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相关论文: Anytime-Constrained Equilibria in Polynomial Time

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Energy games belong to a class of turn-based two-player infinite-duration games}played on a weighted directed graph. It is one of the rare and intriguing combinatorial problems that lie in ${\sf NP} \cap {\sf co\mbox{-}NP}$, but are not…

数据结构与算法 · 计算机科学 2018-03-02 Krishnendu Chatterjee , Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

In this work, we consider the problem of autonomous racing with multiple agents where agents must interact closely and influence each other to compete. We model interactions among agents through a game-theoretical framework and propose an…

系统与控制 · 电气工程与系统科学 2023-05-02 Yixuan Jia , Maulik Bhatt , Negar Mehr

We analyze the problem of computing a correlated equilibrium that optimizes some objective (e.g., social welfare). Papadimitriou and Roughgarden [2008] gave a sufficient condition for the tractability of this problem; however, this…

计算机科学与博弈论 · 计算机科学 2011-09-29 Albert Xin Jiang , Kevin Leyton-Brown

We present polynomial-time algorithms as well as hardness results for equilibrium computation in atomic splittable routing games, for the case of general convex cost functions. These games model traffic in freight transportation, market…

计算机科学与博弈论 · 计算机科学 2018-04-27 Umang Bhaskar , Phani Raj Lolakapuri

This paper deals with N-person nonzero-sum discrete-time Markov games under a probability criterion, in which the transition probabilities and reward functions are allowed to vary with time. Differing from the existing works on the expected…

概率论 · 数学 2025-05-16 Xin Guo , Xin Wen

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

最优化与控制 · 数学 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We study equilibrium computation with extensive-form correlation in two-player turn-taking stochastic games. Our main results are two-fold: (1) We give an algorithm for computing a Stackelberg extensive-form correlated equilibrium (SEFCE),…

计算机科学与博弈论 · 计算机科学 2024-12-24 Hanrui Zhang , Yu Cheng , Vincent Conitzer

We establish the existence of optimal scheduling strategies for time-bounded reachability in continuous-time Markov decision processes, and of co-optimal strategies for continuous-time Markov games. Furthermore, we show that optimal control…

形式语言与自动机理论 · 计算机科学 2010-06-07 Markus Rabe , Sven Schewe

We consider solutions of normal form games that are invariant under strategic equivalence. We consider additional properties that can be expected (or be desired) from a solution of a game, and we observe the following: - Even the weakest…

计算机科学与博弈论 · 计算机科学 2014-02-24 Yakov Babichenko

This paper is about computing constrained approximate Nash equilibria in polymatrix games, which are succinctly represented many-player games defined by an interaction graph between the players. In a recent breakthrough, Rubinstein showed…

计算机科学与博弈论 · 计算机科学 2017-05-09 Argyrios Deligkas , John Fearnley , Rahul Savani

In this work, we consider the problem of minimising the social cost in atomic congestion games. For this problem, we provide tight computational lower bounds along with taxation mechanisms yielding polynomial time algorithms with optimal…

计算机科学与博弈论 · 计算机科学 2022-05-23 Dario Paccagnan , Martin Gairing

Policy gradient methods enjoy strong practical performance in numerous tasks in reinforcement learning. Their theoretical understanding in multiagent settings, however, remains limited, especially beyond two-player competitive and potential…

计算机科学与博弈论 · 计算机科学 2023-12-22 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

人工智能 · 计算机科学 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

This paper considers a time-varying game with $N$ players. Every time slot, players observe their own random events and then take a control action. The events and control actions affect the individual utilities earned by each player. The…

计算机科学与博弈论 · 计算机科学 2014-02-04 Michael J. Neely

This paper characterizes differentiable and subgame Markov perfect equilibria in a continuous time intertemporal decision problem with non-constant discounting. Capturing the idea of non commitment by letting the commitment period being…

最优化与控制 · 数学 2008-08-29 Ivar Ekeland , Ali Lazrak

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

计算机科学与博弈论 · 计算机科学 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

In this paper, we consider a large class of constrained non-cooperative stochastic Markov games with countable state spaces and discounted cost criteria. In one-player case, i.e., constrained discounted Markov decision models, it is…

最优化与控制 · 数学 2021-12-16 Anna Jaśkiewicz , Andrzej S. Nowak

This paper is devoted to solving a time-inconsistent risk-sensitive control problem with parameter $\e$ and its limit case ($\e\rightarrow0^+$) for countable-stated Markov decision processes (MDPs for short). Since the cost functional is…

最优化与控制 · 数学 2020-10-22 Hongwei Mei

In probabilistic game structures, probabilistic alternating simulation (PA-simulation) relations preserve formulas defined in probabilistic alternating-time temporal logic with respect to the behaviour of a subset of players. We propose a…

计算机科学与博弈论 · 计算机科学 2015-03-19 Chenyi Zhang , Jun Pang

We consider a zero-sum stochastic game for continuous-time Markov chain with countable state space and unbounded transition and pay-off rates. The additional feature of the game is that the controllers together with taking actions are also…

最优化与控制 · 数学 2020-09-01 Chandan Pal , Subhamay Saha