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Classical objectives in two-player zero-sum games played on graphs often deal with limit behaviors of infinite plays: e.g., mean-payoff and total-payoff in the quantitative setting, or parity in the qualitative one (a canonical way to…

计算机科学中的逻辑 · 计算机科学 2016-09-15 Véronique Bruyère , Quentin Hautem , Mickael Randour

In this paper, we are interested in the synthesis of schedulers in double-weighted Markov decision processes, which satisfy both a percentile constraint over a weighted reachability condition, and a quantitative constraint on the expected…

计算机科学中的逻辑 · 计算机科学 2018-09-11 Patricia Bouyer , Mauricio González , Nicolas Markey , Mickael Randour

We consider a class of two-player turn-based zero-sum games on graphs with reachability objectives, known as reachability games, where the objective of Player 1 (P1) is to reach a set of goal states, and that of Player 2 (P2) is to prevent…

计算机科学与博弈论 · 计算机科学 2020-07-16 Abhishek N. Kulkarni , Jie Fu

We propose a novel decision making framework for forming potential collaboration among otherwise competing agents in subsurface systems. The agents can be, e.g., groundwater, CO$_2$, or hydrogen injectors and extractors with conflicting…

最优化与控制 · 数学 2025-02-28 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

计算机科学中的逻辑 · 计算机科学 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

We consider two-player games played on weighted directed graphs with mean-payoff and total-payoff objectives, two classical quantitative objectives. While for single-dimensional games the complexity and memory bounds for both objectives…

计算机科学与博弈论 · 计算机科学 2014-11-04 Krishnendu Chatterjee , Laurent Doyen , Mickael Randour , Jean-François Raskin

We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of deciding the winner in such games is undecidable in general, we…

计算机科学与博弈论 · 计算机科学 2010-02-15 Tomas Brazdil , Petr Jancar , Antonin Kucera

We study two-player concurrent stochastic games on finite graphs, with B\"uchi and co-B\"uchi objectives. The goal of the first player is to maximize the probability of satisfying the given objective. Following Martin's determinacy theorem…

计算机科学与博弈论 · 计算机科学 2022-11-28 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

最优化与控制 · 数学 2014-07-16 Dario Bauso , Thomas W L Norman

We introduce the rendezvous game with adversaries. In this game, two players, {\sl Facilitator} and {\sl Disruptor}, play against each other on a graph. Facilitator has two agents, and Disruptor has a team of $k$ agents located in some…

离散数学 · 计算机科学 2021-03-12 Fedor V. Fomin , Petr A. Golovach , Dimitrios M. Thilikos

Two-player games on graphs provide the mathematical foundation for the study of reactive systems. In the quantitative framework, an objective assigns a value to every play, and the goal of player 1 is to minimize the value of the objective.…

计算机科学中的逻辑 · 计算机科学 2014-04-30 Yaron Velner

Concurrent parameterized games involve a fixed yet arbitrary number of players. They are described by finite arenas in which the edges are labeled with languages that describe the possible move combinations leading from one vertex to…

计算机科学中的逻辑 · 计算机科学 2025-05-22 Nathalie Bertrand , Patricia Bouyer , Gaëtan Staquet

We study the computational complexity of solving stochastic games with mean-payoff objectives. Instead of identifying special classes in which simple strategies are sufficient to play $\epsilon$-optimally, or form $\epsilon$-Nash…

计算机科学与博弈论 · 计算机科学 2024-05-16 Sougata Bose , Rasmus Ibsen-Jensen , Patrick Totzke

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

系统与控制 · 电气工程与系统科学 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

Two-player, turn-based, stochastic games with reachability conditions are considered, where the maximizer has no information (he is blind) and is restricted to deterministic strategies whereas the minimizer is perfectly informed. We ask the…

计算机科学与博弈论 · 计算机科学 2016-05-26 Edon Kelmendi , Hugo Gimbert

The winning condition of a parity game with costs requires an arbitrary, but fixed bound on the cost incurred between occurrences of odd colors and the next occurrence of a larger even one. Such games quantitatively extend parity games…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Alexander Weinert , Martin Zimmermann

In many applications, we want to influence the decisions of independent agents by designing incentives for their actions. We revisit a fundamental problem in this area, called GAME IMPLEMENTATION: Given a game in standard form and a set of…

计算机科学与博弈论 · 计算机科学 2022-12-02 Jiehua Chen , Sebastian Vincent Haydn , Negar Layegh Khavidaki , Sofia Simola , Manuel Sorge

Weighted timed games are two-player zero-sum games played in a timed automaton equipped with integer weights. We consider optimal reachability objectives, in which one of the players, that we call Min, wants to reach a target location while…

计算机科学与博弈论 · 计算机科学 2025-03-05 Benjamin Monmege , Julie Parreaux , Pierre-Alain Reynier

We present a new approach to solving games with a countably or uncountably infinite number of players. Such games are often used to model multiagent systems with a large number of agents. The latter are frequently encountered in economics,…

计算机科学与博弈论 · 计算机科学 2025-01-17 Carlos Martin , Tuomas Sandholm

This paper considers the problem of solving infinite two-player games over finite graphs under various classes of progress assumptions motivated by applications in cyber-physical system (CPS) design. Formally, we consider a game graph G, a…

计算机科学与博弈论 · 计算机科学 2024-01-23 Anne-Kathrin Schmuck , K. S. Thejaswini , Irmak Sağlam , Satya Prakash Nayak