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Related papers: Signaling with Private Monitoring

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We study a dynamic stopping game between a principal and an agent. The agent is privately informed about his type. The principal learns about the agent's type from a noisy performance measure, which can be manipulated by the agent via a…

Theoretical Economics · Economics 2021-08-03 Mehmet Ekmekci , Leandro Gorno , Lucas Maestri , Jian Sun , Dong Wei

We study reputation formation where a long-run player repeatedly observes private signals and takes actions. Short-run players observe the long-run player's past actions but not her past signals. The long-run player can thus develop a…

Theoretical Economics · Economics 2025-07-22 Daniel Luo , Alexander Wolitzky

We study learning by privately informed forward-looking agents in a simple repeated-action setting of social learning. Under a symmetric signal structure, forward-looking agents behave myopically for any degrees of patience. Myopic…

Theoretical Economics · Economics 2023-01-09 Dimitri Migrow

We study a repeated game with payoff externalities and observable actions where two players receive information over time about an underlying payoff-relevant state, and strategically coordinate their actions. Players learn about the true…

Theoretical Economics · Economics 2018-09-05 Pathikrit Basu , Kalyan Chatterjee , Tetsuya Hoshino , Omer Tamuz

We consider a dynamic game with asymmetric information where each player observes privately a noisy version of a (hidden) state of the world V, resulting in dependent private observations. We study structured perfect Bayesian equilibria…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Nasimeh Heydaribeni , Achilleas Anastasopoulos

Finite-player dynamic games with dispersed private information are difficult because actions both move payoffs and reshape what opponents learn, generating hierarchies of beliefs about beliefs. This paper provides a recursive representation…

Optimization and Control · Mathematics 2026-05-21 Sam Babichenko

This paper studies repeated games where two players play multiple duopolistic games simultaneously (multimarket contact). A key assumption is that each player receives a noisy and private signal about the other's actions (private monitoring…

Computer Science and Game Theory · Computer Science 2019-11-26 Atsushi Iwasaki , Tadashi Sekiguchi , Shun Yamamoto , Makoto Yokoo

We analyze in this paper finite horizon hierarchical signaling games between (information provider) senders and (decision maker) receivers in a dynamic environment. The underlying information evolves in time while sender and receiver…

Computer Science and Game Theory · Computer Science 2019-07-24 Muhammed O. Sayin , Emrah Akyol , Tamer Basar

I study a repeated game in which a patient player (e.g., a seller) wants to win the trust of some myopic opponents (e.g., buyers) but can strictly benefit from betraying them. Her benefit from betrayal is strictly positive and is her…

Theoretical Economics · Economics 2020-06-16 Harry Pei

We consider a broad class of stochastic imitation dynamics over networks, encompassing several well known learning models such as the replicator dynamics. In the considered models, players have no global information about the game…

Systems and Control · Computer Science 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

Players (people, firms, states, etc.) have privacy concerns that may affect their choice of actions in strategic settings. We use a variant of signaling games to model this effect and study its relation to pooling behavior,…

Computer Science and Game Theory · Computer Science 2017-05-18 Ronen Gradwohl , Rann Smorodinsky

We study infinitely repeated games in settings of imperfect monitoring. We first prove a family of theorems that show that when the signals observed by the players satisfy a condition known as $(\epsilon, \gamma)$-differential privacy, that…

Computer Science and Game Theory · Computer Science 2014-10-09 Mallesh M. Pai , Aaron Roth , Jonathan Ullman

Traditional economic models typically treat private information, or signals, as generated from some underlying state. Recent work has explicated alternative models, where signals correspond to interpretations of available information. We…

Computer Science and Game Theory · Computer Science 2012-02-20 Michael P. Wellman , Lu Hong , Scott E. Page

We study a dynamic model of Bayesian persuasion in sequential decision-making settings. An informed principal observes an external parameter of the world and advises an uninformed agent about actions to take over time. The agent takes…

Computer Science and Game Theory · Computer Science 2022-05-25 Jiarui Gan , Rupak Majumdar , Goran Radanovic , Adish Singla

Private signals model noisy information about an unknown state. Although these signals are called "private," they may still carry information about each other. Our paper introduces the concept of private private signals, which contain…

Theoretical Economics · Economics 2026-05-06 Kevin He , Fedor Sandomirskiy , Omer Tamuz

Information asymmetry in games enables players with the information advantage to manipulate others' beliefs by strategically revealing information to other players. This work considers a double-sided information asymmetry in a Bayesian…

Computer Science and Game Theory · Computer Science 2023-08-29 Tao Li , Quanyan Zhu

The design of a statistical signal processing privacy problem is studied where the private data is assumed to be observable. In this work, an agent observes useful data $Y$, which is correlated with private data $X$, and wants to disclose…

Information Theory · Computer Science 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

I prove that it is irrational for agents with even slightly private preferences to condition their strategy on private information that is payoff-irrelevant to them, contrary to powerful techniques for analyzing communication and repeated…

Theoretical Economics · Economics 2026-05-29 Alistair Barton

We study a Bayesian coordination game where agents receive private information on the game's payoff structure. In addition, agents receive private signals on each other's private information. We show that once agents possess these different…

Economics · Quantitative Finance 2015-01-06 Dominik Grafenhofer , Wolgang Kuhle

I study a social learning model in which the object to learn is a strategic player's endogenous actions rather than an exogenous state. A patient seller faces a sequence of buyers and decides whether to build a reputation for supplying high…

Theoretical Economics · Economics 2020-11-03 Harry Pei
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