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Related papers: Persuasion with Non-Linear Preferences

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We consider general Bayesian persuasion problems where the receiver's utility is single-peaked in a one-dimensional action. We show that a signal that pools at most two states in each realization is always optimal, and that such pairwise…

Theoretical Economics · Economics 2023-11-07 Anton Kolotilin , Roberto Corrao , Alexander Wolitzky

We study monotone persuasion in the linear case, where posterior distributions over states are summarized by their mean. We solve the two leading cases where optimal unrestricted signals can be nonmonotone. First, if the objective is…

Theoretical Economics · Economics 2024-12-23 Anton Kolotilin , Hongyi Li , Andriy Zapechelnyuk

We study a Bayesian persuasion setting in which the receiver is trying to match the (binary) state of the world. The sender's utility is partially aligned with the receiver's, in that conditioned on the receiver's action, the sender derives…

Computer Science and Game Theory · Computer Science 2021-10-27 Shih-Tang Su , David Kempe , Vijay G. Subramanian

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

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

A privately-informed sender can commit to any disclosure policy towards a receiver. We show that full disclosure is optimal under a sufficient condition with some desirable properties. First, it speaks directly to the utility functions of…

Theoretical Economics · Economics 2023-02-15 Emiliano Catonini , Sergey Stepanov

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

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 present a unified duality approach to Bayesian persuasion. The optimal dual variable, interpreted as a price function on the state space, is shown to be a supergradient of the concave closure of the objective function at the prior…

Theoretical Economics · Economics 2024-06-05 Piotr Dworczak , Anton Kolotilin

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

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

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 study Bayesian Persuasion with multiple senders who have access to conditionally independent experiments (and possibly others). Senders have zero-sum preferences over information revealed. We characterize when any set of states can be…

Theoretical Economics · Economics 2022-06-14 Dilip Ravindran , Zhihan Cui

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

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 persuasion problem in which a sender designs an information structure to induce a non-Bayesian receiver to take a particular action. The receiver, who is privately informed about his preferences, is a wishful thinker: he is…

Theoretical Economics · Economics 2023-12-01 Victor Augias , Daniel M. A. Barreto

We investigate a two-period Bayesian persuasion game, where the receiver faces a decision, akin to a one-armed bandit problem: to undertake an action, gaining noisy information and a corresponding positive or negative payoff, or to refrain.…

Optimization and Control · Mathematics 2024-01-11 Massimo DAntoni , Ehud Lehrer , Avraham Tabbach , Eilon Solan

We study information disclosure in competitive markets with adverse selection. Sellers privately observe product quality, with higher quality entailing higher production costs, while buyers trade at the market-clearing price after observing…

Theoretical Economics · Economics 2025-10-03 Andrea Di Giovan Paolo , Jose Higueras

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

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
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