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In this paper, a Nash-type fictitious game framework is introduced to handle a time-inconsistent linear-quadratic optimal control. The Nash-type game in this framework is called fictitious as it is between the decision maker (called real…

Optimization and Control · Mathematics 2021-10-04 Yuan-Hua Ni , Binbin Si , Xinzhen Zhang

Potential games and decentralised partially observable MDPs (Dec-POMDPs) are two commonly used models of multi-agent interaction, for static optimisation and sequential decisionmaking settings, respectively. In this paper we introduce…

Computer Science and Game Theory · Computer Science 2012-02-20 Archie C. Chapman , Simon A. Williamson , Nicholas R. Jennings

Safe reinforcement learning (RL) trains a policy to maximize the task reward while satisfying safety constraints. While prior works focus on the performance optimality, we find that the optimal solutions of many safe RL problems are not…

Machine Learning · Computer Science 2023-03-03 Zuxin Liu , Zijian Guo , Zhepeng Cen , Huan Zhang , Jie Tan , Bo Li , Ding Zhao

Safety is the priority concern when applying reinforcement learning (RL) algorithms to real-world control problems. While policy iteration provides a fundamental algorithm for standard RL, an analogous theoretical algorithm for safe RL…

Machine Learning · Computer Science 2025-03-14 Yujie Yang , Zhilong Zheng , Shengbo Eben Li , Wei Xu , Jingjing Liu , Xianyuan Zhan , Ya-Qin Zhang

Multiple autonomous agents interact over a random communication network to maximize their individual utility functions which depend on the actions of other agents. We consider decentralized best-response with inertia type algorithms in…

Optimization and Control · Mathematics 2021-06-15 Sarper Aydın , Ceyhun Eksin

Federated learning aims to train predictive models for data that is distributed across clients, under the orchestration of a server. However, participating clients typically each hold data from a different distribution, which can yield to…

Machine Learning · Computer Science 2022-11-02 Sharut Gupta , Kartik Ahuja , Mohammad Havaei , Niladri Chatterjee , Yoshua Bengio

Reinforcement learning has demonstrated impressive performance in various challenging problems such as robotics, board games, and classical arcade games. However, its real-world applications can be hindered by the absence of robustness and…

Machine Learning · Computer Science 2024-07-02 Siemen Herremans , Ali Anwar , Siegfried Mercelis

Real-world applications require RL algorithms to act safely. During learning process, it is likely that the agent executes sub-optimal actions that may lead to unsafe/poor states of the system. Exploration is particularly brittle in…

Machine Learning · Statistics 2019-06-17 Elena Smirnova , Elvis Dohmatob , Jérémie Mary

Here several perfect simulation algorithms are brought under a single framework, and shown to derive from the same probabilistic result, called here the Fundamental Theorem of Perfect Simulation (FTPS). An exact simulation algorithm has…

Probability · Mathematics 2017-04-13 Mark Huber

Securing networked infrastructures is important in the real world. The problem of deploying security resources to protect against an attacker in networked domains can be modeled as Network Security Games (NSGs). Unfortunately, existing…

Artificial Intelligence · Computer Science 2021-06-03 Wanqi Xue , Youzhi Zhang , Shuxin Li , Xinrun Wang , Bo An , Chai Kiat Yeo

In this paper, we examine the robustness of Nash equilibria in continuous games, under both strategic and dynamic uncertainty. Starting with the former, we introduce the notion of a robust equilibrium as those equilibria that remain…

Computer Science and Game Theory · Computer Science 2025-12-10 Kyriakos Lotidis , Panayotis Mertikopoulos , Nicholas Bambos , Jose Blanchet

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

Computer Science and Game Theory · Computer Science 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

We study automated intrusion prevention using reinforcement learning. Following a novel approach, we formulate the interaction between an attacker and a defender as an optimal stopping game and let attack and defense strategies evolve…

Machine Learning · Computer Science 2022-05-31 Kim Hammar , Rolf Stadler

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

We present a method enabling a large number of agents to learn how to flock, which is a natural behavior observed in large populations of animals. This problem has drawn a lot of interest but requires many structural assumptions and is…

Multiagent Systems · Computer Science 2021-05-18 Sarah Perrin , Mathieu Laurière , Julien Pérolat , Matthieu Geist , Romuald Élie , Olivier Pietquin

We derive robust predictions in games involving flexible information acquisition, also known as rational inattention (Sims 2003). These predictions remain accurate regardless of the specific methods players employ to gather information.…

Theoretical Economics · Economics 2023-06-19 Tommaso Denti , Doron Ravid

This paper investigates the sublinear regret guarantees of two non-no-regret algorithms in zero-sum games: Fictitious Play, and Online Gradient Descent with constant stepsizes. In general adversarial online learning settings, both…

Machine Learning · Computer Science 2025-06-17 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Andre Wibisono

We consider a class of deterministic mean field games, where the state associated with each player evolves according to an ODE which is linear w.r.t. the control. Existence, uniqueness, and stability of solutions are studied from the point…

Optimization and Control · Mathematics 2022-10-27 Alberto Bressan , Khai T. Nguyen

Recent studies have shown that deep reinforcement learning (DRL) policies are vulnerable to adversarial attacks, which raise concerns about applications of DRL to safety-critical systems. In this work, we adopt a principled way and study…

Machine Learning · Computer Science 2022-05-17 Chao Wang

We study the performance of Fictitious Play, when used as a heuristic for finding an approximate Nash equilibrium of a 2-player game. We exhibit a class of 2-player games having payoffs in the range [0,1] that show that Fictitious Play…

Computer Science and Game Theory · Computer Science 2011-03-22 Paul W. Goldberg , Rahul Savani , Troels Bjerre Sorensen , Carmine Ventre
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