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This letter proposes a novel continuous-time dynamic programming framework to determine when it is optimal for a pursuer to use MC amidst uncertainty in the evader's escape attempt time. We motivate this framework through the model problem…

Optimization and Control · Mathematics 2024-11-27 Mallory E. Gaspard

This paper investigates the encirclement control problem involving two groups using a non-cooperative differential game approach. The active group seeks to chase and encircle the passive group, while the passive group responds by fleeing…

Optimization and Control · Mathematics 2025-02-28 Panpan Zhou , Yueyue Xu , Yibei Li , Bo Wahlberg , Xiaoming Hu

We analyze the duration of the unbiased Avoider-Enforcer game for three basic positional games. All the games are played on the edges of the complete graph on $n$ vertices, and Avoider's goal is to keep his graph outerplanar, diamond-free…

Combinatorics · Mathematics 2009-10-26 János Barát , Miloš Stojaković

We consider a model of two competing microswimming agents engaged in a pursue-evasion task within a low-Reynolds-number environment. Agents can only perform simple maneuvers and sense hydrodynamic disturbances, which provide ambiguous…

Fluid Dynamics · Physics 2022-03-04 Francesco Borra , Luca Biferale , Massimo Cencini , Antonio Celani

Deep Reinforcement Learning has been shown to be very successful in complex games, e.g. Atari or Go. These games have clearly defined rules, and hence allow simulation. In many practical applications, however, interactions with the…

Machine Learning · Computer Science 2019-02-12 Andreas Merentitis , Kashif Rasul , Roland Vollgraf , Abdul-Saboor Sheikh , Urs Bergmann

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

In this paper, we investigate a multi-agent target guarding problem in which a single defender seeks to capture multiple attackers aiming to reach a high-value target area. In contrast to previous studies, the attackers herein are assumed…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Yoonjae Lee , Goutam Das , Daigo Shishika , Efstathios Bakolas

We consider a surveillance-evasion game in an environment with obstacles. In such an environment, a mobile pursuer seeks to maintain the visibility with a mobile evader, who tries to get occluded from the pursuer in the shortest time…

Analysis of PDEs · Mathematics 2023-08-28 Carlos Esteve-Yagüe , Richard Tsai

In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

Multi-player multi-armed bandit is an increasingly relevant decision-making problem, motivated by applications to cognitive radio systems. Most research for this problem focuses exclusively on the settings that players have \textit{full…

Machine Learning · Computer Science 2022-12-14 Guojun Xiong , Jian Li

Zero-shot coordination problem in multi-agent reinforcement learning (MARL), which requires agents to adapt to unseen agents, has attracted increasing attention. Traditional approaches often rely on the Self-Play (SP) framework to generate…

Multiagent Systems · Computer Science 2024-11-05 Weifan Long , Wen Wen , Peng Zhai , Lihua Zhang

We study a wireless jamming problem consisting of the competition between a legitimate receiver and a jammer, as a zero-sum game where the value to maximize/minimize is the channel capacity at the receiver's side. Most of the approaches…

Computer Science and Game Theory · Computer Science 2026-05-19 Giovanni Perin , Leonardo Badia

The deduction game is a variation of the game of cops and robber on graphs in which searchers must capture an invisible evader in at most one move. Searchers know each others' initial locations, but can only communicate if they are on the…

Combinatorics · Mathematics 2024-12-24 Andrea Burgess , Danny Dyer , Mozhgan Farahani

Game theory offers an interpretable mathematical framework for modeling multi-agent interactions. However, its applicability in real-world robotics applications is hindered by several challenges, such as unknown agents' preferences and…

Robotics · Computer Science 2023-10-17 Christopher Diehl , Tobias Klosek , Martin Krüger , Nils Murzyn , Torsten Bertram

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

Machine Learning · Computer Science 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-09-25 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Two standard algorithms for approximately solving two-player zero-sum concurrent reachability games are value iteration and strategy iteration. We prove upper and lower bounds of 2^(m^(Theta(N))) on the worst case number of iterations…

Computer Science and Game Theory · Computer Science 2012-03-02 Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

In the standard setting of approachability there are two players and a target set. The players play repeatedly a known vector-valued game where the first player wants to have the average vector-valued payoff converge to the target set which…

Machine Learning · Statistics 2016-06-20 Shie Mannor , Vianney Perchet , Gilles Stoltz

This paper develops an analytical strategy for solving the linear quadratic pursuit-evasion game in arbitrary Keplerian reference orbits. The motion of the pursuer and evader is described using the controlled Tschauner-Hempel equations, and…

Optimization and Control · Mathematics 2026-02-02 Shuyue Fu , Shengping Gong , Peng Shi
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