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Mean-payoff games play a central role in quantitative synthesis and verification. In a single-dimensional game a weight is assigned to every transition and the objective of the protagonist is to assure a non-negative limit-average weight.…

计算机科学中的逻辑 · 计算机科学 2014-10-22 Yaron Velner

Parikh's game logic is a PDL-like fixpoint logic interpreted on monotone neighbourhood frames that represent the strategic power of players in determined two-player games. Game logic translates into a fragment of the monotone…

计算机科学中的逻辑 · 计算机科学 2017-09-05 Helle Hvid Hansen , Clemens Kupke , Johannes Marti , Yde Venema

We introduce a way to parameterize automata and games on finite graphs with natural numbers. The parameters are accessed essentially by allowing counting down from the parameter value to 0 and branching depending on whether 0 has been…

计算机科学与博弈论 · 计算机科学 2018-09-11 Arno Pauly

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

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

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

The computation of the winning set for parity objectives and for Streett objectives in graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong…

数据结构与算法 · 计算机科学 2019-03-14 Krishnendu Chatterjee , Monika Henzinger , Veronika Loitzenbauer

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we study the design of incentives so that a desirable equilibrium is obtained, for instance,…

计算机科学与博弈论 · 计算机科学 2021-06-21 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

We develop value iteration-based algorithms to solve in a unified manner different classes of combinatorial zero-sum games with mean-payoff type rewards. These algorithms rely on an oracle, evaluating the dynamic programming operator up to…

计算机科学与博弈论 · 计算机科学 2024-11-12 Xavier Allamigeon , Stéphane Gaubert , Ricardo D. Katz , Mateusz Skomra

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

计算机科学与博弈论 · 计算机科学 2021-09-20 Tobias Winkler , Maximilian Weininger

Priced timed games (PTGs) are two-player zero-sum games played on the infinite graph of configurations of priced timed automata where two players take turns to choose transitions in order to optimize cost to reach target states. Bouyer et…

计算机科学与博弈论 · 计算机科学 2020-02-18 Thomas Brihaye , Gilles Geeraerts , Shankara Narayanan Krishna , Lakshmi Manasa , Benjamin Monmege , Ashutosh Trivedi

Calude et al. have recently shown that parity games can be solved in quasi-polynomial time, a landmark result that has led to a number of approaches with quasi-polynomial complexity. Jurdinski and Lasic have further improved the precise…

数据结构与算法 · 计算机科学 2022-11-18 Daniele Dell'Erba , Sven Schewe

In recent years, there has been a growing interest in games on graphs within the research community, fueled by their relevance in applications such as economics, politics, and epidemiology. This paper aims to comprehensively detail the…

计算机科学与博弈论 · 计算机科学 2024-06-11 Christian Giannetti

We consider two-player partial-observation stochastic games on finite-state graphs where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are \omega-regular conditions specified as parity…

计算机科学中的逻辑 · 计算机科学 2014-01-15 Krishnendu Chatterjee , Laurent Doyen , Sumit Nain , Moshe Y. Vardi

We study the computational complexity of solving mean payoff games. This class of games can be seen as an extension of parity games, and they have similar complexity status: in both cases solving them is in $\textbf{NP} \cap \textbf{coNP}$…

计算机科学与博弈论 · 计算机科学 2019-02-06 Nathanaël Fijalkow , Paweł Gawrychowski , Pierre Ohlmann

We consider concurrent mean-payoff games, a very well-studied class of two-player (player 1 vs player 2) zero-sum games on finite-state graphs where every transition is assigned a reward between 0 and 1, and the payoff function is the…

计算机科学与博弈论 · 计算机科学 2014-10-02 Krishnendu Chatterjee , Rasmus Ibsen-Jensen

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the accumulated weight while reaching a target. Weighted timed games are notoriously difficult and…

计算机科学与博弈论 · 计算机科学 2018-12-05 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

We consider two-player stochastic games played on a finite state space for an infinite number of rounds. The games are concurrent: in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously;…

计算机科学与博弈论 · 计算机科学 2012-01-04 Krishnendu Chatterjee

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

形式语言与自动机理论 · 计算机科学 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

计算复杂性 · 计算机科学 2022-07-21 Tobias Winkler , Maximilian Weininger

We consider concurrent games played on graphs. At every round of the 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 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger