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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…

计算机科学与博弈论 · 计算机科学 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on {\it lossy channel systems}, under the constraint that both players are restricted to finite-memory strategies. First, we describe a general…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

形式语言与自动机理论 · 计算机科学 2016-01-08 Daniel Neider , Ufuk Topcu

Artificial intelligence and robotic competitions are accompanied by a class of game paradigms in which each player privately commits a strategy to a game system which simulates the game using the collected joint strategy and then returns…

计算机科学与博弈论 · 计算机科学 2022-04-28 Rui Yan , Weixian Zhang , Ruiliang Deng , Xiaoming Duan , Zongying Shi , Yisheng Zhong

We study positional properties in the context of game-based reactive synthesis. Our motivation stems from having a usable specification logic, for which tractable synthesis is guaranteed. We demonstrate that every $\omega$-regular…

计算机科学中的逻辑 · 计算机科学 2026-04-29 Jessica Newman , Benjamin Plummer

The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful in building rankings. Intransitive preferences are considered…

量子物理 · 物理学 2015-06-23 Marcin Makowski , Edward W. Piotrowski , Jan Sładkowski

Regular games form a well-established class of games for analysis and synthesis of reactive systems. They include coloured Muller games, McNaughton games, Muller games, Rabin games, and Streett games. These games are played on directed…

计算机科学与博弈论 · 计算机科学 2024-05-14 Zihui Liang , Bakh Khoussainov , Mingyu Xiao

We study infinite asymptotic games in Banach spaces with an F.D.D. and prove that analytic games are determined by characterising precisely the conditions for the players to have winning strategies. These results are applied to characterise…

泛函分析 · 数学 2008-10-24 Christian Rosendal

In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in…

计算机科学与博弈论 · 计算机科学 2010-04-26 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

In a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. Traditionally, the players alternate turns in moving the token. In {\em bidding…

理论经济学 · 经济学 2020-12-22 Guy Avni , Ismaël Jecker , Đorđe Žikelić

We present a novel method to compute \emph{permissive winning strategies} in two-player games over finite graphs with $ \omega $-regular winning conditions. Given a game graph $G$ and a parity winning condition $\Phi$, we compute a…

计算机科学与博弈论 · 计算机科学 2024-01-23 Ashwani Anand , Satya Prakash Nayak , Anne-Kathrin Schmuck

Games on recursive game graphs can be used to reason about the control flow of sequential programs with recursion. In games over recursive game graphs, the most natural notion of strategy is the modular strategy, i.e., a strategy that is…

计算机科学中的逻辑 · 计算机科学 2014-08-27 Ilaria De Crescenzo , Salvatore La Torre , Yaron Velner

Motivated by the success of domination games and by a variation of the coloring game called the indicated coloring game, we introduce a version of domination games called the indicated domination game. It is played on an arbitrary graph $G$…

组合数学 · 数学 2024-03-28 Boštjan Brešar , Csilla Bujtás , Vesna Iršič , Douglas F. Rall , Zsolt Tuza

Evolutionary game theory is a powerful mathematical framework to study how intelligent individuals adjust their strategies in collective interactions. It has been widely believed that it is impossible to unilaterally control players'…

最优化与控制 · 数学 2021-08-31 Renfei Tan , Qi Su , Bin Wu , Long Wang

Zero-determinant (ZD) strategies, a recently found novel class of strategies in repeated games, has attracted much attention in evolutionary game theory. A ZD strategy unilaterally enforces a linear relation between average payoffs of…

计算机科学与博弈论 · 计算机科学 2020-04-08 Masahiko Ueda , Toshiyuki Tanaka

We study multi-player games with perfect information and general payoff function, where the set of stages is the set of non-positive integers $\{\ldots,-2,-1,0\}$. We define two related equilibrium concepts: one considering only deviations…

最优化与控制 · 数学 2025-12-02 Galit Ashkenazi-Golan , János Flesch , Eilon Solan

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

计算机科学与博弈论 · 计算机科学 2018-09-12 Alexander Weinert

The notion of homomorphism indistinguishability offers a combinatorial framework for characterizing equivalence relations of graphs, in particular equivalences in counting logics within finite model theory. That is, for certain graph…

计算机科学中的逻辑 · 计算机科学 2025-06-26 Georg Schindling

We define and analyze the notion of variational Wardrop equilibrium for nonatomic aggregative games with an infinity of players types. These equilibria are characterized through an infinite-dimensional variational inequality. We show, under…

最优化与控制 · 数学 2019-06-06 Paulin Jacquot , Cheng Wan

Imitation is simple behavior which uses successful actions of others in order to deal with one's own problems. Because success of imitation generally depends on whether profit of an imitating agent coincides with those of other agents or…

物理与社会 · 物理学 2023-01-23 Masahiko Ueda