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Given a mapped environment, we formulate the problem of visually tracking and following an evader using a probabilistic framework. In this work, we consider a non-holonomic robot with a limited visibility depth sensor in an indoor…

机器人学 · 计算机科学 2019-04-23 Varun Chandra Jammula , Anshul Rai , Yezhou Yang

Desensitization addresses safe optimal planning under parametric uncertainties by providing sensitivity function-based risk estimates. This paper expands upon the existing work on desensitization in optimal control to address safe planning…

系统与控制 · 电气工程与系统科学 2024-02-08 Vinodhini Comandur , Tulasi Ram Vechalapu , Venkata Ramana Makkapati , Panagiotis Tsiotras , Seth Hutchinson

In this note we discuss a theory of combinatorial games that involve transmitting the moves through a noisy channel that can introduce errors during the transmission. Players are aware of this interference and incorporate this variable into…

组合数学 · 数学 2020-12-15 Nicolas Capitelli , Melina Privitelli

We consider a hide-and-seek game between a Hider and a Seeker over a finite set of locations. The Hider chooses one location to conceal a stationary treasure, while the Seeker visits the locations sequentially along a route. As the search…

系统与控制 · 电气工程与系统科学 2026-03-31 Prajakta Surve , Shaunak D. Bopardikar , Daigo Shishika , Dipankar Maity , Michael Dorothy

We study a game of pursuit and evasion introduced by Seager in 2012, in which a cop searches the robber from outside the graph, using distance queries. A graph on which the cop wins is called locatable. In her original paper, Seager asked…

组合数学 · 数学 2014-02-13 Richard A. B. Johnson , Sebastian Koch

We study the computational complexity of distance games, a class of combinatorial games played on graphs. A move consists of colouring an uncoloured vertex subject to it not being at certain distances determined by two sets, D and S. D is…

计算复杂性 · 计算机科学 2019-02-12 Kyle Burke , Silvia Heubach , Melissa Huggan , Svenja Huntemann

We train embodied agents to play Visual Hide and Seek where a prey must navigate in a simulated environment in order to avoid capture from a predator. We place a variety of obstacles in the environment for the prey to hide behind, and we…

人工智能 · 计算机科学 2019-10-18 Boyuan Chen , Shuran Song , Hod Lipson , Carl Vondrick

We study pure Nash equilibria in games on graphs with an imperfect monitoring based on a public signal. In such games, deviations and players responsible for those deviations can be hard to detect and track. We propose a generic epistemic…

计算机科学与博弈论 · 计算机科学 2019-08-21 Patricia Bouyer

We consider the mixed search game against an agile and visible fugitive. This is the variant of the classic fugitive search game on graphs where searchers may be placed to (or removed from) the vertices or slide along edges. Moreover, the…

离散数学 · 计算机科学 2022-10-21 Guillaume Mescoff , Christophe Paul , Dimitrios M. Thilikos

We introduce the game of Surrounding Cops and Robbers on a graph, as a variant of the original game of Cops and Robbers. In contrast to the original game in which the cops win by occupying the same vertex as the robber, they now win by…

In this paper we analyze a variant of the pursuit-evasion game on a graph $G$ where the intruder occupies a vertex, is allowed to move to adjacent vertices or remain in place, and is 'invisible' to the searcher, meaning that the searcher…

组合数学 · 数学 2022-04-07 Anton Bernshteyn , Eugene Lee

Harry hides on an edge of a graph and does not move from there. Sally, starting from a known origin, tries to find him as soon as she can. Harry's goal is to be found as late as possible. At any given time, each edge of the graph is either…

计算机科学与博弈论 · 计算机科学 2020-01-22 Tristan Garrec , Marco Scarsini

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

机器学习 · 统计学 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

We study a simple example of a sequential game illustrating problems connected with making rational decisions that are universal for social sciences. The set of chooser's optimal decisions that manifest his preferences in case of a constant…

物理与社会 · 物理学 2007-05-23 Edward W. Piotrowski , Marcin Makowski

The concept of intransitiveness for games, which is the condition for which there is no first-player winning strategy can arise surprisingly, as happens in the Penney game, an extension of the heads or tails. Since a game can be converted…

物理与社会 · 物理学 2024-03-07 Alberto Baldi , Franco Bagnoli

This paper solves a pursuit-evasion problem in which a prince must find a princess who is constrained to move on each day from one vertex of a finite graph to another. Unlike the related and much studied `Cops and Robbers Game', the prince…

组合数学 · 数学 2012-04-26 John R. Britnell , Mark Wildon

Navigating through a visual maze relies on the strategic use of eye movements to select and identify the route. When navigating the maze, there are trade-offs between exploring to the environment and relying on memory. This study examined…

计算机视觉与模式识别 · 计算机科学 2013-07-23 Min Zhao , Andre G. Marquez

In this paper, we analyse a misere tree searching game, where players take turns to guess vertices in a tree with a secret `poisoned' vertex. After each turn, the guessed vertex is removed from the tree and the game continues on the…

概率论 · 数学 2025-03-11 Ben Andrews

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

Adversarial environments require agents to navigate a key strategic trade-off: acquiring information enhances situational awareness, but may simultaneously expose them to threats. To investigate this tension, we formulate a…

人工智能 · 计算机科学 2025-10-10 Valerio La Gatta , Dolev Mutzari , Sarit Kraus , VS Subrahmanian