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We analyse the computational complexity of finding Nash equilibria in turn-based stochastic multiplayer games with omega-regular objectives. We show that restricting the search space to equilibria whose payoffs fall into a certain interval…

Computer Science and Game Theory · Computer Science 2015-07-01 Michael Ummels , Dominik Wojtczak

Parametric Timed Games (PTG) are an extension of the model of Timed Automata. They allow for the verification and synthesis of real-time systems, reactive to their environmeand depending on adjustable parameters. Given a PTG and a…

Formal Languages and Automata Theory · Computer Science 2024-01-23 Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci , Jaco van de Pol

The problem of computing a common point that lies in the intersection of a finite number of closed convex sets, each known to one agent in a network, is studied. This issue, known as the distributed convex feasibility problem or the…

Multiagent Systems · Computer Science 2020-08-11 Dimitris Ampeliotis , Kostas Berberidis

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…

Computer Science and Game Theory · Computer Science 2013-06-21 Krishnendu Chatterjee

We lay out a general method for computing branching distances between labeled transition systems. We translate the quantitative games used for defining these distances to other, path-building games which are amenable to methods from the…

Logic in Computer Science · Computer Science 2019-10-22 Uli Fahrenberg , Axel Legay , Karin Quaas

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…

Computer Science and Game Theory · Computer Science 2020-02-18 Thomas Brihaye , Gilles Geeraerts , Shankara Narayanan Krishna , Lakshmi Manasa , Benjamin Monmege , Ashutosh Trivedi

We present a polynomial-time reduction from max-plus-average constraints to the feasibility problem for semidefinite programs. This shows that Condon's simple stochastic games, stochastic mean payoff games, and in particular mean payoff…

Optimization and Control · Mathematics 2025-12-03 Manuel Bodirsky , Georg Loho , Mateusz Skomra

The paper deals with finite-state Markov decision processes (MDPs) with integer weights assigned to each state-action pair. New algorithms are presented to classify end components according to their limiting behavior with respect to the…

Logic in Computer Science · Computer Science 2018-05-01 Christel Baier , Nathalie Bertrand , Clemens Dubslaff , Daniel Gburek , Ocan Sankur

We study two-player zero-sum games over infinite-state graphs with boundedness conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state…

Computer Science and Game Theory · Computer Science 2013-04-23 Krishnendu Chatterjee , Nathanaël Fijalkow

In this paper we survey the computational time complexity of assorted simple stochastic game problems, and we give an overview of the best known algorithms associated with each problem.

Computational Complexity · Computer Science 2007-05-23 Jonas Dieckelmann

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…

Computer Science and Game Theory · Computer Science 2021-09-20 Tobias Winkler , Maximilian Weininger

We introduce a formal notion of masking fault-tolerance between probabilistic transition systems using stochastic games. These games are inspired in bisimulation games, but they also take into account the possible faulty behavior of…

Logic in Computer Science · Computer Science 2023-09-15 Pablo F. Castro , Pedro R. D'Argenio , Ramiro Demasi , Luciano Putruele

We consider some well-known families of two-player, zero-sum, perfect information games that can be viewed as special cases of Shapley's stochastic games. We show that the following tasks are polynomial time equivalent: - Solving simple…

Computer Science and Game Theory · Computer Science 2008-12-03 Vladimir Gurvich , Peter Bro Miltersen

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

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…

Logic in Computer Science · Computer Science 2024-11-05 Stephan Spengler

Validating and controlling safety-critical systems in uncertain environments necessitates probabilistic reachable sets of future state evolutions. The existing methods of computing probabilistic reachable sets normally assume that…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Xun Shen , Ye Wang , Kazumune Hashimoto , Yuhu Wu , Sebastien Gros

We study the complexity of computing equilibria in two classes of network games based on flows - fractional BGP (Border Gateway Protocol) games and fractional BBC (Bounded Budget Connection) games. BGP is the glue that holds the Internet…

Computer Science and Game Theory · Computer Science 2008-12-05 Laura J. Poplawski , Rajmohan Rajaraman , Ravi Sundaram , Shang-Hua Teng

We investigate the increasingly important and common game-solving setting where we do not have an explicit description of the game but only oracle access to it through gameplay, such as in financial or military simulations and computer…

Artificial Intelligence · Computer Science 2020-02-26 Carlos Martin , Tuomas Sandholm

In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

Computer Science and Game Theory · Computer Science 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

We study the problem of deciding the winner of reachability switching games for zero-, one-, and two-player variants. Switching games provide a deterministic analogue of stochastic games. We show that the zero-player case is NL-hard, the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 John Fearnley , Martin Gairing , Matthias Mnich , Rahul Savani
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