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Subgame solving is a technique for scaling algorithms to large games by locally refining a precomputed blueprint strategy during gameplay. While straightforward in perfect-information games where search starts from the current state,…

计算机科学与博弈论 · 计算机科学 2026-01-27 Ondrej Kubicek , Viliam Lisy , Tuomas Sandholm

Two-vehicle racing is natural example of a competitive dynamic game. As with most dynamic games, there are many ways in which the underlying solution concept can be structured, resulting in different equilibrium concepts. The assumed…

计算机科学与博弈论 · 计算机科学 2025-03-11 Andrew Cinar , Forrest Laine

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 present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

计算机科学与博弈论 · 计算机科学 2024-06-14 Carlos Martin , Tuomas Sandholm

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

计算机科学与博弈论 · 计算机科学 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

An atomic routing game is a multiplayer game on a directed graph. Each player in the game chooses a path -- a sequence of links that connect its origin node to its destination node -- with the lowest cost, where the cost of each link is a…

计算机科学与博弈论 · 计算机科学 2023-05-19 Yue Yu , Shenghui Chen , David Fridovich-Keil , Ufuk Topcu

In this paper, a multi-agent motion planning problem is studied aiming to minimize energy consumption of connected automated vehicles (CAVs) in lane change scenarios. We model this interactive motion planning as a generalized Nash…

系统与控制 · 电气工程与系统科学 2024-11-25 Viranjan Bhattacharyya , Tyler Ard , Rongyao Wang , Ardalan Vahidi , Yunyi Jia , Jihun Han

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

系统与控制 · 电气工程与系统科学 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

In zero-sum games, the optimal strategy is well-defined by the Nash equilibrium. However, it is overly conservative when playing against suboptimal opponents and it can not exploit their weaknesses. Limited look-ahead game solving in…

计算机科学与博弈论 · 计算机科学 2024-04-04 David Milec , Ondřej Kubíček , Viliam Lisý

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

系统与控制 · 电气工程与系统科学 2025-11-04 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

Extensive-form games are a common model for multiagent interactions with imperfect information. In two-player zero-sum games, the typical solution concept is a Nash equilibrium over the unconstrained strategy set for each player. In many…

计算机科学与博弈论 · 计算机科学 2019-02-07 Trevor Davis , Kevin Waugh , Michael Bowling

We consider the escape interdiction problem in a transportation network. In the absence of traffic in the network, the criminal/attacker tries to escape from the city using any of the shortest paths from the crime scene to any randomly…

物理与社会 · 物理学 2023-05-25 Sukanya Samanta , Jatin Uniyal , Goutam Sen , Soumya Kanti Ghosh

In this paper, we present a study of a mobility game with uncertainty in the decision-making of travelers and incorporate prospect theory to model travel behavior. We formulate a mobility game that models how travelers distribute their…

系统与控制 · 电气工程与系统科学 2024-03-20 Ioannis Vasileios Chremos , Heeseung Bang , Aditya Dave , Viet-Anh Le , Andreas A. Malikopoulos

Considering personalized driving preferences, a new decision-making framework is developed using a differential game approach to resolve the driving conflicts of autonomous vehicles (AVs) at unsignalized intersections. To realize human-like…

系统与控制 · 电气工程与系统科学 2022-05-10 Peng Hang , Chao Huang , Zhongxu Hu , Chen Lv

A game-theoretic framework for time-inconsistent stopping problems where the time-inconsistency is due to the consideration of a non-linear function of an expected reward is developed. A class of mixed strategy stopping times that allows…

最优化与控制 · 数学 2020-01-23 Sören Christensen , Kristoffer Lindensjö

We study the problem of learning in zero-sum matrix games with repeated play and bandit feedback. Specifically, we focus on developing uncoupled algorithms that guarantee, without communication between players, the convergence of the…

机器学习 · 计算机科学 2026-04-20 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Michal Valko , Vianney Perchet

The mathematical characterization of social-distancing games in classical epidemic theory remains an important question, for their applications to both infectious-disease theory and memetic theory. We consider a special case of the dynamic…

计算机科学与博弈论 · 计算机科学 2026-03-16 Connor D Olson , Timothy C Reluga

This paper considers a 2-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

计算机科学与博弈论 · 计算机科学 2016-04-19 Mathieu Dahan , Saurabh Amin

We introduce Contested Logistics Games, a variant of logistics problems that account for the presence of an adversary that can disrupt the movement of goods in selected areas. We model this as a large two-player zero-sum one-shot game…

计算机科学与博弈论 · 计算机科学 2024-08-26 Jakub Cerny , Chun Kai Ling , Darshan Chakrabarti , Jingwen Zhang , Gabriele Farina , Christian Kroer , Garud Iyengar

Network games provide a powerful framework for modeling agent interactions in networked systems, where players are represented by nodes in a graph and their payoffs depend on the actions taken by their neighbors. Extending the framework of…

最优化与控制 · 数学 2025-12-17 Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas , Antonios Varvitsiotis