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Recent price-of-anarchy analyses of games of complete information suggest that coarse correlated equilibria, which characterize outcomes resulting from no-regret learning dynamics, have near-optimal welfare. This work provides two main…

计算机科学与博弈论 · 计算机科学 2015-11-23 Jason Hartline , Vasilis Syrgkanis , Eva Tardos

This paper investigates equilibrium computation and the price of anarchy for Bayesian games, which are the fundamental models of games with incomplete information. In normal-form games with complete information, it is known that efficiently…

计算机科学与博弈论 · 计算机科学 2025-07-01 Kaito Fujii

We propose the Subgame Credible Nash Equilibrium (SCNE), a refinement of subgame perfect Nash equilibrium (SPNE) for multi-stage games. SCNE retains the internal credibility requirement of SPNE -- equilibrium behavior in every subgame --…

理论经济学 · 经济学 2025-11-04 Mehmet Mars Seven

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

Sequential equilibrium is the conventional approach for analyzing multi-stage games of incomplete information. It relies on mutual consistency of beliefs. To relax mutual consistency, I theoretically and experimentally explore the dynamic…

理论经济学 · 经济学 2023-11-06 Po-Hsuan Lin

Dynamic games provide a fundamental framework for multi-agent decision-making over time, yet computing feedback Nash equilibria (FNEs) in infinite-horizon discrete-time linear-quadratic (LQ) settings remains computationally challenging.…

系统与控制 · 电气工程与系统科学 2026-03-11 Shengyuan Huang , Xiaoguang Yang , Yifen Mu , Wenjun Mei

Risk-aversion and bounded rationality are two key characteristics of human decision-making. Risk-averse quantal-response equilibrium (RQE) is a solution concept that incorporates these features, providing a more realistic depiction of human…

计算机科学与博弈论 · 计算机科学 2025-08-13 Yizhou Zhang , Eric Mazumdar

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…

多智能体系统 · 计算机科学 2021-02-16 Tao Zhang , Quanyan Zhu

In many settings where multiple agents interact, the optimal choices for each agent depend heavily on the choices of the others. These coupled interactions are well-described by a general-sum differential game, in which players have…

机器人学 · 计算机科学 2020-05-07 Lasse Peters , David Fridovich-Keil , Claire J. Tomlin , Zachary N. Sunberg

The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

计算机科学与博弈论 · 计算机科学 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

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…

计算机科学与博弈论 · 计算机科学 2023-08-29 Tao Li , Quanyan Zhu

Subtraction games have a rich literature as normal-play combinatorial games (e.g., Berlekamp, Conway, and Guy, 1982). Recently, the theory has been extended to zero-sum scoring play (Cohensius et al. 2019). Here, we take the approach of…

组合数学 · 数学 2026-01-22 Anjali Bhagat , Tanmay Kulkarni , Urban Larsson , Divya Murali

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…

概率论 · 数学 2025-02-24 Royi Jacobovic , John Yehuda Levy , Eilon Solan

Bayesian regression games are a special class of two-player general-sum Bayesian games in which the learner is partially informed about the adversary's objective through a Bayesian prior. This formulation captures the uncertainty in regard…

机器学习 · 计算机科学 2021-10-04 Wenshuo Guo , Michael I. Jordan , Tianyi Lin

The classical mean-variance portfolio selection problem induces time-inconsistent (precommited) strategies (see Zhou and Li (2000)). To overcome this time-inconsistency, Basak and Chabakauri (2010) introduce the game theoretical approach…

数理金融 · 定量金融 2023-05-26 Mengge Li , Shuaijie Qian , Chao Zhou

An imperfect-information game is a type of game with asymmetric information. It is more common in life than perfect-information game. Artificial intelligence (AI) in imperfect-information games, such like poker, has made considerable…

人工智能 · 计算机科学 2024-05-29 Qibin Zhou , Dongdong Bai , Junge Zhang , Fuqing Duan , Kaiqi Huang

A class of nonzero-sum stochastic dynamic games with imperfect information structure is investigated. The game involves an arbitrary number of players, modeled as homogeneous Markov decision processes, aiming to find a sequential Nash…

最优化与控制 · 数学 2019-12-17 Jalal Arabneydi , Amir G. Aghdam

Many practical machine learning tasks can be framed as Structured prediction problems, where several output variables are predicted and considered interdependent. Recent theoretical advances in structured prediction have focused on…

机器学习 · 计算机科学 2020-12-22 Théophile Cantelobre , Benjamin Guedj , María Pérez-Ortiz , John Shawe-Taylor

In this paper, we consider the social optimal problem of discrete time finite state space mean field games (referred to as finite mean field games [1]). Unlike the individual optimization of their own cost function in competitive models, in…

最优化与控制 · 数学 2024-08-09 Zijia Niu , Sanjin Huang , Lu Ren , Wang Yao , Xiao Zhang

Static reduction of information structures (ISs) is a method that is commonly adopted in stochastic control, team theory, and game theory. One approach entails change of measure arguments, which has been crucial for stochastic analysis and…

最优化与控制 · 数学 2023-07-13 Sina Sanjari , Tamer Başar , Serdar Yüksel