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The traditional approach to choosing moves in game-playing programs is the minimax procedure. The general belief underlying its use is that increasing search depth improves play. Recent research has shown that given certain simplifying…

人工智能 · 计算机科学 2013-04-15 Bruce Abramson

Parity games have witnessed several new quasi-polynomial algorithms since the breakthrough result of Calude et al. (STOC 2017). The combinatorial object underlying these approaches is a universal tree, as identified by Czerwi\'nski et al.…

数据结构与算法 · 计算机科学 2025-06-25 Zhuan Khye Koh , Georg Loho

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

最优化与控制 · 数学 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

Graph Exploration problems ask a searcher to explore an unknown environment. The environment is modeled as a graph, where the searcher needs to visit each vertex beginning at some vertex. Treasure Hunt problems are a variation of Graph…

计算复杂性 · 计算机科学 2024-12-02 Janosch Fuchs , Christoph Grüne , Tom Janßen

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

Strategic network formation arises where agents receive benefit from connections to other agents, but also incur costs for forming links. We consider a new network formation game that incorporates an adversarial attack, as well as…

计算机科学与博弈论 · 计算机科学 2016-11-10 Sanjeev Goyal , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

Hedge has been proposed as an adaptive scheme, which guides an agent's decision in resource selection and distribution problems that can be modeled as a multi-armed bandit full information game. Such problems are encountered in the areas of…

机器学习 · 计算机科学 2018-12-10 Miltiades E. Anagnostou , Maria A. Lambrou

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

计算机科学与博弈论 · 计算机科学 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept…

最优化与控制 · 数学 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

In this paper we will be introducing a type of game which as far as this author is aware has never been studied before. These are games where there are two players, one who is trying to get one of his pieces, called a King to a predefined…

组合数学 · 数学 2012-09-07 Fraser Stewart

The containment game is a full information game for two players, initialised with a set of occupied vertices in an infinite connected graph $G$. On the $t$-th turn, the first player, called Spreader, extends the occupied set to $g(t)$…

组合数学 · 数学 2025-12-30 Ohad Noy Feldheim , Itamar Israeli

We consider a variant of the hide-and-seek game in which a seeker inspects multiple hiding locations to find multiple items hidden by a hider. Each hiding location has a maximum hiding capacity and a probability of detecting its hidden…

计算机科学与博弈论 · 计算机科学 2024-06-26 Bastián Bahamondes , Mathieu Dahan

The aim of this paper is to solve the "gift exchange" problem: you are one of n players, and there are n wrapped gifts on display; when your turn comes, you can either choose any of the remaining wrapped gifts, or you can "steal" a gift…

组合数学 · 数学 2009-07-06 David Applegate , N. J. A. Sloane

We consider a variation of cop vs.\ robber on graph in which the robber is not restricted by the graph edges; instead, he picks a time-independent probability distribution on $V(G)$ and moves according to this fixed distribution. The cop…

组合数学 · 数学 2013-08-23 Natasha Komarov , Peter Winkler

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…

机器学习 · 计算机科学 2019-02-12 Andreas Merentitis , Kashif Rasul , Roland Vollgraf , Abdul-Saboor Sheikh , Urs Bergmann

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

计算机科学与博弈论 · 计算机科学 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

Stochastic patrol routing is known to be advantageous in adversarial settings; however, the optimal choice of stochastic routing strategy is dependent on a model of the adversary. We adopt a worst-case omniscient adversary model from the…

系统与控制 · 电气工程与系统科学 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

A new surveillance-evasion differential game is posed and solved in which an agile pursuer (the prying pedestrian) seeks to remain within a given surveillance range of a less agile evader that aims to escape. In contrast to previous…

系统与控制 · 电气工程与系统科学 2025-05-13 Philipp Braun , Timothy L. Molloy , Iman Shames

We consider control of heterogeneous players repeatedly playing an anti-coordination network game. In an anti-coordination game, each player has an incentive to differentiate its action from its neighbors. At each round of play, players…

系统与控制 · 计算机科学 2018-12-13 Ceyhun Eksin , Keith Paarporn

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
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