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We consider the problem of dynamic information design with one sender and one receiver where the sender observers a private state of the system and takes an action to send a signal based on its observation to a receiver. Based on this…

Theoretical Economics · Economics 2020-05-18 Deepanshu Vasal

We consider a dynamic version of sender-receiver games, where the sequence of states follows an irreducible Markov chain observed by the sender. Under mild assumptions, we provide a simple characterization of the limit set of equilibrium…

Probability · Mathematics 2012-04-03 Jerome Renault , Eilon Solan , Nicolas Vieille

We consider finite-horizon and infinite-horizon versions of a dynamic game with $N$ selfish players who observe their types privately and take actions that are publicly observed. Players' types evolve as conditionally independent Markov…

Optimization and Control · Mathematics 2018-03-20 Deepanshu Vasal , Abhinav Sinha , Achilleas Anastasopoulos

We consider a finite horizon repeated game with $N$ selfish players who observe their types privately and take actions, which are publicly observed. Their actions and types jointly determine their instantaneous rewards. In each period,…

Computer Science and Game Theory · Computer Science 2019-05-17 Deepanshu Vasal

A sender commits to an experiment to persuade a receiver. Accounting for the sender's experiment-choice incentives, and not presupposing a receiver tie-breaking rule when indifferent, we characterize when the sender's equilibrium payoff is…

Theoretical Economics · Economics 2024-02-13 Elliot Lipnowski , Doron Ravid , Denis Shishkin

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

Evidence games study situations where a sender persuades a receiver by selectively disclosing hard evidence about an unknown state of the world. Evidence games often have multiple equilibria. Hart et al. (2017) propose to focus on…

Theoretical Economics · Economics 2022-09-20 Shaofei Jiang

We study an information-structure design problem (a.k.a. persuasion) with a single sender and multiple receivers with actions of a priori unknown types, independently drawn from action-specific marginal distributions. As in the standard…

Artificial Intelligence · Computer Science 2019-08-05 Andrea Celli , Stefano Coniglio , Nicola Gatti

We consider a sender-receiver game with an outside option for the sender. After the cheap talk phase, the receiver makes a proposal to the sender, which the latter can reject. We study situations in which the sender's approval is crucial to…

Optimization and Control · Mathematics 2020-01-22 Françoise Forges , Jérôme Renault

This paper studies a multi-player, general-sum stochastic game characterized by a dual-stage temporal structure per period. The agents face uncertainty regarding the time-evolving state that is realized at the beginning of each period.…

Computer Science and Game Theory · Computer Science 2023-10-09 Tao Zhang , Quanyan Zhu

In Bayesian persuasion, an informed sender, who observes a state, commits to a randomized signaling scheme that guides a self-interested receiver's actions. Classical models assume the receiver knows the commitment. We, instead, study the…

Computer Science and Game Theory · Computer Science 2025-10-03 Caleb Probine , Mustafa O. Karabag , Ufuk Topcu

In dynamic games with asymmetric information structure, the widely used concept of equilibrium is perfect Bayesian equilibrium (PBE). This is expressed as a strategy and belief pair that simultaneously satisfy sequential rationality and…

Computer Science and Game Theory · Computer Science 2016-09-15 Abhinav Sinha , Achilleas Anastasopoulos

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

Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of the players' "trembles" onto different strategies. These restrictions capture the idea that trembles correspond to deliberate experiments by agents…

Theoretical Economics · Economics 2021-04-13 Drew Fudenberg , Kevin He

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He

We analyze a two-player, nonzero-sum Dynkin game of stopping with incomplete information. We assume that each player observes his own Brownian motion, which is not only independent of the other player's Brownian motion but also not…

Probability · Mathematics 2025-04-16 Georgy Gaitsgori , Richard Groenewald

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

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 study a decentralized matching market in which firms sequentially make offers to potential workers. For each offer, the worker can choose "accept" or "reject," but the decision is irrevocable. The acceptance of an offer guarantees her…

Computer Science and Game Theory · Computer Science 2019-11-19 Yasushi Kawase , Yutaro Yamaguchi , Yu Yokoi

Perfect Bayesian Equilibrium (PBE) is a refinement of the Nash equilibrium for imperfect-information extensive-form games (EFGs) that enforces consistency between the two components of a solution: agents' strategy profile describing their…

Computer Science and Game Theory · Computer Science 2026-02-23 Christine Konicki , Mithun Chakraborty , Michael P. Wellman
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