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Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. We consider delay games with winning conditions expressed in weak monadic second order logic with…

Computer Science and Game Theory · Computer Science 2015-09-25 Martin Zimmermann

Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. For $\omega$-regular winning conditions it is known that such games can be solved in…

Computer Science and Game Theory · Computer Science 2018-03-30 Felix Klein , Martin Zimmermann

Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. We consider delay games with winning conditions expressed in weak monadic second order logic with…

Computer Science and Game Theory · Computer Science 2016-01-28 Martin Zimmermann

Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. Recently, such games with quantitative winning conditions in weak MSO with the unbounding…

Computer Science and Game Theory · Computer Science 2016-10-11 Felix Klein , Martin Zimmermann

We investigate determinacy of delay games with Borel winning conditions, infinite-duration two-player games in which one player may delay her moves to obtain a lookahead on her opponent's moves. First, we prove determinacy of such games…

Logic in Computer Science · Computer Science 2015-04-13 Felix Klein , Martin Zimmermann

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

The winning condition of a parity game with costs requires an arbitrary, but fixed bound on the cost incurred between occurrences of odd colors and the next occurrence of a larger even one. Such games quantitatively extend parity games…

Logic in Computer Science · Computer Science 2023-06-22 Alexander Weinert , Martin Zimmermann

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

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

We show that solving delay games with winning conditions given by deterministic and nondeterministic weak Muller automata is 2EXPTIME-complete respectively 3EXPTIME-complete. Furthermore, doubly and triply exponential lookahead is necessary…

Formal Languages and Automata Theory · Computer Science 2022-10-20 Sarah Winter , Martin Zimmermann

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. Our main result, the interreducibility of the existence of sure winning strategies for the protagonist,…

Computer Science and Game Theory · Computer Science 2023-10-03 Martin Fränzle , Sarah Winter , Martin Zimmermann

What is a finite-state strategy in a delay game? We answer this surprisingly non-trivial question by presenting a very general framework that allows to remove delay: finite-state strategies exist for all winning conditions where the…

Computer Science and Game Theory · Computer Science 2019-12-16 Sarah Winter , Martin Zimmermann

Quantitative extensions of parity games have recently attracted significant interest. These extensions include parity games with energy and payoff conditions as well as finitary parity games and their generalization to parity games with…

Computer Science and Game Theory · Computer Science 2023-06-22 Sven Schewe , Alexander Weinert , Martin Zimmermann

Parity games are two-player infinite-duration games on graphs that play a crucial role in various fields of theoretical computer science. Finding efficient algorithms to solve these games in practice is widely acknowledged as a core problem…

Computer Science and Game Theory · Computer Science 2016-09-15 Massimo Benerecetti , Daniele Dell'Erba , Fabio Mogavero

We present an exponential-time algorithm approximating the minimal lookahead necessary to win an $\omega$-regular delay game.

Formal Languages and Automata Theory · Computer Science 2022-03-02 Martin Zimmermann

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

Condensed Matter · Physics 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

We consider two-player games played on finite graphs equipped with costs on edges and introduce two winning conditions, cost-parity and cost-Streett, which require bounds on the cost between requests and their responses. Both conditions…

Logic in Computer Science · Computer Science 2015-07-01 Nathanaël Fijalkow , Martin Zimmermann

Limited lookahead has been studied for decades in perfect-information games. We initiate a new direction via two simultaneous deviation points: generalization to imperfect-information games and a game-theoretic approach. We study how one…

Computer Science and Game Theory · Computer Science 2020-03-20 Christian Kroer , Tuomas Sandholm

We introduce a novel framework to model limited lookahead in congestion games. Intuitively, the players enter the game sequentially and choose an optimal action under the assumption that the $k-1$ subsequent players play subgame-perfectly.…

Computer Science and Game Theory · Computer Science 2018-04-20 Carla Groenland , Guido Schäfer

We investigate a coordination model for a two-stage collective decision-making problem within the framework of global games. The agents observe noisy signals of a shared random variable, referred to as the fundamental, which determines the…

Computer Science and Game Theory · Computer Science 2026-04-08 Shinkyu Park , Behrouz Touri , Marcos M. Vasconcelos
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