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We generalize the seminal framework of Kyle (1985) to a many-asset setting, bridging the gap between informed-trading theory and modern trading practices. Specifically, we formulate an infinite-dimensional Bayesian trading game in which the…

Mathematical Finance · Quantitative Finance 2026-03-23 Christian Keller , Michael C. Tseng

We formulate and analyze a general class of stochastic dynamic games with asymmetric information arising in dynamic systems. In such games, multiple strategic agents control the system dynamics and have different information about the…

Computer Science and Game Theory · Computer Science 2015-10-26 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

We study a general class of dynamic games with asymmetric information where agents' beliefs are strategy dependent, i.e. signaling occurs. We show that the notion of sufficient information, introduced in the companion paper team, can be…

Multiagent Systems · Computer Science 2018-12-05 Hamidreza Tavafoghi , Yi Ouyang , Demosthenis Teneketzis

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

Theoretical Economics · Economics 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

Machine Learning · Statistics 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

In various economic environments, people observe other people with whom they strategically interact. We can model such information-sharing relations as an information network, and the strategic interactions as a game on the network. When…

Methodology · Statistics 2019-11-27 Nathan Canen , Jacob Schwartz , Kyungchul Song

We revisit the question of modeling incomplete information among 2 Bayesian players, following an ex-ante approach based on values of zero-sum games. $K$ being the finite set of possible parameters, an information structure is defined as a…

Optimization and Control · Mathematics 2019-04-02 Fabien Gensbittel , Marcin Peski , Jérôme Renault

This paper studies the implementation of Bayes correlated equilibria in symmetric Bayesian games with nonatomic players, using direct information structures and obedient strategies. The main results demonstrate full implementation in a…

Theoretical Economics · Economics 2026-02-25 Frederic Koessler , Marco Scarsini , Tristan Tomala

We consider an environment where players need to decide whether to buy a certain product (or adopt a technology) or not. The product is either good or bad, but its true value is unknown to the players. Instead, each player has her own…

General Economics · Economics 2022-07-22 Ilai Bistritz , Nasimeh Heydaribeni , Achilleas Anastasopoulos

A game-theoretic model for analysing the effects of privacy on strategic communication between agents is devised. In the model, a sender wishes to provide an accurate measurement of the state to a receiver while also protecting its private…

Optimization and Control · Mathematics 2016-11-15 Farhad Farokhi , Henrik Sandberg , Iman Shames , Michael Cantoni

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In each step, an information system estimates a belief distribution of the parameter based on the players'…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

A persuasion policy successfully persuades an agent to pick a particular action only if the information is designed in a manner that convinces the agent that it is in their best interest to pick that action. Thus, it is natural to ask, what…

Computer Science and Game Theory · Computer Science 2024-08-27 Reema Deori , Ankur A. Kulkarni

In strategic classification, agents modify their features, at a cost, to ideally obtain a positive classification from the learner's classifier. The typical response of the learner is to carefully modify their classifier to be robust to…

Machine Learning · Computer Science 2024-02-15 Lee Cohen , Saeed Sharifi-Malvajerdi , Kevin Stangl , Ali Vakilian , Juba Ziani

This work considers a novel information design problem and studies how the craft of payoff-relevant environmental signals solely can influence the behaviors of intelligent agents. The agents' strategic interactions are captured by an…

Multiagent Systems · Computer Science 2021-02-16 Tao Zhang , Quanyan Zhu

We consider a two-player dynamic information design problem between a principal and a receiver -- a game is played between the two agents on top of a Markovian system controlled by the receiver's actions, where the principal obtains and…

Computer Science and Game Theory · Computer Science 2024-03-20 Dengwang Tang , Vijay G. Subramanian

Specifying the information structure in strategic environments is difficult for empirical researchers. We develop a test of information ordering that examines whether the true information structure is at least as informative as a proposed…

Econometrics · Economics 2026-01-30 Sukjin Han , Hiroaki Kaido , Lorenzo Magnolfi

This paper examines strategic trading under incomplete information, where firms lack full knowledge of key aspects of their competitors' trading strategies such as target sizes and market impact models. We extend previous work on…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Neil A. Chriss

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 fundamental problem in noncooperative dynamic game theory is the computation of Nash equilibria under different information structures, which specify the information available to each agent during decision-making. Prior work has…

Computer Science and Game Theory · Computer Science 2026-03-20 Janani S K , Kushagra Gupta , Ufuk Topcu , David Fridovich-Keil

We consider long-lived agents who interact repeatedly in a social network. In each period, each agent learns about an unknown state by observing a private signal and her neighbors' actions from the previous period before choosing her own…

Theoretical Economics · Economics 2025-08-19 Florian Brandl