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This paper introduces a geometric framework for analyzing power relations in games, independent of their strategic form. We define a canonical preference space where each player's relational stance is a normalized vector. This model…

Theoretical Economics · Economics 2025-11-11 Daniele De luca

In the empirical approach to game-theoretic analysis (EGTA), the model of the game comes not from declarative representation, but is derived by interrogation of a procedural description of the game environment. The motivation for developing…

Computer Science and Game Theory · Computer Science 2025-02-21 Michael P. Wellman , Karl Tuyls , Amy Greenwald

This paper presents an empirical investigation of the relation between decision speed and decision quality for a real-world setting of cognitively-demanding decisions in which the timing of decisions is endogenous: professional chess.…

General Economics · Economics 2022-01-27 Uwe Sunde , Dainis Zegners , Anthony Strittmatter

We define several new models for how to define anomalous regions among enormous sets of trajectories. These are based on spatial scan statistics, and identify a geometric region which captures a subset of trajectories which are…

Data Structures and Algorithms · Computer Science 2019-06-06 Michael Matheny , Dong Xie , Jeff M. Phillips

Working with abstract information often relies on static, symbolic representations that constrain exploration. We introduce Explorable Ideas, a framework that externalizes abstract concepts into explorable environments where physical…

Human-Computer Interaction · Computer Science 2025-12-22 Euijun Jung , Jingyu Lee , Minji Kim , Youngki Lee

Continual learning aims to update models under distribution shift without forgetting, yet many high-stakes deployments, such as healthcare, also require interpretability. In practice, models that adapt well (e.g., deep networks) are often…

Machine Learning · Computer Science 2026-04-21 Dongkyu Cho , Xiyue Li , Samrachana Adhikari , Rumi Chunara

A commonly used technique for managing AI complexity in real-time strategy (RTS) games is to use action and/or state abstractions. High-level abstractions can often lead to good strategic decision making, but tactical decision quality may…

Artificial Intelligence · Computer Science 2017-09-12 Nicolas A. Barriga , Marius Stanescu , Michael Buro

In this report we present a new modelling framework for concepts based on quantum theory, and demonstrate how the conceptual representations can be learned automatically from data. A contribution of the work is a thorough category-theoretic…

Neurons and Cognition · Quantitative Biology 2023-03-01 Sean Tull , Razin A. Shaikh , Sara Sabrina Zemljic , Stephen Clark

Goals express agents' intentions and allow them to organize their behavior based on low-dimensional abstractions of high-dimensional world states. How can agents develop such goals autonomously? This paper proposes a detailed conceptual and…

Machine Learning · Computer Science 2014-10-22 Matthias Rolf , Minoru Asada

Transformer language models have made tremendous strides in natural language understanding tasks. However, the complexity of natural language makes it challenging to ascertain how accurately these models are tracking the world state…

Computation and Language · Computer Science 2022-05-17 Shubham Toshniwal , Sam Wiseman , Karen Livescu , Kevin Gimpel

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

Computer Science and Game Theory · Computer Science 2026-02-04 Melih İşeri , Erhan Bayraktar

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

Modern generative models demonstrate impressive capabilities, likely stemming from an ability to identify and manipulate abstract concepts underlying their training data. However, fundamental questions remain: what determines the concepts a…

Machine Learning · Computer Science 2024-12-12 Core Francisco Park , Maya Okawa , Andrew Lee , Hidenori Tanaka , Ekdeep Singh Lubana

In this paper, we present a novel approach to incrementally learn an Abstract Model of an unknown environment, and show how an agent can reuse the learned model for tackling the Object Goal Navigation task. The Abstract Model is a finite…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Tommaso Campari , Leonardo Lamanna , Paolo Traverso , Luciano Serafini , Lamberto Ballan

Traces form a coarse notion of semantic equivalence between states of a process, and have been studied coalgebraically for various types of system. We instantiate the finitary coalgebraic trace semantics framework of Hasuo et al. for…

Logic in Computer Science · Computer Science 2026-03-03 Benjamin Plummer , Corina Cirstea

Strategic reasoning enables agents to cooperate, communicate, and compete with other agents in diverse situations. Existing approaches to solving strategic games rely on extensive training, yielding strategies that do not generalize to new…

Artificial Intelligence · Computer Science 2023-05-31 Kanishk Gandhi , Dorsa Sadigh , Noah D. Goodman

Automated game design is the problem of automatically producing games through computational processes. Traditionally, these methods have relied on the authoring of search spaces by a designer, defining the space of all possible games for…

Artificial Intelligence · Computer Science 2021-02-22 Matthew Guzdial , Mark Riedl

We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of {\it mental space} given by a hierarchic $m$-adic tree. Associations are represented by balls and…

Neurons and Cognition · Quantitative Biology 2007-05-23 Andrei Khrennikov

The focus of recent research has shifted from merely improving the metrics based performance of Deep Neural Networks (DNNs) to DNNs which are more interpretable to humans. The field of eXplainable Artificial Intelligence (XAI) has observed…

Artificial Intelligence · Computer Science 2024-03-26 Avani Gupta , P J Narayanan

The past few years have seen several works on learning economic solutions from data; these include optimal auction design, function optimization, stable payoffs in cooperative games and more. In this work, we provide a unified…

Artificial Intelligence · Computer Science 2025-05-20 Tushant Jha , Yair Zick
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