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Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

计算机科学与博弈论 · 计算机科学 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

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 concurrent games played on graphs. At every round of a 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 2008-09-25 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

最优化与控制 · 数学 2019-08-05 Jinlong Lei , Uday V. Shanbhag

We study two player reachability-price games on single-clock timed automata. The problem is as follows: given a state of the automaton, determine whether the first player can guarantee reaching one of the designated goal locations. If a…

计算机科学与博弈论 · 计算机科学 2011-07-07 Michal Rutkowski

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton with epsilon transitions and only Player I can elapse time. We show that for fixed number…

形式语言与自动机理论 · 计算机科学 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

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

Simple stochastic games are turn-based 2.5-player zero-sum graph games with a reachability objective. The problem is to compute the winning probability as well as the optimal strategies of both players. In this paper, we compare the three…

计算机科学与博弈论 · 计算机科学 2020-09-24 Jan Křetínský , Emanuel Ramneantu , Alexander Slivinskiy , Maximilian Weininger

We consider multiplayer stochastic games in which the payoff of each player is a bounded and Borel-measurable function of the infinite play. By using a generalization of the technique of Martin (1998) and Maitra and Sudderth (1998), we show…

最优化与控制 · 数学 2022-08-26 János Flesch , Eilon Solan

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, for the case where the players are restricted to finite-memory strategies. First, we describe a general framework, where…

计算机科学与博弈论 · 计算机科学 2013-06-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

This paper considers the discounted criterion of nonzero-sum decentralized stochastic games with prospect players. The state and action spaces are finite. The state transition probability is nonstationary. Each player independently controls…

最优化与控制 · 数学 2024-05-16 Yiting Wu , Junyu Zhang

We study countably infinite stochastic 2-player games with reachability objectives. Our results provide a complete picture of the memory requirements of $\varepsilon$-optimal (resp. optimal) strategies. These results depend on the size of…

计算机科学与博弈论 · 计算机科学 2024-07-03 Stefan Kiefer , Richard Mayr , Mahsa Shirmohammadi , Patrick Totzke

We are interested in the convergence of the value of n-stage games as n goes to infinity and the existence of the uniform value in stochastic games with a general set of states and finite sets of actions where the transition is commutative.…

最优化与控制 · 数学 2016-04-22 Xavier Venel

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

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

计算机科学与博弈论 · 计算机科学 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

We consider two-player zero-sum concurrent stochastic games (CSGs) played on graphs with reachability and safety objectives. These include degenerate classes such as Markov decision processes or turn-based stochastic games, which can be…

计算机科学中的逻辑 · 计算机科学 2025-09-11 Marta Grobelna , Jan Křetínský , Maximilian Weininger

In standard quantum theory, time is not an observable. It enters as a parameter in the Schr\"odinger equation, but there is no measurement operator associated to it. Nevertheless, one may take an operational viewpoint and regard time as the…

量子物理 · 物理学 2018-06-26 Sandra Stupar , Christian Klumpp , Renato Renner , Nicolas Gisin

We introduce two-level discounted games played by two players on a perfect-information stochastic game graph. The upper level game is a discounted game and the lower level game is an undiscounted reachability game. Two-level games model…

计算机科学中的逻辑 · 计算机科学 2010-06-09 Krishnendu Chatterjee , Rupak Majumdar

This article deals with classes of antagonistic games with two players. A game is specified in terms of two `hostile' stochastic processes representing mutual attacks upon random times exerting casualties of random magnitudes. The game ends…

概率论 · 数学 2019-01-23 J. H. Dshalalow , K. Iwezulu , R. T. White

Stochastic games are a classical model in game theory in which two opponents interact and the environment changes in response to the players' behavior. The central solution concepts for these games are the discounted values and the value,…

最优化与控制 · 数学 2019-12-12 Miquel Oliu-Barton