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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…

计算机科学与博弈论 · 计算机科学 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Shmuel Gal and Jerome Casas have recently introduced a game theoretic model that combines search and pursuit by a predator for a prey animal. The prey (hider) can hide in a finite number of locations. The predator (searcher) can inspect any…

计算机科学与博弈论 · 计算机科学 2019-12-10 Steve Alpern , Viciano Lee

In this paper we analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betweenness property and use it in the study of a discrete lion…

度量几何 · 数学 2020-11-13 Ulrich Kohlenbach , Genaro López-Acedo , Adriana Nicolae

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

机器人学 · 计算机科学 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

计算机科学与博弈论 · 计算机科学 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

We formulate a stochastic zero-sum game over continuous-time dynamics to analyze the competition between the attacker, who tries to covertly misguide the vehicle to an unsafe region, versus the detector, who tries to detect the attack…

最优化与控制 · 数学 2024-12-10 Takashi Tanaka , Kenji Sawada , Yohei Watanabe , Mitsugu Iwamoto

This paper introduces semi-competitive differential game logic dGLsc, which enables verification of safety-critical applications that involve interactions between two agents. In dGLsc, these interactions are specified as games on hybrid…

计算机科学中的逻辑 · 计算机科学 2026-01-30 Julia Butte , André Platzer

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

系统与控制 · 电气工程与系统科学 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

Reach-avoid differential games play an important role in collision avoidance, motion planning and control of aircrafts, and related applications. The central problem is the computation of the set of initial states from which the ego player…

最优化与控制 · 数学 2019-08-06 Bai Xue , Qiuye Wang , Naijun Zhan , Martin Fränzle , Shenghua Feng

Maximizing product use is a central goal of many businesses, which makes retention and monetization two central analytics metrics in games. Player retention may refer to various duration variables quantifying product use: total playtime or…

应用统计 · 统计学 2017-01-11 Markus Viljanen , Antti Airola , Jukka Heikkonen , Tapio Pahikkala

In an adversarial environment, a hostile player performing a task may behave like a non-hostile one in order not to reveal its identity to an opponent. To model such a scenario, we define identity concealment games: zero-sum stochastic…

计算机科学与博弈论 · 计算机科学 2024-03-05 Mustafa O. Karabag , Melkior Ornik , Ufuk Topcu

We study the asymptotic value of a frequency-dependent zero-sum game with separable payoff following a differential approach. The stage payoffs in such games depend on the current actions and on a linear function of the frequency of actions…

最优化与控制 · 数学 2019-01-23 Joseph Abdou , Nikolaos Pnevmatikos

Scale-invariance in games has recently emerged as a widely valued desirable property. Yet, almost all fast convergence guarantees in learning in games require prior knowledge of the utility scale. To address this, we develop learning…

计算机科学与博弈论 · 计算机科学 2026-02-13 Taira Tsuchiya , Haipeng Luo , Shinji Ito

This paper studies a language-based opacity enforcement in a two-player, zero-sum game on a graph. In this game, player 1 (P1) wins if it can achieve a secret temporal goal described by the language of a finite automaton, no matter what…

系统与控制 · 电气工程与系统科学 2023-04-05 Chongyang Shi , Abhishek N. Kulkarni , Hazhar Rahmani , Jie Fu

Anomaly detection is a method for discovering unusual and suspicious behavior. In many real-world scenarios, the examined events can be directly linked to the actions of an adversary, such as attacks on computer networks or frauds in…

We introduce a new non-zero-sum game of optimal stopping with asymmetric exercise opportunities. Given a stochastic process modelling the value of an asset, one player observes and can act on the process continuously, while the other player…

概率论 · 数学 2024-05-16 José Luis Pérez , Neofytos Rodosthenous , Kazutoshi Yamazaki

An operational relevant conflict between teams of autonomous vehicles in the Beyond Visual Range domain is addressed in this paper. Optimal strategies are designed in order for a team of air interceptors to protect a high value asset and…

最优化与控制 · 数学 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

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…

计算机科学与博弈论 · 计算机科学 2012-03-02 Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

We investigate a pursuit-evasion game on an undirected graph in which a robber, moving at a fixed constant speed, attempts to evade a team of cops who are blind to the robber's location and can quickly travel between any pair of vertices in…

组合数学 · 数学 2025-12-01 Hector Buffière , Rutger Campbell , Kevin Hendrey , Sang-il Oum

In active visual tracking, it is notoriously difficult when distracting objects appear, as distractors often mislead the tracker by occluding the target or bringing a confusing appearance. To address this issue, we propose a mixed…

计算机视觉与模式识别 · 计算机科学 2021-06-21 Fangwei Zhong , Peng Sun , Wenhan Luo , Tingyun Yan , Yizhou Wang