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We study a zero-sum stochastic differential game (SDG) in which one controller plays an impulse control while their opponent plays a stochastic control. We consider an asymmetric setting in which the impulse player commits to, at the start…

概率论 · 数学 2019-01-31 Parsiad Azimzadeh

We propose a discrete time graphon game formulation on continuous state and action spaces using a representative player to study stochastic games with heterogeneous interaction among agents. This formulation admits both philosophical and…

最优化与控制 · 数学 2024-06-07 Fuzhong Zhou , Chenyu Zhang , Xu Chen , Xuan Di

We present a simpler proof of the existence of equilibria for a class of mean field games with common noise, where players interact through the conditional law given the current value of the common noise rather than its entire path. By…

概率论 · 数学 2025-11-04 Ludovic Tangpi , Shichun Wang

Verifying whether a procedure is observationally pure is useful in many software engineering scenarios. An observationally pure procedure always returns the same value for the same argument, and thus mimics a mathematical function. The…

软件工程 · 计算机科学 2019-02-15 Himanshu Arora , Raghavan Komondoor , G. Ramalingam

A correction to the specification of the mechanism proposed in "An Efficient Game Form for Unicast Service Provisioning" is given.

最优化与控制 · 数学 2015-03-13 Ali Kakhbod , Demosthenis Teneketzis

Quantum computers now show the promise of surpassing any possible classical machine. However, errors limit this ability and current machines do not have the ability to implement error correcting codes due to the limited number of qubits and…

量子物理 · 物理学 2023-09-26 Zhao-Ming Wang , Feng-Hua Ren , Mark S. Byrd , Lian-Ao Wu

In this paper we use pre existing language support for type modifiers and object capabilities to enable a system for sound runtime verification of invariants. Our system guarantees that class invariants hold for all objects involved in…

编程语言 · 计算机科学 2019-02-28 Isaac Oscar Gariano , Marco Servetto , Alex Potanin

Our ability to know when to trust the decisions made by machine learning systems has not kept up with the staggering improvements in their performance, limiting their applicability in high-stakes domains. We introduce Prover-Verifier Games…

机器学习 · 计算机科学 2021-08-30 Cem Anil , Guodong Zhang , Yuhuai Wu , Roger Grosse

The effect of unitary noise on the performance of Grover's quantum search algorithm is studied. This type of noise may result from tiny fluctuations and drift in the parameters of the (quantum) components performing the computation. The…

量子物理 · 物理学 2009-11-10 D. Shapira , S. Mozes , O. Biham

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

偏微分方程分析 · 数学 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

This paper introduces a model theory for resolution on Higher Order Hereditarily Harrop formulae (HOHH), the logic underlying the Lambda-Prolog programming language, and proves soundness and completeness of resolution. The semantics and the…

编程语言 · 计算机科学 2024-05-28 Gianluca Amato , Mary DeMarco , James Lipton

The objective of this work is to study the existence, uniqueness, and stability of equilibria in mean field games involving a major player and a continuum of minor players over finite intervals of arbitrary length. Following earlier…

最优化与控制 · 数学 2025-01-07 Francois Delarue , Chenchen Mou

Normal-form games (NFGs) are the fundamental model of strategic interaction. We study their representation using neural networks. We describe the inherent equivariance of NFGs -- any permutation of strategies describes an equivalent game --…

计算机科学与博弈论 · 计算机科学 2024-02-14 Siqi Liu , Luke Marris , Georgios Piliouras , Ian Gemp , Nicolas Heess

We describe a denotational semantics for an abstract effect system for a higher-order, shared-variable concurrent programming language. We prove the soundness of a number of general effect-based program equivalences, including a…

编程语言 · 计算机科学 2015-10-12 Nick Benton , Martin Hofmann , Vivek Nigam

This paper presents a universal representation of symmetric (permutation-invariant) functions with multidimensional variable-size variables. These representations help justify approximation methods that aggregate information from each…

综合经济学 · 经济学 2025-05-22 Takeshi Fukasawa

Motion, speech, and sound effects are fundamental elements of human-centric videos, yet their heterogeneous temporal characteristics make joint generation highly challenging. Existing audio-video generation models often fail to maintain…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Shihao Cheng , Jiaxu Zhang , Quanyue Song , Shansong Liu , Zhizhi Guo , Xiaolei Zhang , Chi Zhang , Xuelong Li , Zhigang Tu

Given two finite sets of integers $S\subseteq\NNN\setminus\{0\}$ and $D\subseteq\NNN\setminus\{0,1\}$,the impartial combinatorial game $\IMARK(S,D)$ is played on a heap of tokens. From a heap of $n$ tokens, each player can moveeither to a…

离散数学 · 计算机科学 2015-11-10 Eric Sopena

A combinatorial game is a two-player game without hidden information or chance elements. The main object of combinatorial game theory is to obtain the outcome, which player has a winning strategy, of a given combinatorial game. Positions of…

组合数学 · 数学 2025-11-27 Kengo Hashimoto

We study the existence of classical solutions to a broad class of local, first order, forward-backward Extended Mean Field Games systems, that includes standard Mean Field Games, Mean Field Games with congestion, and mean field type control…

偏微分方程分析 · 数学 2023-01-12 Sebastian Munoz

Autonomous systems often operate in multi-agent settings and need to make concurrent, strategic decisions, typically in uncertain environments. Verification and control problems for these systems can be tackled with concurrent stochastic…

计算机科学中的逻辑 · 计算机科学 2026-01-22 Angel Y. He , David Parker