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This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

多智能体系统 · 计算机科学 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

Zero-sum Linear Quadratic (LQ) games are fundamental in optimal control and can be used (i)~as a dynamic game formulation for risk-sensitive or robust control and (ii)~as a benchmark setting for multi-agent reinforcement learning with two…

系统与控制 · 电气工程与系统科学 2025-08-19 Jiduan Wu , Anas Barakat , Ilyas Fatkhullin , Niao He

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…

计算机科学与博弈论 · 计算机科学 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

We consider dynamic games defined over an infinite horizon, characterized by linear, discrete-time dynamics and quadratic cost functionals. Considering such linear-quadratic (LQ) dynamic games, we focus on their solutions in terms Nash…

最优化与控制 · 数学 2024-12-02 A. Monti , B. Nortmann , T. Mylvaganam , M. Sassano

This paper investigates closed-loop Nash equilibria for discrete-time linear-quadratic (LQ) stochastic nonzero-sum difference games with random coefficients. Unlike existing works, we consider randomness in both state dynamics and cost…

最优化与控制 · 数学 2025-07-23 Qingxin Meng , Yiwei Wu

In this paper, we study a class of linear-quadratic (LQ) mean field games of controls with common noises and their corresponding $N$-player games. The theory of mean field game of controls considers a class of mean field games where the…

最优化与控制 · 数学 2022-06-13 Min Li , Chenchen Mou , Zhen Wu , Chao Zhou

One of the reasons why stochastic dynamic games with an underlying dynamic system are challenging is since strategic players have access to enormous amount of information which leads to the use of extremely complex strategies at…

计算机科学与博弈论 · 计算机科学 2024-07-18 Dengwang Tang , Vijay Subramanian , Demosthenis Teneketzis

We study Bayesian coordination games where agents receive noisy private information over the game's payoff structure, and over each others' actions. If private information over actions is precise, we find that agents can coordinate on…

综合经济学 · 经济学 2019-04-25 Dominik Grafenhofer , Wolfgang Kuhle

We study a class of deterministic finite-horizon two-player nonzero-sum differential games where players are endowed with different kinds of controls. We assume that Player 1 uses piecewise-continuous controls, while Player 2 uses impulse…

最优化与控制 · 数学 2025-10-21 Utsav Sadana , Puduru Viswanadha Reddy , Georges Zaccour

Our paper addresses characterizing conditions for a linear quadratic (LQ) game to be a potential game. The desired properties of potential games in finite action settings, such as convergence of learning dynamics to Nash equilibria, and the…

最优化与控制 · 数学 2025-11-05 Sara Hosseinirad , Giulio Salizzoni , Alireza Alian Porzani , Maryam Kamgarpour

This paper investigates how an autonomous agent can transmit information through its motion in an adversarial setting. We consider scenarios where an agent must reach its goal while deceiving an intelligent observer about its destination.…

系统与控制 · 电气工程与系统科学 2025-06-17 Violetta Rostobaya , James Berneburg , Yue Guan , Michael Dorothy , Daigo Shishika

This paper focuses on finite-player incomplete information games where players may hold mutually inconsistent beliefs without a common prior. We introduce absolute continuity of beliefs, extending the classical notion of absolutely…

理论经济学 · 经济学 2025-12-02 Denis Kojevnikov , Kyungchul Song

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…

计算机科学与博弈论 · 计算机科学 2014-07-22 Shaddin Dughmi

We propose a distributed algorithm to compute an equilibrium in aggregate games where players communicate over a fixed undirected network. Our algorithm exploits correlated perturbation to obfuscate information shared over the network. We…

最优化与控制 · 数学 2019-12-16 Shripad Gade , Anna Winnicki , Subhonmesh Bose

This paper considers a continuous time Kyle-Back model which is a game problem between an insider and a market marker. The existing literature typically focuses on the existence of equilibrium by using the PDE approach, which requires…

最优化与控制 · 数学 2025-06-17 Bixing Qiao , Jianfeng Zhang

We study strategic interaction in linear-quadratic network games where agents act on subjective, misspecified models of their environment. Agents observe noisy aggregate signals generated by local network externalities and interpret them…

计算机科学与博弈论 · 计算机科学 2026-03-19 Quanyan Zhu , Zhengye Han

Bayesian rationality in strategic games presumes that it is possible to translate strategic uncertainty into imperfect information. Correlated equilibrium is guided by the idea that players are Bayes rational, have a common prior, and…

计算机科学与博弈论 · 计算机科学 2016-02-02 Gabriel Frahm

This paper is concerned with a linear-quadratic non-zero sum differential game with asymmetric delayed information. To be specific, two players exist time delays simultaneously which are different, leading the dynamical system being an…

最优化与控制 · 数学 2025-10-27 Yuxin Ye , Jingtao Shi

We study dynamic finite-player and mean-field stochastic games within the framework of Markov perfect equilibria (MPE). Our focus is on discrete time and space structures without monotonicity. Unlike their continuous-time analogues,…

最优化与控制 · 数学 2025-09-29 Felix Höfer , H. Mete Soner , Atilla Yılmaz

We introduce Boolean Observation Games, a subclass of multi-player finite strategic games with incomplete information and qualitative objectives. In Boolean observation games, each player is associated with a finite set of propositional…

计算机科学与博弈论 · 计算机科学 2024-02-09 Hans van Ditmarsch , Sunil Simon