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We study nondeterministic strategies in parity games with the aim of computing a most permissive winning strategy. Following earlier work, we measure permissiveness in terms of the average number/weight of transitions blocked by the…

计算机科学中的逻辑 · 计算机科学 2013-01-14 Patricia Bouyer , Nicolas Markey , Jörg Olschewski , Michael Ummels

The present paper introduces a novel notion of `(effective) computability', called viability, of strategies in game semantics in an intrinsic (i.e., without recourse to the standard Church-Turing computability), non-inductive and…

计算机科学中的逻辑 · 计算机科学 2018-06-27 Norihiro Yamada

The dynamics of a single microscopic or mesoscopic non quantum system interacting with a macroscopic environment is generally stochastic. In the same way, the reduced density operator of a single quantum system interacting with a…

量子物理 · 物理学 2020-04-06 Fabrice Debbasch

When agents are acting together, they may need a simple mechanism to decide on joint actions. One possibility is to have the agents express their preferences in the form of a ballot and use a voting rule to decide the winning action(s).…

人工智能 · 计算机科学 2012-04-18 Toby Walsh

We study stochastic two-player turn-based games in which the objective of one player is to ensure several infinite-horizon total reward objectives, while the other player attempts to spoil at least one of the objectives. The games have…

计算机科学与博弈论 · 计算机科学 2016-05-13 Romain Brenguier , Vojtěch Forejt

Recent studies reveal that branching bisimilarity is decidable for both nBPP (normed Basic Parallel Process) and nBPA (normed Basic Process Algebra). These results lead to the question if there are any other models in the hierarchy of PRS…

计算机科学中的逻辑 · 计算机科学 2014-04-29 Qiang Yin , Yuxi Fu , Chaodong He , Mingzhang Huang , Xiuting Tao

In this paper we consider a nondeterministic computation by deterministic multi-head 2-way automata having a read-only access to an auxiliary memory. The memory contains additional data (a guess) and computation is successful iff it is…

计算复杂性 · 计算机科学 2008-11-18 M. N. Vyalyi

We investigate the entanglement and nonlocality properties of two random XX spin-1/2 critical chains, in order to better understand the role of breaking translational invariance to achieve nonlocal states in critical systems. We show that…

量子物理 · 物理学 2018-09-05 João C. Getelina , Thiago R. de Oliveira , José A. Hoyos

We define a new strict and computable hierarchy for the family of automaton semigroups, which reflects the various asymptotic behaviors of the state-activity growth. This hierarchy extends that given by Sidki for automaton groups, and also…

形式语言与自动机理论 · 计算机科学 2018-05-15 Laurent Bartholdi , Thibault Godin , Ines Klimann , Matthieu Picantin

This paper studies the rationalization and identification of binary games where players have correlated private types. Allowing for correlation is crucial in global games and in models with social interactions as it represents correlated…

统计方法学 · 统计学 2018-03-20 Nianqing Liu , Quang Vuong , Haiqing Xu

We introduce a notion of strategies based on averaging for nonlocal games in quantum information theory. These so-called statistical strategies come in a commuting type and a more specific spatial type, which are respectively special cases…

量子物理 · 物理学 2023-02-14 Peter Burton

Definable zero-sum stochastic games involve a finite number of states and action sets, reward and transition functions that are definable in an o-minimal structure. Prominent examples of such games are finite, semi-algebraic or globally…

最优化与控制 · 数学 2015-01-05 Jérôme Bolte , Stéphane Gaubert , Guillaume Vigeral

We study the extent to which it is possible to approximate the optimal value of a Unique Games instance in Fixed-Point Logic with Counting (FPC). Formally, we prove lower bounds against the accuracy of FPC-interpretations that map Unique…

计算机科学中的逻辑 · 计算机科学 2024-08-07 Jamie Tucker-Foltz

We prove the existence of a weak solution for boundary value problems driven by a mixed local--nonlocal operator. The main novelty is that such an operator is allowed to be nonpositive definite.

偏微分方程分析 · 数学 2023-06-06 Alberto Maione , Dimitri Mugnai , Eugenio Vecchi

We show that the determinant $\nabla(d,\alpha),$ which seems to be not considered in the past, is not zero. As an application of this result we prove that the Setoyanagi operator $S_{p,q}=\partial^{2}-(ax^{p}+bx^{q}) $ is irreducible over…

偏微分方程分析 · 数学 2010-02-23 Lotfi Saidane

We examine constraints on quantum operations imposed by relativistic causality. A bipartite superoperator is said to be localizable if it can be implemented by two parties (Alice and Bob) who share entanglement but do not communicate; it is…

量子物理 · 物理学 2009-11-07 David Beckman , Daniel Gottesman , M. A. Nielsen , John Preskill

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

计算机科学与博弈论 · 计算机科学 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

Motivated by the difficulty of specifying complete ordinal preferences over a large set of $m$ candidates, we study voting rules that are computable by querying voters about $t < m$ candidates. Generalizing prior works that focused on…

计算机科学与博弈论 · 计算机科学 2024-09-30 Daniel Halpern , Safwan Hossain , Jamie Tucker-Foltz

Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game…

计算机科学与博弈论 · 计算机科学 2013-01-01 Xiang Jiang , Arno Pauly

This paper investigates the time-bounded version of the reachability problem for hybrid automata. This problem asks whether a given hybrid automaton can reach a given target location within T time units, where T is a constant rational…

计算机科学中的逻辑 · 计算机科学 2011-04-29 Thomas Brihaye , Laurent Doyen , Gilles Geeraerts , Joël Ouaknine , Jean-François Raskin , James Worrell