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We study a repeated information design setting in which the receiver, who is also the decision-maker, updates beliefs in a systematically biased way. More specifically, a distorted posterior in our model can be written as a convex…

Computer Science and Game Theory · Computer Science 2026-05-18 Yuqi Pan , Sadie Zhao , Milind Tambe , Yiling Chen

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

Sequential Bayesian experimental design typically assumes that the number of experiments is fixed before data collection begins. In practical campaigns, however, experimentation may need to terminate early because additional measurements…

Methodology · Statistics 2026-05-29 Chen Cheng , Xun Huan

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 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 study a Bayesian persuasion setting with binary actions (adopt and reject) for Receiver. We examine the following question - how well can Sender perform, in terms of persuading Receiver to adopt, when ignorant of Receiver's utility? We…

Computer Science and Game Theory · Computer Science 2021-05-31 Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi

We consider the information design problem in spatial resource competition settings. Agents gather at a location deciding whether to move to another location for possibly higher level of resources, and the utility each agent gets by moving…

Computer Science and Game Theory · Computer Science 2019-09-30 Pu Yang , Krishnamurthy Iyer , Peter Frazier

When users lack specific knowledge of various system parameters, their uncertainty may lead them to make undesirable deviations in their decision making. To alleviate this, an informed system operator may elect to signal information to…

Computer Science and Game Theory · Computer Science 2023-03-31 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

In this paper we investigate the potential for persuasion arising from the quantum indeterminacy of a decision-maker's beliefs, a feature that has been proposed as a formal expression of well-known cognitive limitations. We focus on a…

Physics and Society · Physics 2018-05-25 Vladimir I. Danilov , Ariane Lambert-Mogiliansky

We address the fundamental problem of selection under uncertainty by modeling it from the perspective of Bayesian persuasion. In our model, a decision maker with imperfect information always selects the option with the highest expected…

Computer Science and Game Theory · Computer Science 2024-10-16 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

Incentives in experimental design are often misaligned: experimenters design and finance experiments to seek regulatory approval, while regulators seek to maximize social-welfare. We propose a framework to resolve this conflict, wherein…

Econometrics · Economics 2026-05-19 Karun Adusumilli , Abhi Vemulapati

We consider the multi-sender persuasion problem: multiple players with informational advantage signal to convince a single self-interested actor to take certain actions. This problem generalizes the seminal Bayesian Persuasion framework and…

Artificial Intelligence · Computer Science 2024-06-21 Safwan Hossain , Tonghan Wang , Tao Lin , Yiling Chen , David C. Parkes , Haifeng Xu

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

We explore whether ambiguous communication can be beneficial to the sender in a persuasion problem, when the receiver (and possibly the sender) is ambiguity averse. Our analysis highlights the necessity of using a collection of experiments…

Theoretical Economics · Economics 2026-02-19 Xiaoyu Cheng , Peter Klibanoff , Sujoy Mukerji , Ludovic Renou

We study a model of persuasion in which the receiver is a `conservative Bayesian' whose updated belief is a convex combination of the prior and the correct Bayesian posterior. While in the classic Bayesian case providing information…

Theoretical Economics · Economics 2025-08-14 Yaron Azrieli , Rachana Das

Optimal design of experiments for Bayesian inverse problems has recently gained wide popularity and attracted much attention, especially in the computational science and Bayesian inversion communities. An optimal design maximizes a…

Optimization and Control · Mathematics 2023-05-09 Ahmed Attia , Sven Leyffer , Todd Munson

Interval designs are a class of phase I trial designs for which the decision of dose assignment is determined by comparing the observed toxicity rate at the current dose with a prespecified (toxicity tolerance) interval. If the observed…

Methodology · Statistics 2013-09-20 Suyu Liu , Ying Yuan

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

Sequential change diagnosis is the joint problem of detection and identification of a sudden and unobservable change in the distribution of a random sequence. In this problem, the common probability law of a sequence of i.i.d. random…

Probability · Mathematics 2007-10-29 Savas Dayanik , Christian Goulding , H. Vincent Poor

A designer relies on an experimenter to provide information to a decision maker, but the experimenter has incentives to persuade rather than merely transmit information. Anticipating this motive, the designer can restrict the set of…

Theoretical Economics · Economics 2026-05-05 Francesco Bilotta , Christoph Carnehl , Justus Preusser