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This paper introduces Deep Policy Iteration (DPI), a novel approach that integrates the strengths of Neural Networks with the stability and convergence advantages of Policy Iteration (PI) to address high-dimensional stochastic Mean Field…

最优化与控制 · 数学 2024-07-15 Mouhcine Assouli , Badr Missaoui

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

计算机科学中的逻辑 · 计算机科学 2015-11-20 André Platzer

This work adopts the very successful distributional perspective on reinforcement learning and adapts it to the continuous control setting. We combine this within a distributed framework for off-policy learning in order to develop what we…

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

This paper is about a set-based computing method for solving a general class of two-player zero-sum Stackelberg differential games. We assume that the game is modeled by a set of coupled nonlinear differential equations, which can be…

最优化与控制 · 数学 2019-09-10 Xuhui Feng , Mario E. Villanueva , Boris Houska

Deep learning is built on the foundational guarantee that gradient descent on an objective function converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, that exhibit multiple…

This paper considers the distributed strategy design for Nash equilibrium (NE) seeking in multi-cluster games under a partial-decision information scenario. In the considered game, there are multiple clusters and each cluster consists of a…

最优化与控制 · 数学 2022-06-08 Min Meng , Xiuxian Li

This paper is concerned with a new type of differential game problems of forwardbackward stochastic systems. There are three distinguishing features: Firstly, our game systems are forward-backward doubly stochastic differential equations,…

最优化与控制 · 数学 2015-10-09 Eddie C. M. Hui , Hua Xiao

For the classical backward induction algorithm, the input is an arbitrary $n$-person positional game with perfect information modeled by a finite acyclic directed graph (digraph) and the output is a profile $(x_1, \ldots, x_n)$ of pure…

组合数学 · 数学 2017-11-21 Vladimir Gurvich

This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This framework extends classical population games, where individuals…

系统与控制 · 电气工程与系统科学 2025-09-09 Yu-Wen Chen , Nuno C. Martins , Murat Arcak

In human-AI interaction, a prominent goal is to attain human`s desirable outcome with the assistance of AI agents, which can be ideally delineated as a problem of seeking the optimal Nash Equilibrium that matches the human`s desirable…

人工智能 · 计算机科学 2024-05-28 Anjie Liu , Jianhong Wang , Haoxuan Li , Xu Chen , Jun Wang , Samuel Kaski , Mengyue Yang

Playing repeated matrix games (RMG) while maximizing the cumulative returns is a basic method to evaluate multi-agent learning (MAL) algorithms. Previous work has shown that $UCB$, $M3$, $S$ or $Exp3$ algorithms have good behaviours on…

机器学习 · 计算机科学 2018-11-02 Bruno Bouzy , Marc Métivier , Damien Pellier

In shared autonomy, a critical tension arises when an automated assistant must choose between obeying a human's instruction and deliberately overriding it to prevent harm. This safety-critical behavior is known as intelligent disobedience.…

人工智能 · 计算机科学 2026-03-24 Benedikt Hornig , Reuth Mirsky

We introduce a new class of context dependent, incomplete information games to serve as structured prediction models for settings with significant strategic interactions. Our games map the input context to outcomes by first condensing the…

机器学习 · 计算机科学 2019-05-30 Vikas K. Garg , Tommi Jaakkola

Motivated by the omnipresence of hierarchical structures in many real-world applications, this study delves into the intricate realm of bi-level games, with a specific focus on exploring local Stackelberg equilibria as a solution concept.…

系统与控制 · 电气工程与系统科学 2024-02-23 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

This paper introduces algorithm instance games (AIGs) as a conceptual classification applying to games in which outcomes are resolved from joint strategies algorithmically. For such games, a fundamental question asks: How do the details of…

计算机科学与博弈论 · 计算机科学 2014-05-15 Samuel D. Johnson , Tsai-Ching Lu

Multi-agent games in dynamic nonlinear settings are challenging due to the time-varying interactions among the agents and the non-stationarity of the (potential) Nash equilibria. In this paper we consider model-free games, where agent…

系统与控制 · 电气工程与系统科学 2025-09-24 Eduardo Sebastián , Maitrayee Keskar , Eeman Iqbal , Eduardo Montijano , Carlos Sagüés , Nikolay Atanasov

As AI systems grow more capable and autonomous, ensuring their safety and reliability requires not only model-level alignment but also strategic oversight of the humans and institutions involved in their development and deployment. Existing…

人工智能 · 计算机科学 2026-02-10 Cheol Woo Kim , Davin Choo , Tzeh Yuan Neoh , Milind Tambe

The cornerstone underpinning deep learning is the guarantee that gradient descent on an objective converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, where there are multiple…

机器学习 · 计算机科学 2018-06-07 David Balduzzi , Sebastien Racaniere , James Martens , Jakob Foerster , Karl Tuyls , Thore Graepel

We analyze independent policy-gradient (PG) learning in $N$-player linear-quadratic (LQ) stochastic differential games. Each player employs a distributed policy that depends only on its own state and updates the policy independently using…

最优化与控制 · 数学 2026-02-19 Philipp Plank , Yufei Zhang
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