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This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3…

Optimization and Control · Mathematics 2024-05-20 O. A. Malafeyev , V. Vekovtsev

We propose the study of mathematical ludology, which aims to formally interrogate questions of interest to game studies and game design in particular. The goal is to extend our mathematical understanding of complex games beyond…

Artificial Intelligence · Computer Science 2020-01-07 Paul Riggins , David McPherson

Existing web infrastructures have supported the publication of a tremendous amount of resources, and over the past few years Data Resource Usage is an everyday task for millions of users all over the world. In this work we model Resource…

Computer Science and Game Theory · Computer Science 2012-04-20 Paraskevas V. Lekeas

Generative Adversarial Networks (GANs) have recently attracted considerable attention in the AI community due to its ability to generate high-quality data of significant statistical resemblance to real data. Fundamentally, GAN is a game…

Resource allocation is the process of optimizing the rare resources. In the area of security, how to allocate limited resources to protect a massive number of targets is especially challenging. This paper addresses this resource allocation…

Computer Science and Game Theory · Computer Science 2019-02-26 Xu Liu , Xiaoqiang Di , Jinqing Li , Huan Wang , Jianping Zhao , Huamin Yang , Ligang Cong

The game of Tetris is an important benchmark for research in artificial intelligence and machine learning. This paper provides a historical account of the algorithmic developments in Tetris and discusses open challenges. Handcrafted…

Machine Learning · Computer Science 2019-05-13 Simón Algorta , Özgür Şimşek

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. In this…

Quantum Physics · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski

We investigate the dynamics of the choice of an active strategy in the minority game. A history distribution is introduced as an analytical tool to study the asymmetry between the two choices offered to the agents. Its properties are…

adap-org · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

In this paper, a gentle introduction to Game Theory is presented in the form of basic concepts and examples. Minimax and Nash's theorem are introduced as the formal definitions for optimal strategies and equilibria in zero-sum and…

Computer Science and Game Theory · Computer Science 2015-06-18 Harris V. Georgiou

We define a new concept of "mistake" strategies and actions for strategic-form and extensive-form games, analyze the relationship to prior main game-theoretic solution concepts, study algorithms for computation, and explore practicality.…

Computer Science and Game Theory · Computer Science 2020-10-29 Sam Ganzfried

The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

Evolutionary game theory has been a successful tool to combine classical game theory with learning-dynamical descriptions in multiagent systems. Provided some symmetric structures of interacting players, many studies have been focused on…

Artificial Intelligence · Computer Science 2022-06-23 Xinyu Zhang , Peng Peng , Yushan Zhou , Haifeng Wang , Wenxin Li

Originating in psychology, $\textit{Theory of Mind}$ (ToM) has attracted significant attention across multiple research communities, especially logic, economics, and robotics. Most psychological work does not aim at formalizing those…

Artificial Intelligence · Computer Science 2025-12-01 Fengming Zhu , Yuxin Pan , Xiaomeng Zhu , Fangzhen Lin

Self-determination theory (SDT), a psychological theory of human motivation, is a prominent paradigm in human-computer interaction (HCI) research on games. However, our prior literature review observed a trend towards shallow applications…

Human-Computer Interaction · Computer Science 2024-06-17 April Tyack , Elisa D. Mekler

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

We present an innovative methodology for studying and teaching the impacts of AI through a role play game. The game serves two primary purposes: 1) training AI developers and AI policy professionals to reflect on and prepare for future…

Computers and Society · Computer Science 2019-12-20 Shahar Avin , Ross Gruetzemacher , James Fox

Computer games represent an ideal research domain for the next generation of personalized digital applications. This paper presents a player-centered framework of AI for game personalization, complementary to the commonly used…

Artificial Intelligence · Computer Science 2021-02-16 Jichen Zhu , Santiago Ontañón

Game-theoretic centrality is a flexible and sophisticated approach to identify the most important nodes in a network. It builds upon the methods from cooperative game theory and network theory. The key idea is to treat nodes as players in a…

Artificial Intelligence · Computer Science 2018-01-03 Mateusz K. Tarkowski , Tomasz P. Michalak , Talal Rahwan , Michael Wooldridge
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