An Introduction to Applicable Game Theory
Title | An Introduction to Applicable Game Theory PDF eBook |
Author | Robert Gibbons |
Publisher | |
Pages | 54 |
Release | 1996 |
Genre | Game theory |
ISBN |
This paper offers an introduction to game theory for applied economists. I try to give simple definitions and intuitive examples of the basic kinds of games and their solution concepts. There are four kinds of games: static or dynamic, and complete or incomplete information. ( Complete information means there is no private information.) The corresponding solution concepts are: Nash equilibrium in static games of complete information; backwards induction (or subgame-perfect Nash equilibrium) in dynamic games of complete information; Bayesian Nash equilibrium in static games with incomplete information; and perfect Bayesian (or sequential) equilibrium in dynamic games with incomplete information. The main theme of the paper is that these solution concepts are closely linked. As we consider progressively richer games, we progressively strengthen the solution concept, to rule out implausible equilibria in the richer games that would survive if we applied solution concepts available for simpler games. In each case, the stronger solution concept differs from the weaker concept only for the richer games, not for the simpler games.
Game Theory for Applied Economists
Title | Game Theory for Applied Economists PDF eBook |
Author | Robert Gibbons |
Publisher | Princeton University Press |
Pages | 284 |
Release | 1992-07-13 |
Genre | Business & Economics |
ISBN | 1400835887 |
An introduction to one of the most powerful tools in modern economics Game Theory for Applied Economists introduces one of the most powerful tools of modern economics to a wide audience: those who will later construct or consume game-theoretic models. Robert Gibbons addresses scholars in applied fields within economics who want a serious and thorough discussion of game theory but who may have found other works too abstract. Gibbons emphasizes the economic applications of the theory at least as much as the pure theory itself; formal arguments about abstract games play a minor role. The applications illustrate the process of model building—of translating an informal description of a multi-person decision situation into a formal game-theoretic problem to be analyzed. Also, the variety of applications shows that similar issues arise in different areas of economics, and that the same game-theoretic tools can be applied in each setting. In order to emphasize the broad potential scope of the theory, conventional applications from industrial organization have been largely replaced by applications from labor, macro, and other applied fields in economics. The book covers four classes of games, and four corresponding notions of equilibrium: static games of complete information and Nash equilibrium, dynamic games of complete information and subgame-perfect Nash equilibrium, static games of incomplete information and Bayesian Nash equilibrium, and dynamic games of incomplete information and perfect Bayesian equilibrium.
Game Theory
Title | Game Theory PDF eBook |
Author | José Luis Ferreira |
Publisher | Bloomsbury Publishing |
Pages | 293 |
Release | 2019-11-06 |
Genre | Mathematics |
ISBN | 1352007924 |
Using fascinating examples from a range of disciplines, this textbook provides social science, philosophy and economics students with an engaging introduction to the tools they need to understand and predict strategic interactions. Beginning with an introduction to the most famous games, the book uses clear, jargon-free language and accessible maths as it guides the reader through whole games with full, worked-through examples. End-of-chapter exercises help to consolidate understanding along the way. With an applied approach that draws upon real-life case-studies, this book highlights the insights that game theory can offer each situation. It is an ideal textbook for students approaching game theory from various fields across the social sciences, and for curious general readers who are looking for a thorough introduction to this intriguing subject. Accompanying online resources for this title can be found at bloomsburyonlineresources.com/game-theory. These resources are designed to support teaching and learning when using this textbook and are available at no extra cost.
Game Theory
Title | Game Theory PDF eBook |
Author | Steve Tadelis |
Publisher | Princeton University Press |
Pages | 416 |
Release | 2013-01-06 |
Genre | Business & Economics |
ISBN | 0691129088 |
The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
Introducing Game Theory and its Applications
Title | Introducing Game Theory and its Applications PDF eBook |
Author | Elliott Mendelson |
Publisher | CRC Press |
Pages | 272 |
Release | 2016-02-03 |
Genre | Mathematics |
ISBN | 1482285878 |
The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In
An Introductory Course on Mathematical Game Theory
Title | An Introductory Course on Mathematical Game Theory PDF eBook |
Author | Julio González-Díaz |
Publisher | American Mathematical Society |
Pages | 324 |
Release | 2021-10-22 |
Genre | Mathematics |
ISBN | 1470465736 |
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.
An Introduction to Game Theory
Title | An Introduction to Game Theory PDF eBook |
Author | Martin J. Osborne |
Publisher | Oxford University Press, USA |
Pages | 533 |
Release | 2009-01 |
Genre | Mathematics |
ISBN | 9780195322484 |
This text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.