Game Theory Computational Aspects And Applications
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Game Theory - Computational Aspects and Applications
Author: Tibor Guzsvinecz
language: en
Publisher: BoD – Books on Demand
Release Date: 2025-02-12
This book will help you discover the world of game theory and its impact on decision-making, conflict resolution, and resource management. The book combines cutting-edge research and interdisciplinary approaches, comprehensively exploring both sides of game theory: theory and applications. From computational modeling and strategic decision-making to sustainable resource allocation and business optimization, this book provides novel research to understand complex systems and interactions in real-world contexts. Using the blend of mathematics and practice, this book demonstrates how game theory can enhance smarter decision-making, foster collaboration, and resolve conflicts across industries, environmental systems, and digital worlds. Focusing on innovative methodologies and strategies, it quips researchers, practitioners, and students with the tools to tackle challenges in resource management, business intelligence, and beyond. Whether you are an academic seeking advanced frameworks, a strategist looking for practical tools, or simply curious about the science behind theories and interdisciplinary interactions, this book offers novel perspectives to inspire and guide your journey through the field of game theory.
Computational Aspects of Cooperative Game Theory
Author: Georgios Chalkiadakis
language: en
Publisher: Springer Nature
Release Date: 2022-05-31
Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.
Twenty Lectures on Algorithmic Game Theory
Author: Tim Roughgarden
language: en
Publisher: Cambridge University Press
Release Date: 2016-09-01
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.