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We consider a deterministic mean field games problem in which a typical agent solves an optimal control problem where the dynamics is affine with respect to the control and the cost functional has a growth which is polynomial with respect…

Optimization and Control · Mathematics 2023-05-03 Justina Gianatti , Francisco J. Silva , Ahmad Zorkot

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

The Category Game is a multi-agent model that accounts for the emergence of shared categorization patterns in a population of interacting individuals. In the framework of the model, linguistic categories appear as long lived consensus…

Computational Physics · Physics 2010-12-17 Francesca Tria , Animesh Mukherjee , Andrea Baronchelli , Andrea Puglisi , Vittorio Loreto

The increasingly pervasive connectivity of today's information systems brings up new challenges to security. Traditional security has accomplished a long way toward protecting well-defined goals such as confidentiality, integrity,…

Cryptography and Security · Computer Science 2018-08-27 Quanyan Zhu , Stefan Rass

Game theory has emerged as a powerful framework for modeling a large range of multi-agent scenarios. Many algorithmic solutions require discrete, finite games with payoffs that have a closed-form specification. In contrast, many real-world…

Computer Science and Game Theory · Computer Science 2018-06-13 Abdullah Al-Dujaili , Erik Hemberg , Una-May O'Reilly

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

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

These lecture notes attempt a mathematical treatment of game theory akin to mathematical physics. A game instance is defined as a sequence of states of an underlying system. This viewpoint unifies classical mathematical models for 2-person…

Theoretical Economics · Economics 2023-04-27 Ulrich Faigle

This paper develops a game-theoretic model and an agent-based model to study group formation driven by resource pooling, spatial cohesion, and heterogeneity. We focus on cross-sector partnerships (CSPs) involving public, private, and…

Computer Science and Game Theory · Computer Science 2025-09-24 Chenlan Wang , Jimin Han , Diana Jue-Rajasingh

We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resource and degrade that of the other depends on their ability to…

Physics and Society · Physics 2023-12-06 Andrew C. Cullen , Tansu Alpcan , Alexander C. Kalloniatis

A multi-agent system operates in an uncertain environment about which agents have different and time varying beliefs that, as time progresses, converge to a common belief. A global utility function that depends on the realized state of the…

Computer Science and Game Theory · Computer Science 2016-02-08 Ceyhun Eksin , Alejandro Ribeiro

The computation of a solution concept of a cooperative game usually depends on values of all coalitions. However, in some applications, values of some of the coalitions might be unknown due to various reasons. We introduce a method to…

Computer Science and Game Theory · Computer Science 2022-12-12 Martin Černý

We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure…

Multiagent Systems · Computer Science 2026-02-24 Philipp Lakheshar , Sharwin Rezagholi

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

This paper presents the "Game Theory Explorer" software tool to create and analyze games as models of strategic interaction. A game in extensive or strategic form is created and nicely displayed with a graphical user interface in a web…

Computer Science and Game Theory · Computer Science 2015-01-07 Rahul Savani , Bernhard von Stengel

Game theory has by now found numerous applications in various fields, including economics, industry, jurisprudence, and artificial intelligence, where each player only cares about its own interest in a noncooperative or cooperative manner,…

Computer Science and Game Theory · Computer Science 2022-07-19 Xiuxian Li , Min Meng , Yiguang Hong , Jie Chen

With the vast amount of data collected on football and the growth of computing abilities, many games involving decision choices can be optimized. The underlying rule is the maximization of an expected utility of outcomes and the law of…

Machine Learning · Computer Science 2021-03-15 Preston Biro , Stephen G. Walker

Conventional maneuver prediction methods use some sort of classification model on temporal trajectory data to predict behavior of agents over a set time horizon. Despite of having the best precision and recall, these models cannot predict a…

Robotics · Computer Science 2025-09-29 Nishant Doshi

There have been two major lines of research aimed at capturing resource-bounded players in game theory. The first, initiated by Rubinstein, charges an agent for doing costly computation; the second, initiated by Neyman, does not charge for…

Computer Science and Game Theory · Computer Science 2013-08-20 Joseph Y. Halpern , Rafael Pass , Lior Seeman

Population games model the evolution of strategic interactions among a large number of uniform agents. Due to the agents' uniformity and quantity, their aggregate strategic choices can be approximated by the solutions of a class of ordinary…

Computer Science and Game Theory · Computer Science 2023-12-14 Semih Kara , Nuno C. Martins
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