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We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

Two-player games on graphs is central in many problems in formal verification and program analysis such as synthesis and verification of open systems. In this work we consider solving recursive game graphs (or pushdown game graphs) that can…

Logic in Computer Science · Computer Science 2016-05-17 Krishnendu Chatterjee , Yaron Velner

We study 2-player zero-sum concurrent (i.e., simultaneous move) stochastic B\"uchi games and Transience games on countable graphs. Two players, Max and Min, seek respectively to maximize and minimize the probability of satisfying the game…

Computer Science and Game Theory · Computer Science 2025-06-23 Stefan Kiefer , Richard Mayr , Mahsa Shirmohammadi , Patrick Totzke

2.5 player parity games combine the challenges posed by 2.5 player reachability games and the qualitative analysis of parity games. These two types of problems are best approached with different types of algorithms: strategy improvement…

Logic in Computer Science · Computer Science 2016-07-07 Ernst Moritz Hahn , Sven Schewe , Andrea Turrini , Lijun Zhang

We study strategy improvement algorithms for solving parity games. While these algorithms are known to solve parity games using a very small number of iterations, experimental studies have found that a high step complexity causes them to…

Data Structures and Algorithms · Computer Science 2017-05-08 John Fearnley

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

In a reachability-time game, players Min and Max choose moves so that the time to reach a final state in a timed automaton is minimised or maximised, respectively. Asarin and Maler showed decidability of reachability-time games on strongly…

Computational Complexity · Computer Science 2020-01-16 Marcin Jurdziński , Ashutosh Trivedi

We study Recursive Concurrent Stochastic Games (RCSGs), extending our recent analysis of recursive simple stochastic games to a concurrent setting where the two players choose moves simultaneously and independently at each state. For…

Computer Science and Game Theory · Computer Science 2015-07-01 Kousha Etessami , Mihalis Yannakakis

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…

Computer Science and Game Theory · Computer Science 2022-11-28 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

Strategic deception is an act of manipulating the opponent's perception to gain strategic advantages. In this paper, we study synthesis of deceptive winning strategies in two-player turn-based zero-sum reachability games on graphs with…

Computer Science and Game Theory · Computer Science 2021-04-26 Abhishek N. Kulkarni , Jie Fu

We consider games played on the transtion 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…

Computer Science and Game Theory · Computer Science 2024-06-05 Stephan Spengler

We introduce a discrete-time search game, in which two players compete to find an object first. The object moves according to a time-varying Markov chain on finitely many states. The players know the Markov chain and the initial probability…

Computer Science and Game Theory · Computer Science 2020-08-28 Benoit Duvocelle , János Flesch , Mathias Staudigl , Dries Vermeulen

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

Priced timed games are optimal-cost reachability games played between two players---the controller and the environment---by moving a token along the edges of infinite graphs of configurations of priced timed automata. The goal of the…

Logic in Computer Science · Computer Science 2015-07-22 Shibashis Guha , Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

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…

Computer Science and Game Theory · Computer Science 2020-07-16 Abhishek N. Kulkarni , Jie Fu

We study concurrent stochastic reachability games played on finite graphs. Two players, Max and Min, seek respectively to maximize and minimize the probability of reaching a set of target states. We prove that Max has a memoryless strategy…

Logic in Computer Science · Computer Science 2024-01-25 Stefan Kiefer , Richard Mayr , Mahsa Shirmohammadi , Patrick Totzke

We consider discrete-time Markov decision processes in which the decision maker is interested in long but finite horizons. First we consider reachability objective: the decision maker's goal is to reach a specific target state with the…

Optimization and Control · Mathematics 2019-11-14 Galit Ashkenazi-Golan , János Flesch , Arkadi Predtetchinski , Eilon Solan

In multiplayer games with sequential decision-making, self-interested players form dynamic coalitions to achieve most-preferred temporal goals beyond their individual capabilities. We introduce a novel procedure to synthesize strategies…

Computer Science and Game Theory · Computer Science 2025-01-31 A. Kaan Ata Yilmaz , Abhishek Kulkarni , Ufuk Topcu

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the properties that optimal solutions need to have, and devised a…

Data Structures and Algorithms · Computer Science 2026-03-11 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

Symmetric strategy improvement is an algorithm introduced by Schewe et al. (ICALP 2015) that can be used to solve two-player games on directed graphs such as parity games and mean payoff games. In contrast to the usual well-known strategy…

Computer Science and Game Theory · Computer Science 2023-09-06 Tom van Dijk , Georg Loho , Matthew Maat