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We introduce and study Minkowski games. These are two player games, where the players take turns to chose positions in $\mathbb{R}^d$ based on some rules. Variants include boundedness games, where one player wants to keep the positions…

计算机科学与博弈论 · 计算机科学 2016-11-28 Stéphane Le Roux , Arno Pauly , Jean-François Raskin

The performance of two pivoting algorithms, due to Lemke and Cottle and Dantzig, is studied on linear complementarity problems (LCPs) that arise from infinite games, such as parity, average-reward, and discounted games. The algorithms have…

计算机科学与博弈论 · 计算机科学 2020-01-16 John Fearnley , Marcin Jurdziński , Rahul Savani

We study turn-based quantitative games of infinite duration opposing two antagonistic players and played over graphs. This model is widely accepted as providing the adequate framework for formalizing the synthesis question for reactive…

计算机科学与博弈论 · 计算机科学 2023-06-22 Pierre Ohlmann

Hedonic games provide a natural model of coalition formation among self-interested agents. The associated problem of finding stable outcomes in such games has been extensively studied. In this paper, we identify simple conditions on…

计算机科学与博弈论 · 计算机科学 2015-07-14 Dominik Peters , Edith Elkind

We consider two-player games over finite graphs in which both players are restricted by fairness constraints on their moves. Given a two player game graph $G=(V,E)$ and a set of fair moves $E_f\subseteq E$ a player is said to play "fair" in…

计算机科学与博弈论 · 计算机科学 2026-05-12 Daniel Hausmann , Nir Piterman , Irmak Sağlam , Anne-Kathrin Schmuck

We construct witnesses that can be used to derive strategies in fixpoint games and provide proof that the least fixpoint of a function is either above or not below some given bound. We rely on a lattice-theoretical approach, including a…

计算机科学中的逻辑 · 计算机科学 2026-03-13 Barbara König , Karla Messing

In recent work, Watanabe, Eberhart, Asada, and Hasuo have shown that parity games can be seen as string diagrams, that is, as the morphisms of a symmetric monoidal category, an algebraic structure with two different operations of…

计算机科学中的逻辑 · 计算机科学 2025-01-31 Robin Piedeleu

Blackwell games are infinite games of imperfect information. The two players simultaneously make their moves, and are then informed of each other's moves. Payoff is determined by a Borel measurable function $f$ on the set of possible…

逻辑 · 数学 2009-09-25 Marco R. Vervoort

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…

计算机科学与博弈论 · 计算机科学 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

Repeated games are useful models to analyze long term interactions of living species and complex social phenomena. Zero-determinant (ZD) strategies in repeated games discovered by Press and Dyson in 2012 enforce a linear payoff relationship…

种群与进化 · 定量生物学 2021-06-29 Azumi Mamiya , Daiki Miyagawa , Genki Ichinose

We analyse an algorithm solving stochastic mean-payoff games, combining the ideas of relative value iteration and of Krasnoselskii-Mann damping. We derive parameterized complexity bounds for several classes of games satisfying…

最优化与控制 · 数学 2023-05-05 Marianne Akian , Stéphane Gaubert , Ulysse Naepels , Basile Terver

Additively separable hedonic games and fractional hedonic games have received considerable attention. They are coalition forming games of selfish agents based on their mutual preferences. Most of the work in the literature characterizes the…

人工智能 · 计算机科学 2017-06-29 Michele Flammini , Gianpiero Monaco , Qiang Zhang

We study the process theoretic notion of stuttering equivalence in the setting of parity games. We demonstrate that stuttering equivalent vertices have the same winner in the parity game. This means that solving a parity game can be…

计算机科学中的逻辑 · 计算机科学 2025-08-08 Sjoerd Cranen , Jeroen J. A. Keiren , Tim A. C. Willemse

I prove that it is irrational for agents with even slightly private preferences to condition their strategy on private information that is payoff-irrelevant to them, contrary to powerful techniques for analyzing communication and repeated…

理论经济学 · 经济学 2026-05-29 Alistair Barton

We consider quantitative notions of parity automaton and parity game aimed at modelling resource-aware behaviour, and study (memory-full) strategies for exhibiting accepting runs that require a minimum amount of initial resources,…

计算机科学中的逻辑 · 计算机科学 2019-09-18 Corina Cîrstea

So-called separation automata are in the core of several recently invented quasi-polynomial time algorithms for parity games. An explicit $q$-state separation automaton implies an algorithm for parity games with running time polynomial in…

形式语言与自动机理论 · 计算机科学 2019-09-27 Alexander Kozachinskiy , Mikhail Vyalyi

We investigate optimal decision making under imperfect recall, that is, when an agent forgets information it once held before. An example is the absentminded driver game, as well as team games in which the members have limited communication…

计算机科学与博弈论 · 计算机科学 2024-06-25 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Manolis Zampetakis , Tuomas Sandholm , Paul W. Goldberg , Vincent Conitzer

We use a recently discovered constrained de Finetti reduction (aka "Post-Selection Lemma") to study the parallel repetition of multi-player non-local games under no-signalling strategies. Since the technique allows us to reduce general…

量子物理 · 物理学 2016-10-04 Cécilia Lancien , Andreas Winter

In several decision-making problems, alternatives should be ranked on the basis of paired comparisons between them. We present an axiomatic approach for the universal ranking problem with arbitrary preference intensities, incomplete and…

计算机科学与博弈论 · 计算机科学 2019-04-10 László Csató

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