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An algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm is also applied to find the closest WPG for a given finite game. The concept and criterion…

计算机科学与博弈论 · 计算机科学 2021-06-24 Daizhan Cheng , Zhengping Ji

In this paper, we first formalize the problem to be solved, i.e., the Scatter Problem (SP). We then show that SP cannot be deterministically solved. Next, we propose a randomized algorithm for this problem. The proposed solution is…

分布式、并行与集群计算 · 计算机科学 2016-08-14 Yoann Dieudonné , Franck Petit

Winning probabilities of The Hat Game (Ebert's Hat Problem) with three players and three colors are only known in the symmetric case: all probabilities of the colors are equal. This paper solves the asymmetric case: probabilities may be…

组合数学 · 数学 2021-11-25 Theo van Uem

Energy parity games are infinite two-player turn-based games played on weighted graphs. The objective of the game combines a (qualitative) parity condition with the (quantitative) requirement that the sum of the weights (i.e., the level of…

计算机科学中的逻辑 · 计算机科学 2012-04-04 Krishnendu Chatterjee , Laurent Doyen

We introduce a way to parameterize automata and games on finite graphs with natural numbers. The parameters are accessed essentially by allowing counting down from the parameter value to 0 and branching depending on whether 0 has been…

计算机科学与博弈论 · 计算机科学 2018-09-11 Arno Pauly

Dynamic game arises as a powerful paradigm for multi-robot planning, for which safety constraint satisfaction is crucial. Constrained stochastic games are of particular interest, as real-world robots need to operate and satisfy constraints…

机器人学 · 计算机科学 2026-03-27 Hai Zhong , Yutaka Shimizu , Jianyu Chen

The window mechanism, introduced by Chatterjee et al. for mean-payoff and total-payoff objectives in two-player turn-based games on graphs, refines long-term objectives with time bounds. This mechanism has proven useful in a variety of…

计算机科学与博弈论 · 计算机科学 2022-05-10 James C. A. Main , Mickael Randour , Jeremy Sproston

Lucky imaging is a high-resolution astronomical image recovery technique with two classic implementation algorithms, i.e. image selecting, shifting and adding in image space and data selecting and image synthesizing in Fourier space. This…

天体物理仪器与方法 · 物理学 2021-06-23 Jinliang Wang , Binhua Li , Xiliang Zhang

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

形式语言与自动机理论 · 计算机科学 2022-03-02 Martin Zimmermann

This paper has a twofold scope. The first one is to clarify and put in evidence the isomorphic character of two theories developed in quite different fields: on one side, threshold logic, on the other side, simple games. One of the main…

计算机科学与博弈论 · 计算机科学 2017-07-10 Josep Freixas , Marc Freixas , Sascha Kurz

This paper presents a novel stochastic gradient descent algorithm for constrained optimization. The proposed algorithm randomly samples constraints and components of the finite sum objective function and relies on a relaxed logarithmic…

最优化与控制 · 数学 2025-05-13 Naum Dimitrieski , Jing Cao , Christian Ebenbauer

We propose a novel non-randomized anytime orienteering algorithm for finding k-optimal goals that maximize reward on a specialized graph with budget constraints. This specialized graph represents a real-world scenario which is analogous to…

人工智能 · 计算机科学 2020-11-03 Abhinav Sharma , Advait Deshpande , Yanming Wang , Xinyi Xu , Prashan Madumal , Anbin Hou

Games on graphs provide a natural and powerful model for reactive systems. In this paper, we consider generalized reachability objectives, defined as conjunctions of reachability objectives. We first prove that deciding the winner in such…

计算复杂性 · 计算机科学 2012-02-06 Nathanaël Fijalkow , Florian Horn

Balancing an ever growing strategic game of high complexity, such as Hearthstone is a complex task. The target of making strategies diverse and customizable results in a delicate intricate system. Tuning over 2000 cards to generate the…

We consider graph games of infinite duration with winning conditions in parameterized linear temporal logic, where the temporal operators are equipped with variables for time bounds. In model checking such specifications were introduced as…

计算机科学与博弈论 · 计算机科学 2011-06-08 Martin Zimmermann

Stochastic games are a natural model for the synthesis of controllers confronted to adversarial and/or random actions. In particular, $\omega$-regular games of infinite length can represent reactive systems which are not expected to reach a…

计算机科学与博弈论 · 计算机科学 2009-02-17 Florian Horn

We consider a constrained optimization problem arising from the study of the Helmholtz equation in unbounded domains. The optimization problem provides an approximation of the solution in a bounded computational domain. In this paper we…

偏微分方程分析 · 数学 2015-01-09 Giulio Ciraolo

Stackelberg Games are gaining importance in the last years due to the raise of Adversarial Machine Learning (AML). Within this context, a new paradigm must be faced: in classical game theory, intervening agents were humans whose decisions…

计算机科学与博弈论 · 计算机科学 2019-10-25 Roi Naveiro , David Ríos Insua

We study stochastic games with energy-parity objectives, which combine quantitative rewards with a qualitative $\omega$-regular condition: The maximizer aims to avoid running out of energy while simultaneously satisfying a parity condition.…

计算机科学与博弈论 · 计算机科学 2021-01-19 Richard Mayr , Sven Schewe , Patrick Totzke , Dominik Wojtczak

This paper is devoted to the variational inequality problems. We consider two classes of problems, the first is classical constrained variational inequality and the second is the same problem with functional (inequality type) constraints.…