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Related papers: Revisiting Robustness in Priced Timed Games

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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

Priced timed games are two-player zero-sum games played on priced timed automata (whose locations and transitions are labeled by weights modeling the costs of spending time in a state and executing an action, respectively). The goals of the…

Computer Science and Game Theory · Computer Science 2017-04-05 Thomas Brihaye , Gilles Geeraerts , Axel Haddad , Engel Lefaucheux , Benjamin Monmege

Priced timed games are two-player zero-sum games played on priced timed automata (whose locations and transitions are labeled by weights modelling the cost of spending time in a state and executing an action, respectively). The goals of the…

Computer Science and Game Theory · Computer Science 2023-06-22 Thomas Brihaye , Gilles Geeraerts , Axel Haddad , Engel Lefaucheux , Benjamin Monmege

Weighted timed games are played by two players on a timed automaton equipped with weights: one player wants to minimise the accumulated weight while reaching a target, while the other has an opposite objective. Used in a reactive synthesis…

Computer Science and Game Theory · Computer Science 2017-02-01 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

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…

Computer Science and Game Theory · Computer Science 2011-07-07 Michal Rutkowski

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players, Player Min and Player Max, by moving a token along the states of the graph to form an infinite…

Computer Science and Game Theory · Computer Science 2020-01-16 Shibashis Guha , Marcin Jurdzinski , Krishna S. , Ashutosh Trivedi

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the cumulative weight while reaching a target. Used in a reactive synthesis perspective, this…

Logic in Computer Science · Computer Science 2023-06-22 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

The Value Problem for weighted timed games (WTGs) consists in determining, given a two-player weighted timed game with a reachability objective and a rational threshold, whether or not the value of the game exceeds the threshold. This…

Computer Science and Game Theory · Computer Science 2026-01-27 Quentin Guilmant , Joël Ouaknine , Isa Vialard

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

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

Logic in Computer Science · Computer Science 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

One-clock priced timed games is a class of two-player, zero-sum, continuous-time games that was defined and thoroughly studied in previous works. We show that one-clock priced timed games can be solved in time m 12^n n^(O(1)), where n is…

Computer Science and Game Theory · Computer Science 2013-01-15 Thomas Dueholm Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

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…

Formal Languages and Automata Theory · Computer Science 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We consider two-player games played in real time on game structures with clocks and parity objectives. The games are concurrent in that at each turn, both players independently propose a time delay and an action, and the action with the…

Logic in Computer Science · Computer Science 2008-07-09 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak Prabhu

We consider two-player games played in real time on game structures with clocks where the objectives of players are described using parity conditions. The games are \emph{concurrent} in that at each turn, both players independently propose…

Logic in Computer Science · Computer Science 2019-03-14 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak S. Prabhu

An average-time game is played on the infinite graph of configurations of a finite timed automaton. The two players, Min and Max, construct an infinite run of the automaton by taking turns to perform a timed transition. Player Min wants to…

Computer Science and Game Theory · Computer Science 2020-01-16 Marcin Jurdzinski , Ashutosh Trivedi

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

Stochastic timed games (STGs), introduced by Bouyer and Forejt, naturally generalize both continuous-time Markov chains and timed automata by providing a partition of the locations between those controlled by two players (Player Box and…

Logic in Computer Science · Computer Science 2016-07-20 S Akshay , Patricia Bouyer , Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

Weighted timed games are two-player zero-sum games played in a timed automaton equipped with integer weights. We consider optimal reachability objectives, in which one of the players, that we call Min, wants to reach a target location while…

Computer Science and Game Theory · Computer Science 2025-03-05 Benjamin Monmege , Julie Parreaux , Pierre-Alain Reynier

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the accumulated weight while reaching a target. Weighted timed games are notoriously difficult and…

Computer Science and Game Theory · Computer Science 2018-12-05 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier
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