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We consider a two-player zero-sum stochastic differential game in which one of the players has a private information on the game. Both players observe each other, so that the non-informed player can try to guess his missing information. Our…

概率论 · 数学 2011-06-15 Christine Grün

Decision rules offer a rich and tractable framework for solving certain classes of multistage adaptive optimization problems. Recent literature has shown the promise of using linear and nonlinear decision rules in which wait-and-see…

最优化与控制 · 数学 2022-11-24 Said Rahal , Dimitri J. Papageorgiou , Zukui Li

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

最优化与控制 · 数学 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

最优化与控制 · 数学 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

Distributed optimization has found widespread applications in smart grids, optimal control, and machine learning. This paper studies distributed consensus optimization. We extend the Augmented Lagrangian-based Alternating Direction Inexact…

最优化与控制 · 数学 2026-05-21 Xu Du , Jingzhe Wang , Karl H. Johansson , Apostolos I. Rikos

We consider a real-time communication system with noisy feedback consisting of a Markov source, a forward and a backward discrete memoryless channels, and a receiver with finite memory. The objective is to design an optimal communication…

信息论 · 计算机科学 2007-09-25 Aditya Mahajan , Demosthenis Teneketzis

This paper is concerned with non-zero sum differential games of mean-field stochastic differential equations with partial information and convex control domain. First, applying the classical convex variations, we obtain stochastic maximum…

最优化与控制 · 数学 2016-01-11 Hua Xiao , Shuaiqi Zhang

We propose a method, based on empirical game theory, for a robot operating as part of a team to choose its role within the team without explicitly communicating with team members, by leveraging its knowledge about the team structure. To do…

多智能体系统 · 计算机科学 2021-10-01 Fengjun Yang , Negar Mehr , Mac Schwager

An important challenge in non-cooperative game theory is coordinating on a single (approximate) equilibrium from many possibilities - a challenge that becomes even more complex when players hold private information. Recommender mechanisms…

计算机科学与博弈论 · 计算机科学 2025-05-30 Bengisu Guresti , Chongjie Zhang , Yevgeniy Vorobeychik

Despite the many recent practical and theoretical breakthroughs in computational game theory, equilibrium finding in extensive-form team games remains a significant challenge. While NP-hard in the worst case, there are provably efficient…

计算机科学与博弈论 · 计算机科学 2022-01-19 Brian Hu Zhang , Tuomas Sandholm

In this paper, we demonstrate the existence of team-optimal strategies for static teams under observation-sharing information structures. Assuming that agents can access shared observations, we begin by converting the team problem into an…

系统与控制 · 电气工程与系统科学 2023-09-15 Naci Saldi

This paper considers power distribution networks with distributed energy resources and designs an incentive-based algorithm that allows the network operator and customers to pursue given operational and economic objectives while…

最优化与控制 · 数学 2017-08-14 Xinyang Zhou , Zhiyuan Liu , Emiliano Dall'Anese , Lijun Chen

The long term aim is to use modern dynamical systems theory to derive discretisations of noisy, dissipative partial differential equations. As a first step we here consider a small domain and apply stochastic centre manifold techniques to…

动力系统 · 数学 2025-10-20 A. J. Roberts

This paper presents a potential game approach for distributed cooperative selection of informative sensors, when the goal is to maximize the mutual information between the measurement variables and the quantities of interest. It is proved…

系统与控制 · 计算机科学 2014-03-05 Han-Lim Choi , Su-Jin Lee

Although various distributed machine learning schemes have been proposed recently for pure linear models and fully nonparametric models, little attention has been paid on distributed optimization for semi-paramemetric models with…

机器学习 · 统计学 2019-11-05 Shaogao Lv , Heng Lian

This paper presents a novel approach to numerically solve stochastic differential games for nonlinear systems. The proposed approach relies on the nonlinear Feynman-Kac theorem that establishes a connection between parabolic deterministic…

最优化与控制 · 数学 2019-06-13 Ziyi Wang , Keuntaek Lee , Marcus A. Pereira , Ioannis Exarchos , Evangelos A. Theodorou

This paper studies two-player zero-sum stochastic Bayesian games where each player has its own dynamic state that is unknown to the other player. Using typical techniques, we provide the recursive formulas and sufficient statistics in both…

计算机科学与博弈论 · 计算机科学 2021-05-05 Nabiha Nasir Orpa , Lichun Li

In this paper, we are interested in systems with multiple agents that wish to collaborate in order to accomplish a common task while a) agents have different information (decentralized information) and b) agents do not know the model of the…

最优化与控制 · 数学 2020-12-04 Jalal Arabneydi , Aditya Mahajan

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

This work introduces an online Bayesian game-theoretic method for behavior identification in multi-agent dynamical systems. By casting Hamilton-Jacobi-Bellman optimality conditions as linear-in-parameter residuals, the method enables fast…

系统与控制 · 电气工程与系统科学 2026-01-09 Francesco Bianchin , Robert Lefringhausen , Sandra Hirche