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We study finite-memory (FM) determinacy in games on finite graphs, a central question for applications in controller synthesis, as FM strategies correspond to implementable controllers. We establish general conditions under which FM…

计算机科学与博弈论 · 计算机科学 2018-10-08 Stéphane Le Roux , Arno Pauly , Mickael Randour

We analyse the strategy equilibrium of dilemma games considering a payoff matrix affected by small and random perturbations on the off-diagonal. Notably, a recent work [1] reported that, while cooperation is sustained by perturbations…

物理与社会 · 物理学 2020-07-01 Marco A. Amaral , Marco A. Javarone

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton, and one of the players can elapse time. We perform a systematic study of synthesis…

形式语言与自动机理论 · 计算机科学 2026-01-09 Sławomir Lasota , Mathieu Lehaut , Julie Parreaux , Radosław Piórkowski

The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral control over iterated interactions. These remarkable strategies,…

种群与进化 · 定量生物学 2016-04-12 Alex McAvoy , Christoph Hauert

In the context of competitive multiplayer games, collusion happens when two or more teams decide to collaborate towards a common goal, with the intention of gaining an unfair advantage from this cooperation. The task of identifying…

Stochastic multiplayer games (SMGs) have gained attention in the field of strategy synthesis for multi-agent reactive systems. However, standard SMGs are limited to modeling systems where all agents have full knowledge of the state of the…

计算机科学与博弈论 · 计算机科学 2019-05-31 Mahmoud Elfar , Yu Wang , Miroslav Pajic

In imperfect information games (e.g. Bridge, Skat, Poker), one of the fundamental considerations is to infer the missing information while at the same time avoiding the disclosure of private information. Disregarding the issue of protecting…

人工智能 · 计算机科学 2024-05-24 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

We study a generic family of two-player continuous-time nonzero-sum stopping games modeling a war of attrition with symmetric information and stochastic payoffs that depend on an homogeneous linear diffusion. We first show that any…

最优化与控制 · 数学 2022-10-18 Jean-Paul Décamps , Fabien Gensbittel , Thomas Mariotti

The Maker-Breaker domination game is a positional game played on a graph by two players called Dominator and Staller. The players alternately select a vertex of the graph that has not yet been chosen. Dominator wins if at some point the…

组合数学 · 数学 2024-06-24 Guillaume Bagan , Eric Duchêne , Valentin Gledel , Tuomo Lehtilä , Aline Parreau

We present a novel method to compute \emph{permissive winning strategies} in two-player games over finite graphs with $ \omega $-regular winning conditions. Given a game graph $G$ and a parity winning condition $\Phi$, we compute a…

计算机科学与博弈论 · 计算机科学 2024-01-23 Ashwani Anand , Satya Prakash Nayak , Anne-Kathrin Schmuck

Complex networks tend to display communities which are groups of nodes cohesively connected among themselves in one group and sparsely connected to the remainder of the network. Detecting such communities is an important computational…

计算机科学与博弈论 · 计算机科学 2021-02-02 Elham Havvaei , Narsingh Deo

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

机器人学 · 计算机科学 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

Infinite-state games are a commonly used model for the synthesis of reactive systems with unbounded data domains. Symbolic methods for solving such games need to be able to construct intricate arguments to establish the existence of winning…

计算机科学中的逻辑 · 计算机科学 2024-05-16 Anne-Kathrin Schmuck , Philippe Heim , Rayna Dimitrova , Satya Prakash Nayak

We consider an n-player symmetric stochastic game with weak interaction between the players. Time is continuous and the horizon and the number of states are finite. We show that the value function of each of the players can be approximated…

偏微分方程分析 · 数学 2018-07-13 Erhan Bayraktar , Asaf Cohen

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

计算机科学中的逻辑 · 计算机科学 2015-11-20 André Platzer

Mean-payoff games are important quantitative models for open reactive systems. They have been widely studied as games of full observation. In this paper we investigate the algorithmic properties of several sub-classes of mean-payoff games…

计算机科学与博弈论 · 计算机科学 2017-10-10 Paul Hunter , Arno Pauly , Guillermo A. Pérez , Jean-François Raskin

We consider a discrete-time dynamic search game in which a number of players compete to find an invisible object that is moving according to a time-varying Markov chain. We examine the subgame perfect equilibria of these games. The main…

最优化与控制 · 数学 2020-08-26 Benoit Duvocelle , János Flesch , Hui Min Shi , Dries Vermeulen

We consider a stochastic game of control and stopping specified in terms of a process $X_t=-\theta \Lambda_t+W_t$, representing the holdings of Player 1, where $W$ is a Brownian motion, $\theta$ is a Bernoulli random variable indicating…

最优化与控制 · 数学 2020-10-09 Erik Ekström , Kristoffer Lindensjö , Marcus Olofsson

Repeated games are useful models to analyze long term interactions of living species and complex social phenomena. Zero-determinant (ZD) strategies in repeated games discovered by Press and Dyson in 2012 enforce a linear payoff relationship…

种群与进化 · 定量生物学 2021-06-29 Azumi Mamiya , Daiki Miyagawa , Genki Ichinose

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

机器人学 · 计算机科学 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron