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Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

Machine Learning · Statistics 2026-02-11 Erdong Guo , David Draper

In this paper, we study axiomatic foundations of Bayesian persuasion, where a principal (i.e., sender) delegates the task of choice making after informing a biased agent (i.e., receiver) about the payoff relevant uncertain state (see, e.g.,…

Theoretical Economics · Economics 2025-12-30 Youichiro Higashi , Kemal Ozbek , Norio Takeoka

Consider a persuasion game where both the sender and receiver are ambiguity averse with maxmin expected utility (MEU) preferences and the sender can choose an ambiguous information structure. This paper analyzes the game in an ex-ante…

Theoretical Economics · Economics 2026-02-12 Xiaoyu Cheng

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

A sender first publicly commits to an experiment and then can privately run additional experiments and selectively disclose their outcomes to a receiver. The sender has private information about the maximal number of additional experiments…

Theoretical Economics · Economics 2026-01-12 Yifan Dai , Drew Fudenberg , Harry Pei

Bayes' theorem incorporates distinct types of information through the likelihood and prior. Direct observations of state variables enter the likelihood and modify posterior probabilities through consistent updating. Information in terms of…

Methodology · Statistics 2024-07-19 Duncan K. Foley , Ellis Scharfenaker

We study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

We study delegated Bayesian persuasion: a principal incentivizes an intermediary to design information via outcome-contingent transfers, while the intermediary privately chooses the experiment subject to convex costs. We characterize…

Theoretical Economics · Economics 2026-04-27 Wilfried Youmbi Fotso , Xun Chen

The commitment power of senders distinguishes Bayesian persuasion problems from other games with (strategic) communication. Persuasion games with multiple senders have largely studied simultaneous commitment and signalling settings.…

Theoretical Economics · Economics 2022-02-15 Shih-Tang Su , Vijay G. Subramanian

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

As one of the classic models that describe the belief dynamics over social networks, a non-Bayesian social learning model assumes that members in the network possess accurate signal knowledge through the process of Bayesian inference. In…

Social and Information Networks · Computer Science 2019-05-21 Sannyuya Liu , Zhonghua Yan , Xiufeng Cheng , Liang Zhao

Statistical modeling can involve a tension between assumptions and statistical identification. The law of the observable data may not uniquely determine the value of a target parameter without invoking a key assumption, and, while…

Methodology · Statistics 2022-12-06 Paul Gustafson

We study a Bayesian persuasion problem with externalities. In this model, a principal sends signals to inform multiple agents about the state of the world. Simultaneously, due to the existence of externalities in the agents' utilities, the…

Artificial Intelligence · Computer Science 2024-12-18 Jonathan Shaki , Jiarui Gan , Sarit Kraus

We study a dynamic model of Bayesian persuasion in sequential decision-making settings. An informed principal observes an external parameter of the world and advises an uninformed agent about actions to take over time. The agent takes…

Computer Science and Game Theory · Computer Science 2022-05-25 Jiarui Gan , Rupak Majumdar , Goran Radanovic , Adish Singla

Classical Bayesian persuasion studies how a sender influences receivers through carefully designed signaling policies within a single strategic interaction. In many real-world environments, such interactions are repeated across multiple…

Computer Science and Game Theory · Computer Science 2026-03-24 Ata Poyraz Turna , Asrin Efe Yorulmaz , Tamer Başar

Classical Bayesian persuasion assumes that senders fully understand how receivers form beliefs and make decisions--an assumption that rarely holds when receivers possess private information or exhibit non-Bayesian behavior. In this paper,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Heeseung Bang , Andreas A. Malikopoulos

We develop a framework for the operationalization of models and parameters by combining de Finetti's representation theorem with a conditional form of Sanov's theorem. This synthesis, the tilted de Finetti theorem, shows that conditioning…

Statistics Theory · Mathematics 2025-09-17 Nicholas G. Polson , Daniel Zantedeschi

In this paper, we introduce a two-stage Bayesian persuasion model in which a third-party platform controls the information available to the sender about users' preferences. We aim to characterize the optimal information disclosure policy of…

Computer Science and Game Theory · Computer Science 2024-07-23 Itai Arieli , Omer Madmon , Moshe Tennenholtz

We study the Bayesian model of opinion exchange of fully rational agents arranged on a network. In this model, the agents receive private signals that are indicative of an unkown state of the world. Then, they repeatedly announce the state…

Computational Complexity · Computer Science 2018-09-05 Jan Hązła , Ali Jadbabaie , Elchanan Mossel , M. Amin Rahimian

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