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We prove an n-EXPTIME lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches the known upper bound for parity games on HPDA. As a consequence the…

计算机科学与博弈论 · 计算机科学 2007-05-23 Thierry Cachat , Igor Walukiewicz

We consider both finite-state game graphs and recursive game graphs (or pushdown game graphs), that can model the control flow of sequential programs with recursion, with multi-dimensional mean-payoff objectives. In pushdown games two types…

计算机科学与博弈论 · 计算机科学 2013-08-09 Krishnendu Chatterjee , Yaron Velner

Counter reachability games are played by two players on a graph with labelled edges. Each move consists in picking an edge from the current location and adding its label to a counter vector. The objective is to reach a given counter value…

计算机科学与博弈论 · 计算机科学 2013-07-22 Julien Reichert

We study deterministic games of infinite duration played on graphs and focus on the strategy complexity of quantitative objectives. Such games are known to admit optimal memoryless strategies over finite graphs, but require infinite-memory…

计算机科学与博弈论 · 计算机科学 2024-06-26 Sougata Bose , Rasmus Ibsen-Jensen , David Purser , Patrick Totzke , Pierre Vandenhove

We study two-player games on finite graphs. Turn-based games have many nice properties, but concurrent games are harder to tame: e.g. turn-based stochastic parity games have positional optimal strategies, whereas even basic concurrent…

计算机科学与博弈论 · 计算机科学 2023-11-27 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

We consider concurrent stochastic games played on graphs with reachability and safety objectives. These games can be solved by value iteration as well as strategy iteration, each of them yielding a sequence of under-approximations of the…

计算机科学与博弈论 · 计算机科学 2019-09-19 Julia Eisentraut , Jan Křetínský , Alexej Rotar

We study approachability theory in the presence of constraints. Given a repeated game with vector payoffs, we characterize the pairs of sets (A,D) in the payoff space such that Player 1 can guarantee that the long-run average payoff…

最优化与控制 · 数学 2017-12-05 Gaëtan Fournier , Eden Kuperwasser , Orin Munk , Eilon Solan , Avishay Weinbaum

We revisit Blackwell's celebrated approachability problem which considers a repeated vector-valued game between a player and an adversary. Motivated by settings in which the action set of the player or adversary (or both) is difficult to…

最优化与控制 · 数学 2025-06-17 Dan Garber , Mhna Massalha

We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable, we present a…

计算机科学中的逻辑 · 计算机科学 2014-04-23 Krishnendu Chatterjee , Laurent Doyen

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

系统与控制 · 电气工程与系统科学 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

Classical reactive synthesis approaches aim to synthesize a reactive system that always satisfies a given specifications. These approaches often reduce to playing a two-player zero-sum game where the goal is to synthesize a winning…

计算机科学与博弈论 · 计算机科学 2025-06-09 Karan Muvvala , Qi Heng Ho , Morteza Lahijanian

We study two-player zero-sum concurrent stochastic games with finite state and action space played for an infinite number of steps. In every step, the two players simultaneously and independently choose an action. Given the current state…

计算机科学与博弈论 · 计算机科学 2024-10-10 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Jakub Svoboda

We consider 2-player games played on a finite state space for infinite rounds. The games are concurrent: in each round, the two players choose their moves simultaneously; the current state and the moves determine the successor. We consider…

计算机科学与博弈论 · 计算机科学 2013-06-21 Krishnendu Chatterjee

We consider games played on the transition graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case…

计算机科学中的逻辑 · 计算机科学 2024-11-05 Stephan Spengler

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

Classic reachability games on graphs are zero-sum games, where the goal of one player, Eve, is to visit a vertex from a given target set, and that of other player, Adam, is to prevent this. Generalised reachability games, studied by…

计算机科学与博弈论 · 计算机科学 2025-09-18 Sougata Bose , Daniel Hausmann , Soumyajit Paul , Sven Schewe , Tansholpan Zhanabekova

Turn-based discounted-sum games are two-player zero-sum games played on finite directed graphs. The vertices of the graph are partitioned between player 1 and player 2. Plays are infinite walks on the graph where the next vertex is decided…

计算机科学与博弈论 · 计算机科学 2024-05-21 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Jakub Svoboda

We examine two-player games over finite weighted graphs with quantitative (mean-payoff or energy) objective, where one of the players additionally needs to satisfy a fairness objective. The specific fairness we consider is called 'strong…

计算机科学与博弈论 · 计算机科学 2025-01-30 Ashwani Anand , Satya Prakash Nayak , Ritam Raha , Irmak Sağlam , Anne-Kathrin Schmuck

Temporal graphs are a popular modelling mechanism for dynamic complex systems that extend ordinary graphs with discrete time. Simply put, time progresses one unit per step and the availability of edges can change with time. We consider the…

计算机科学中的逻辑 · 计算机科学 2024-01-30 Pete Austin , Sougata Bose , Patrick Totzke

Graph games provide the foundation for modeling and synthesis of reactive processes. Such games are played over graphs where the vertices are controlled by two adversarial players. We consider graph games where the objective of the first…

计算机科学与博弈论 · 计算机科学 2017-06-21 Krishnendu Chatterjee , Monika Henzinger , Alexander Svozil