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We show that language models hallucinate not because they fail to detect uncertainty, but because of a failure to integrate it into output generation. Across architectures, uncertain inputs are reliably identified, occupying…

Artificial Intelligence · Computer Science 2026-03-17 Valeria Ruscio , Keiran Thompson

Multi-Head Attention (MHA) is the core computational primitive underlying modern Large Language Models (LLMs). However, MHA suffers from a fundamental linear scaling limitation: $H$ attention heads produce exactly $H$ independent attention…

Game theory has grown into a major field over the past few decades, and poker has long served as one of its key case studies. Game-Theory-Optimal (GTO) provides strategies to avoid loss in poker, but pure GTO does not guarantee maximum…

Computer Science and Game Theory · Computer Science 2025-09-30 SeungHyun Yi , Seungjun Yi

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

Computer Science and Game Theory · Computer Science 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

Despite incredible advances, deep learning has been shown to be susceptible to adversarial attacks. Numerous approaches have been proposed to train robust networks both empirically and certifiably. However, most of them defend against only…

Artificial Intelligence · Computer Science 2023-06-28 Yimu Wang , Dinghuai Zhang , Yihan Wu , Heng Huang , Hongyang Zhang

Multimodal Large Reasoning Models (MLRMs) have achieved remarkable strides in visual reasoning through test time compute scaling, yet long chain reasoning remains prone to hallucinations. We identify a concerning phenomenon termed the…

Artificial Intelligence · Computer Science 2026-05-29 Zhe Qian , Yanbiao Ma , Zhuohan Ouyang , Zhonghua Wang , Zhongxing Xu , Fei Luo , Xinyu Liu , Zongyuan Ge , Yike Guo , Jungong Han

Human beings like to believe they are in control of their destiny. This ubiquitous trait seems to increase motivation and persistence, and is probably evolutionarily adaptive. But how good really is our ability to control? How successful is…

Physics and Society · Physics 2009-11-13 J. B. Satinover , D. Sornette

We propose a type of non-cooperative game, termed multi-cluster aggregative game, which is composed of clusters as players, where each cluster consists of collaborative agents with cost functions depending on their own decisions and the…

Multiagent Systems · Computer Science 2023-05-16 Yue Chen , Peng Yi

As AI agents become increasingly capable of tool use and long-horizon tasks, they have begun to be deployed in settings where multiple agents can interact. However, whereas prior work has mostly focused on human-AI interactions, there is an…

Artificial Intelligence · Computer Science 2025-08-27 Olivia Long , Carter Teplica

Attending to what is relevant is fundamental to both the mammalian brain and modern machine learning models such as Transformers. Yet, determining relevance remains a core challenge, traditionally offloaded to learning algorithms like…

Machine Learning · Computer Science 2025-05-13 Ahsan Adeel

This paper gives a complete analysis of worst-case equilibria for various versions of weighted congestion games with two players and affine cost functions. The results are exact price of anarchy bounds which are parametric in the weights of…

Computer Science and Game Theory · Computer Science 2022-03-04 Joran van den Bosse , Marc Uetz , Matthias Walter

The transformer has revolutionized modern AI across language, vision, and beyond. It consists of $L$ layers, each running $H$ attention heads in parallel and feeding the combined output to the subsequent layer. In attention, the input…

Computational Complexity · Computer Science 2026-03-13 Barna Saha , Yinzhan Xu , Christopher Ye , Hantao Yu

Recent years have witnessed significant advances in reinforcement learning (RL), which has registered great success in solving various sequential decision-making problems in machine learning. Most of the successful RL applications, e.g.,…

Machine Learning · Computer Science 2021-04-30 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

To develop trustworthy Vision-Language Models (VLMs), it is essential to address adversarial robustness and hallucination mitigation, both of which impact factual accuracy in high-stakes applications such as defense and healthcare. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Chung-En , Yu , Hsuan-Chih , Chen , Brian Jalaian , Nathaniel D. Bastian

Game theory's prescriptive power typically relies on full rationality and/or self-play interactions. In contrast, this work sets aside these fundamental premises and focuses instead on heterogeneous autonomous interactions between two or…

Computer Science and Game Theory · Computer Science 2012-03-19 Enrique Munoz de Cote , Archie C. Chapman , Adam M. Sykulski , Nicholas R. Jennings

Numerous real-world decisions rely on machine learning algorithms and require calibrated uncertainty estimates. However, modern methods often yield overconfident, uncalibrated predictions. The dominant approach to quantifying the…

We consider an atomic congestion game in which each player $i$ participates in the game with an exogenous and known probability $p_{i}\in(0,1]$, independently of everybody else, or stays out and incurs no cost. We compute the parameterized…

Computer Science and Game Theory · Computer Science 2024-08-13 Roberto Cominetti , Marco Scarsini , Marc Schröder , Nicolás Stier-Moses

Deep reinforcement learning (DRL) methods have recently shown promise in path planning tasks. However, when dealing with global planning tasks, these methods face serious challenges such as poor convergence and generalization. To this end,…

Machine Learning · Computer Science 2024-01-10 Guoming Huang , Mingxin Hou , Xiaofang Yuan , Shuqiao Huang , Yaonan Wang

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

Computer Science and Game Theory · Computer Science 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar