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One practical requirement in solving dynamic games is to ensure that the players play well from any decision point onward. To satisfy this requirement, existing efforts focus on equilibrium refinement, but the scalability and applicability…

Multiagent Systems · Computer Science 2021-08-24 Weizhe Chen , Zihan Zhou , Yi Wu , Fei Fang

Automated decision-making tools increasingly assess individuals to determine if they qualify for high-stakes opportunities. A recent line of research investigates how strategic agents may respond to such scoring tools to receive favorable…

Machine Learning · Computer Science 2021-10-28 Keegan Harris , Hoda Heidari , Zhiwei Steven Wu

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 a Markov…

Multiagent Systems · Computer Science 2021-06-15 Tao Zhang , Quanyan Zhu

This paper considers an infinitely repeated three-player Bayesian game with lack of information on two sides, in which an informed player plays two zero-sum games simultaneously at each stage against two uninformed players. This is a…

Theoretical Economics · Economics 2023-03-10 Lucas Pahl

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

We study Nash equilibrium learning in partially observable Markov games (POMGs), a multi-agent reinforcement learning framework in which agents cannot fully observe the underlying state. Prior work in this setting relies on centralization…

Computer Science and Game Theory · Computer Science 2026-05-08 Philip Jordan , Maryam Kamgarpour

We study Bayesian learning in episodic, finite-horizon zero-sum Markov games with unknown transition and reward models. We investigate a posterior algorithm in which each player maintains a Bayesian posterior over the game model,…

Machine Learning · Computer Science 2026-03-24 Chang-Wei Yueh , Andy Zhao , Ashutosh Nayyar , Rahul Jain

Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD…

Quantum Physics · Physics 2017-03-10 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

Finite-horizon probabilistic multiagent concurrent game systems, also known as finite multiplayer stochastic games, are a well-studied model in computer science due to their ability to represent a wide range of real-world scenarios…

Computer Science and Game Theory · Computer Science 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

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 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

In a zero-sum stochastic game with signals, at each stage, two adversary players take decisions and receive a stage payoff determined by these decisions and a variable called state. The state follows a Markov chain, that is controlled by…

Optimization and Control · Mathematics 2021-12-02 Bruno Ziliotto

Empirically, many strategic settings are characterized by stable outcomes in which players' decisions are publicly observed, yet no player takes the opportunity to deviate. To analyze such situations in the presence of incomplete…

Econometrics · Economics 2024-04-12 Paul S. Koh

Two-player zero-sum repeated games are well understood. Computing the value of such a game is straightforward. Additionally, if the payoffs are dependent on a random state of the game known to one, both, or neither of the players, the…

Information Theory · Computer Science 2009-11-05 Paul Cuff

In this paper, we present a model of a game among teams. Each team consists of a homogeneous population of agents. Agents within a team are cooperative while the teams compete with other teams. The dynamics and the costs are coupled through…

Computer Science and Game Theory · Computer Science 2023-10-20 Jayakumar Subramanian , Akshat Kumar , Aditya Mahajan

This paper introduces an explicit algorithm for computing perfect public equilibrium (PPE) payoffs in repeated games with imperfect public monitoring, public randomization, and discounting. The method adapts the established framework by…

Theoretical Economics · Economics 2024-11-05 Jasmina Karabegovic

There has been a recent surge of interest in the role of information in strategic interactions. Much of this work seeks to understand how the realized equilibrium of a game is influenced by uncertainty in the environment and the information…

Computer Science and Game Theory · Computer Science 2014-07-22 Shaddin Dughmi

We study a generic family of two-player continuous-time nonzero-sum stopping games modeling a war of attrition with symmetric information and stochastic payoffs that depend on an homogeneous linear diffusion. We first show that any…

Optimization and Control · Mathematics 2022-10-18 Jean-Paul Décamps , Fabien Gensbittel , Thomas Mariotti

We are interested in the convergence of the value of n-stage games as n goes to infinity and the existence of the uniform value in stochastic games with a general set of states and finite sets of actions where the transition is commutative.…

Optimization and Control · Mathematics 2016-04-22 Xavier Venel

We present a new approach to solving games with a countably or uncountably infinite number of players. Such games are often used to model multiagent systems with a large number of agents. The latter are frequently encountered in economics,…

Computer Science and Game Theory · Computer Science 2025-01-17 Carlos Martin , Tuomas Sandholm