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Certification of quantum systems and operations is a central task in quantum information processing. Most current schemes rely on a tomography with fully characterised devices, while this may not be met in real experiments. Device…

量子物理 · 物理学 2020-09-16 Xingjian Zhang , Qi Zhao

In rational verification, the aim is to verify which temporal logic properties will obtain in a multi-agent system, under the assumption that agents ("players") in the system choose strategies for acting that form a game theoretic…

计算机科学与博弈论 · 计算机科学 2023-01-18 Julian Gutierrez , Szymon Kowara , Sarit Kraus , Thomas Steeples , Michael Wooldridge

We consider correlations, $p_{n,x}$, arising from measuring a maximally entangled state using $n$ measurements with two outcomes each, constructed from $n$ projections that add up to $xI$. We show that the correlations $p_{n,x}$ robustly…

量子物理 · 物理学 2021-03-03 Laura Mančinska , Jitendra Prakash , Christopher Schafhauser

Reinforcement-based learning dynamics may exhibit several limitations when applied in a distributed setup. In (repeatedly-played) multi-player/action strategic-form games, and when each player applies an independent copy of the learning…

计算机科学与博弈论 · 计算机科学 2025-11-25 Georgios C. Chasparis

We study the classical and quantum values of one- and two-party linear games, an important class of unique games that generalizes the well-known XOR games to the case of non-binary outcomes. We introduce a ``constraint graph" associated to…

We investigate complex self-testing, a generalization of standard self-testing that accounts for quantum strategies whose statistics is indistinguishable from their complex conjugate's. We show that many structural results from standard…

量子物理 · 物理学 2026-04-06 Ranyiliu Chen , Laura Mančinska , Jurij Volčič

In this paper, we study multi-agent network games subject to affine time-varying coupling constraints and a time-varying communication network. We focus on the class of games adopting proximal dynamics and study their convergence to a…

计算机科学与博弈论 · 计算机科学 2019-11-20 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic congestion games, in response to variations of the demands. The main goal is to identify conditions under which a paradoxical non-monotone behavior…

计算机科学与博弈论 · 计算机科学 2024-02-07 Roberto Cominetti , Valerio Dose , Marco Scarsini

Strong Parallel Repetition for Unique Games on Small Set Expanders The strong parallel repetition problem for unique games is to efficiently reduce the 1-delta vs. 1-C*delta gap problem of Boolean unique games (where C>1 is a sufficiently…

计算复杂性 · 计算机科学 2022-09-21 Dana Moshkovitz

Metaheuristic and self-organizing criticality (SOC) could contribute to robust computation under perturbed environments. Implementing a logic gate in a computing system in a critical state is one of the intriguing ways to study the role of…

人工智能 · 计算机科学 2021-12-16 Yukio-Pegio Gunji , Yoshihiko Ohzawa , Terutaka Tanaka

This paper proposes a new logic RoCTL* to model robustness in concurrent systems. RoCTL* extends CTL* with the addition of Obligatory and Robustly operators, which quantify over failure-free paths and paths with one more failure…

计算机科学中的逻辑 · 计算机科学 2013-09-18 John C. McCabe-Dansted , Tim French , Mark Reynolds , Sophie Pinchinat

The satisfiability problem for branching-time temporal logics like CTL*, CTL and CTL+ has important applications in program specification and verification. Their computational complexities are known: CTL* and CTL+ are complete for doubly…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Oliver Friedmann , Martin Lange , Markus Latte

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in real situations, the strategic environment varies as a result of past…

计算机科学与博弈论 · 计算机科学 2022-07-15 Brandon C. Collins , Shouhuai Xu , Philip N. Brown

This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control problems, formulated by stochastic differential games. By a spike variation approach, we derive sufficient conditions for achieving the Nash equilibrium,…

最优化与控制 · 数学 2025-04-29 Bingyan Han , Chi Seng Pun , Hoi Ying Wong

In games, as in and many other domains, design validation and testing is a huge challenge as systems are growing in size and manual testing is becoming infeasible. This paper proposes a new approach to automated game validation and testing.…

软件工程 · 计算机科学 2022-08-22 Alessandro Sestini , Joakim Bergdahl , Konrad Tollmar , Andrew D. Bagdanov , Linus Gisslén

Non-local games (NLGs) provide a versatile framework for probing quantum correlations and for benchmarking the power of entanglement. In finite dimensions, the standard method for playing several games in parallel requires a tensor product…

量子物理 · 物理学 2026-05-25 Sarah Chehade , Andrea Delgado , Elaine Wong

We study the computational complexity of finding stable outcomes in hedonic games, which are a class of coalition formation games. We restrict our attention to symmetric additively-separable hedonic games, which are a nontrivial subclass of…

计算机科学与博弈论 · 计算机科学 2015-09-18 Martin Gairing , Rahul Savani

Tsirelson's problem asks whether the commuting operator model for two-party quantum correlations is equivalent to the tensor-product model. We give a negative answer to this question by showing that there are non-local games which have…

量子物理 · 物理学 2020-09-29 William Slofstra

The literature on dynamic discrete games often assumes that the conditional choice probabilities and the state transition probabilities are homogeneous across markets and over time. We refer to this as the "homogeneity assumption" in…

计量经济学 · 经济学 2024-08-16 Federico A. Bugni , Jackson Bunting , Takuya Ura

We introduce a simple two-player test which certifies that the players apply tensor products of Pauli $\sigma_X$ and $\sigma_Z$ observables on the tensor product of $n$ EPR pairs. The test has constant robustness: any strategy achieving…

量子物理 · 物理学 2017-11-02 Anand Natarajan , Thomas Vidick