Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or econo
In recent years game theory has had a substantial impact on computer science, especially on Internet- and e-commerce-related issues. Algorithmic Game Theory, first published in 2007, develops the central ideas and results of this exciting area in a clear and succinct manner. More than 40 of the top researchers in this field have written chapters that go from the foundations to the state of the art. Basic chapters on algorithmic methods for equilibria, mechanism design and combinatorial auctions are followed by chapters on important game theory applications such as incentives and pricing, cost sharing, information markets and cryptography and security. This definitive work will set the tone of research for the next few years and beyond. Students, researchers, and practitioners alike need to learn more about these fascinating theoretical developments and their widespread practical application.
An introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations.This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated.Features:Each chapter begins with a motivating example that can be run as an experiment and ends with a discussion of the beh
Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or econo
Traditional game theory requires at least two individuals. This book extends game theory to the inner workings of a single person.Using game theory to analyse single individuals makes sense if one thi
Experimental Game Theory is the first textbook to introduce the main concepts of game theory and to confront them with experimental evidence. This applied, real world approach will help students under
Today, there is a growing sense of urgency among fisheries scientists regarding the management of fish stocks, particularly among those who predict the imminent collapse of the fishing industry due to
Traditional game theory requires at least two individuals. This book extends game theory to the inner workings of a single person.Using game theory to analyse single individuals makes sense if one thi
Experimental Game Theory is the first textbook to introduce the main concepts of game theory and to confront them with experimental evidence. This applied, real world approach will help students under
The application of mathematical analysis to wireless networks has met with limited success, due to the complexity of mobility and traffic models, coupled with the dynamic topology and the unpredictabi
Game Theory: A Simple Introduction offers an accessible and enjoyable guide to the basic principles and extensive applications of game theory.Understand a game matrix, prisoners’ dilemma, dominant and
In recent years game theory has swept through all of the social sciences. Its practitioners have great designs for it, claiming that it offers an opportunity to unify the social sciences and that it i
This book provides recent results of game theory for networking applications. The contributors address the major opportunities and challenges in applying traditional game theory as well as intelligent
Series: Routledge Library Editions: BuddhismThis volume forms part of a ten volume set on the origins of macroeconomics. The emergence of macroeconomics was probably the single most important developm
This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only prop
The revised edition of this book shows how game theory can be used to model and analyze business decisions from accounting to operations, from marketing to strategy and more. Covers competition, law a
This book investigates models in cooperative game theory in which the players have the possibility to cooperate partially. In a crisp game the agents are either fully involved or not involved at all i
This original, quantitatively oriented analysis applies the theory of the core to define competition in order to describe and deduce the consequences of competitive and non-competitive behavior. Writt
