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Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

We investigate uniformity properties of strategies. These properties involve sets of plays in order to express useful constraints on strategies that are not \mu-calculus definable. Typically, we can state that a strategy is…

Computer Science and Game Theory · Computer Science 2013-03-05 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli

We propose Teamwork Synthesis, a version of the distributed synthesis problem with application to teamwork multi-agent systems. We reformulate the distributed synthesis question by dropping the fixed interaction architecture among agents as…

Logic in Computer Science · Computer Science 2023-05-15 Yehia Abd Alrahman , Nir Piterman

The distributed synthesis problem is about constructing cor- rect distributed systems, i.e., systems that satisfy a given specification. We consider a slightly more general problem of distributed control, where the goal is to restrict the…

Logic in Computer Science · Computer Science 2014-07-21 Anca Muscholl , Igor Walukiewicz

We introduce a formalism modelling communication of distributed agents strictly in continuous-time. Within this framework, we study the problem of synthesising local strategies for individual agents such that a specified set of goal states…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-08 Holger Hermanns , Jan Krčál , Steen Vester

We consider two-player games with imperfect information and the synthesis of a randomized strategy for one player that ensures the objective is satisfied almost-surely (i.e., with probability 1), regardless of the strategy of the other…

Computer Science and Game Theory · Computer Science 2024-07-30 Laurent Doyen , Thomas Soullard

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

We lay out a model of games with imperfect information that features explicit communication actions, by which the entire observation history of a player is revealed to another player. Such full-information protocols are common in…

Logic in Computer Science · Computer Science 2024-02-14 Dietmar Berwanger , Laurent Doyen , Thomas Soullard

Infinite games where several players seek to coordinate under imperfect information are deemed to be undecidable, unless the information is hierarchically ordered among the players. We identify a class of games for which joint winning…

Computer Science and Game Theory · Computer Science 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

The problem of distributed synthesis is to automatically generate a distributed algorithm, given a target communication network and a specification of the algorithm's correct behavior. Previous work has focused on static networks with an a…

Formal Languages and Automata Theory · Computer Science 2020-09-24 Béatrice Bérard , Benedikt Bollig , Patricia Bouyer , Matthias Függer , Nathalie Sznajder

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. In games under delayed control both players suffer from partial informedness due to symmetrically delayed…

Computer Science and Game Theory · Computer Science 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

In this paper, we present an approach for fault-tolerant synthesis by combining predefined patterns for fault-tolerance with algorithmic game solving. A non-fault-tolerant system, together with the relevant fault hypothesis and…

Computer Science and Game Theory · Computer Science 2010-11-02 Chih-Hong Cheng , Harald Ruess , Alois Knoll , Christian Buckl

This paper introduces a sampling-based strategy synthesis algorithm for nondeterministic hybrid systems with complex continuous dynamics under temporal and reachability constraints. We model the evolution of the hybrid system as a…

Systems and Control · Electrical Eng. & Systems 2023-12-27 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek an appropriate (e.g., winning or optimal) strategy for the…

Logic in Computer Science · Computer Science 2025-09-05 Mickael Randour

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton, and one of the players can elapse time. We perform a systematic study of synthesis…

Formal Languages and Automata Theory · Computer Science 2026-01-09 Sławomir Lasota , Mathieu Lehaut , Julie Parreaux , Radosław Piórkowski

Reactive synthesis is a framework for modeling and automatically synthesizing strategies in robotics, typically through computing a \emph{winning} strategy in a 2-player game between the robot and the environment. Winning strategies,…

Robotics · Computer Science 2024-10-14 Karan Muvvala , Morteza Lahijanian

We consider the problem of distributing a centralised transition system to a set of asynchronous agents recognising the same language. Existing solutions are either manual or involve a huge explosion in the number of states from the…

Logic in Computer Science · Computer Science 2025-05-29 Yehia Abd Alrahman , Nir Piterman

What is a finite-state strategy in a delay game? We answer this surprisingly non-trivial question and present a very general framework for computing such strategies: they exist for all winning conditions that are recognized by automata with…

Computer Science and Game Theory · Computer Science 2017-09-13 Martin Zimmermann

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…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin
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