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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

An uninformed sender publicly commits to an informative experiment about an uncertain state, privately observes its outcome, and sends a cheap-talk message to a receiver. We provide an algorithm valid for arbitrary state-dependent…

Theoretical Economics · Economics 2024-05-10 Qianjun Lyu , Wing Suen

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

A sender sells an object of unknown quality to a receiver who pays his expected value for it. Sender and receiver might hold different priors over quality. The sender commits to a monotonic categorization of quality. We characterize the…

Theoretical Economics · Economics 2021-03-25 Paula Onuchic , Debraj Ray

A quantum game can be viewed as a state preparation in which the final output state results from the competing preferences of the players over the set of possible output states that can be produced. It is therefore possible to view state…

Quantum Physics · Physics 2020-03-13 Simon J. D. Phoenix , Faisal Shah Khan

I propose a cheap-talk model in which the sender can use private messages and only cares about persuading a subset of her audience. For example, a candidate only needs to persuade a majority of the electorate in order to win an election. I…

Theoretical Economics · Economics 2019-03-04 Bruno Salcedo

We consider the general model of zero-sum repeated games (or stochastic games with signals), and assume that one of the players is fully informed and controls the transitions of the state variable. We prove the existence of the uniform…

Optimization and Control · Mathematics 2009-04-20 Jérôme Renault

In many multiagent environments, a designer has some, but limited control over the game being played. In this paper, we formalize this by considering incompletely specified games, in which some entries of the payoff matrices can be chosen…

Computer Science and Game Theory · Computer Science 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

In statistical decision theory involving a single decision-maker, an information structure is said to be better than another one if for any cost function involving a hidden state variable and an action variable which is restricted to be…

Optimization and Control · Mathematics 2021-01-07 Ian Hogeboom-Burr , Serdar Yüksel

We study a full implementation problem with a state unknown to the designer but known to agents, where agents have uncertain evidence privately drawn from state-dependent distributions. Stochastic evidence enables ``perfect deceptions,''…

Theoretical Economics · Economics 2025-08-07 Soumen Banerjee , Yi-Chun Chen

Deception plays a critical role in many interactions in communication and network security. Game-theoretic models called "cheap talk signaling games" capture the dynamic and information asymmetric nature of deceptive interactions. But…

Cryptography and Security · Computer Science 2017-10-17 Jeffrey Pawlick , Quanyan Zhu

I study dynamic contracting where Sender privately observes a Markovian state and seeks to motivate Receiver, who acts. Sender provides incentives in two ways: payments, which alter payoffs ex-post, and (Bayesian) persuasion, which shapes…

Theoretical Economics · Economics 2026-05-22 Daniel Luo

This paper focuses on finite-player incomplete information games where players may hold mutually inconsistent beliefs without a common prior. We introduce absolute continuity of beliefs, extending the classical notion of absolutely…

Theoretical Economics · Economics 2025-12-02 Denis Kojevnikov , Kyungchul Song

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

A sender seeks to persuade a receiver by presenting evidence obtained through a sequence of private experiments. The sender has complete flexibility in his choice of experiments, contingent on the private experimentation history. The sender…

Theoretical Economics · Economics 2023-05-09 Yichuan Lou

We study nonzero-sum hypothesis testing games that arise in the context of adversarial classification, in both the Bayesian as well as the Neyman-Pearson frameworks. We first show that these games admit mixed strategy Nash equilibria, and…

Computer Science and Game Theory · Computer Science 2019-10-01 Sarath Yasodharan , Patrick Loiseau

We provide, to the best of our knowledge, the first computational study of extensive-form adversarial team games. These games are sequential, zero-sum games in which a team of players, sharing the same utility function, faces an adversary.…

Artificial Intelligence · Computer Science 2017-11-21 Andrea Celli , Nicola Gatti

An equilibrium is communication-proof if it is unaffected by new opportunities to communicate and renegotiate. We characterize the set of equilibria of coordination games with pre-play communication in which players have private preferences…

Theoretical Economics · Economics 2023-11-14 Yuval Heller , Christoph Kuzmics

We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information. In our Bayesian set-up, the drift of the underlying diffusion process is unknown to one player…

Probability · Mathematics 2020-07-15 Tiziano De Angelis , Erik Ekström , Kristoffer Glover

We consider the classic veto bargaining model but allow the agenda setter to engage in persuasion to convince the veto player to approve her proposal. We fully characterize the optimal proposal and experiment when Vetoer has quadratic loss,…

Theoretical Economics · Economics 2023-10-23 Jenny S Kim , Kyungmin Kim , Richard Van Weelden
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