Tamuz

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

In the classical communication setting multiple senders having access to the same source of information and transmitting it over channel(s) to a receiver in general leads to a decrease in estimation error at the receiver as compared with…

Computer Science and Game Theory · Computer Science 2023-06-27 Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

In this paper we design information elicitation mechanisms for Bayesian auctions. While in Bayesian mechanism design the distributions of the players' private types are often assumed to be common knowledge, information elicitation considers…

Computer Science and Game Theory · Computer Science 2018-06-27 Jing Chen , Bo Li , Yingkai Li

This paper formally models the strategic repeated interactions between a system, comprising of a machine learning (ML) model and associated explanation method, and an end-user who is seeking a prediction/label and its explanation for a…

Computer Science and Game Theory · Computer Science 2022-08-24 Kavita Kumari , Murtuza Jadliwala , Sumit Kumar Jha , Anindya Maiti

I consider the monopolistic pricing of informational good. A buyer's willingness to pay for information is from inferring the unknown payoffs of actions in decision making. A monopolistic seller and the buyer each observes a private signal…

Theoretical Economics · Economics 2018-10-18 Weijie Zhong

In a multi-channel marketing world, the purchase decision journey encounters many interactions (e.g., email, mobile notifications, display advertising, social media, and so on). These impressions have direct (main effects), as well as…

Applications · Statistics 2022-06-01 Ritwik Sinha , David Arbour , Aahlad Manas Puli

In persuasion problems where the receiver's action is one-dimensional and his utility is single-peaked, optimal signals are characterized by duality, based on a first-order approach to the receiver's problem. A signal is optimal iff the…

Theoretical Economics · Economics 2022-08-31 Anton Kolotilin , Roberto Corrao , Alexander Wolitzky

Cheng (2025) establishes that in a persuasion game where both the sender and the receiver have Maxmin Expected Utility (MEU) preferences, the sender never strictly benefits from using ambiguous communication strategies over standard…

Theoretical Economics · Economics 2025-08-27 Xiaoyu Cheng

We consider a mean-field game model where the cost functions depend on a fixed parameter, called \textit{state}, which is unknown to players. Players learn about the state from a a stream of private signals they receive throughout the game.…

Optimization and Control · Mathematics 2024-02-01 Eran Shmaya , Bruno Ziliotto

It is common in recommendation systems that users both consume and produce information as they make strategic choices under uncertainty. While a social planner would balance "exploration" and "exploitation" using a multi-armed bandit…

Computer Science and Game Theory · Computer Science 2019-02-20 Nicole Immorlica , Jieming Mao , Aleksandrs Slivkins , Zhiwei Steven Wu

A Bayesian game is said to have nested information if the players are ordered, and each player knows the types of all players that follow her in that order. We prove that all multiplayer Bayesian games with finite actions spaces, bounded…

Probability · Mathematics 2025-02-24 Royi Jacobovic , John Yehuda Levy , Eilon Solan

We study a Bayesian coordination game where agents receive private information on the game's payoff structure. In addition, agents receive private signals on each other's private information. We show that once agents possess these different…

Economics · Quantitative Finance 2015-01-06 Dominik Grafenhofer , Wolgang Kuhle

We study an information design problem with two informed senders and a receiver in which, in contrast to traditional Bayesian persuasion settings, senders do not have commitment power. In our setting, a trusted mediator/platform gathers…

Computer Science and Game Theory · Computer Science 2022-11-30 Itai Arieli , Ivan Geffner , Moshe Tennenholtz