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I study repeated communication games between a patient sender and a sequence of receivers. The sender has persistent private information about his psychological cost of lying, and in every period, can privately observe the realization of an…

Theoretical Economics · Economics 2020-06-16 Harry Pei

We consider 2-player stochastic games with perfectly observed actions, and study the limit, as the discount factor goes to one, of the equilibrium payoffs set. In the usual setup where current states are observed by the players, we show…

Optimization and Control · Mathematics 2014-12-11 Jérôme Renault , Bruno Ziliotto

We study multidimensional cheap talk with simple language and aligned preferences. An expert communicates with a decision-maker using a score that aggregates a multidimensional state into a one-dimensional message. Even though the expert…

Theoretical Economics · Economics 2026-02-05 Jacopo Bizzotto , Nathan Hancart

We study a communication game between a sender and a receiver. The sender chooses one of her signals about the state of the world (i.e., anecdotes) and communicates to the receiver who takes an action affecting both players. The sender and…

Theoretical Economics · Economics 2024-07-19 Nika Haghtalab , Nicole Immorlica , Brendan Lucier , Markus Mobius , Divyarthi Mohan

We introduce a model of sender-receiver stopping games, where the state of the world follows an iid--process throughout the game. At each period, the sender observes the current state, and sends a message to the receiver, suggesting either…

Computer Science and Game Theory · Computer Science 2020-04-07 Aditya Aradhye , János Flesch , Mathias Staudigl , Dries Vermeulen

We study a regime change game in which the state and an opposition leader both observe the regime's true strength and may engage in costly communication by manipulating the mean of citizens' private signals. Each citizen then decides…

Theoretical Economics · Economics 2025-11-12 Georgy Lukyanov , Anastasia Makhmudova

Action-dependent channels model scenarios in which transmission takes place in two successive phases. In the first phase, the encoder selects an "action" sequence, with the twofold aim of conveying information to the receiver and of…

Information Theory · Computer Science 2012-07-24 Behzad Ahmadi , Osvaldo Simeone

We study a Bayesian persuasion model with two-dimensional states of the world, in which the sender (she) and receiver (he) have heterogeneous prior beliefs and care about different dimensions. The receiver is a naive agent who has a…

Theoretical Economics · Economics 2024-01-08 Maxim Senkov , Toygar T. Kerman

This paper studies quantum refereed games, which are quantum interactive proof systems with two competing provers: one that tries to convince the verifier to accept and the other that tries to convince the verifier to reject. We prove that…

Computational Complexity · Computer Science 2013-10-16 Gus Gutoski , John Watrous

In an information aggregation game, a set of senders interact with a receiver through a mediator. Each sender observes the state of the world and communicates a message to the mediator, who recommends an action to the receiver based on the…

Theoretical Economics · Economics 2023-07-12 Itai Arieli , Ivan Geffner , Moshe Tennenholtz

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

The spread of disinformation poses a significant threat to societal well-being. We analyze this phenomenon using an evolutionary game theory model of the sender-receiver game, where senders aim to mislead receivers and receivers aim to…

Physics and Society · Physics 2025-05-05 Eduardo V. M. Vieira , José F. Fontanari

We consider games played on finite graphs, whose goal is to obtain a trace belonging to a given set of winning traces. We focus on those states from which Player 1 cannot force a win. We explore and compare several criteria for establishing…

Computer Science and Game Theory · Computer Science 2008-11-12 Marco Faella

We consider two-player normal form games where each player has the same finite strategy set. The payoffs of each player are assumed to be i.i.d. random variables with a continuous distribution. We show that, with high probability, the…

Theoretical Economics · Economics 2020-11-03 Ben Amiet , Andrea Collevecchio , Kais Hamza

I study the optimal provision of information in a long-term relationship between a sender and a receiver. The sender observes a persistent, evolving state and commits to send signals over time to the receiver, who sequentially chooses…

Theoretical Economics · Economics 2023-03-20 Ian Ball

We start with the well-known game below: Two players hold a sheet of paper to their forehead on which a positive integer is written. The numbers are consecutive and each player can only see the number of the other one. In each time step,…

Combinatorics · Mathematics 2013-02-26 Felix Günther , Irina Mustata

We study a disclosure game with a large evidence space. There is an unknown binary state. A sender observes a sequence of binary signals about the state and discloses a left truncation of the sequence to a receiver in order to convince him…

Theoretical Economics · Economics 2020-12-25 Shaofei Jiang

This paper studies information transmission from multiple senders who compete for the attention of a decision maker. Each sender is partially informed about the state of the world and decides how to reveal her information over time to…

Theoretical Economics · Economics 2024-10-15 Jan Knoepfle

When are all positions of a game numbers? We show that two properties are necessary and sufficient. These properties are consequences of that, in a number, it is not an advantage to be the first player. One of these properties implies the…

Combinatorics · Mathematics 2021-01-26 Alda Carvalho , Melissa A. Huggan , Richard J. Nowakowski , Carlos Pereira dos Santos

We study a dynamic sender-receiver game in which the sender observes a state evolving according to a Markov chain but does not observe the receiver's action. Despite the absence of feedback, dynamic interaction partially restores…

Theoretical Economics · Economics 2026-04-30 Atulya Jain