The Language of Game Theory

Author: Adam Brandenburger
Publisher: World Scientific
ISBN: 981451344X
Format: PDF, ePub
Download Now
This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program OCo now called epistemic game theory OCo extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior. Sample Chapter(s). Foreword (39 KB). Introduction (132 KB). Chapter 1: An Impossibility Theorem on Beliefs in Games (299 KB). Contents: An Impossibility Theorem on Beliefs in Games (Adam Brandenburger and H Jerome Keisler); Hierarchies of Beliefs and Common Knowledge (Adam Brandenburger and Eddie Dekel); Rationalizability and Correlated Equilibria (Adam Brandenburger and Eddie Dekel); Intrinsic Correlation in Games (Adam Brandenburger and Amanda Friedenberg); Epistemic Conditions for Nash Equilibrium (Robert Aumann and Adam Brandenburger); Lexicographic Probabilities and Choice Under Uncertainty (Lawrence Blume, Adam Brandenburger, and Eddie Dekel); Admissibility in Games (Adam Brandenburger, Amanda Friedenberg and H Jerome Keisler); Self-Admissible Sets (Adam Brandenburger and Amanda Friedenberg). Readership: Graduate students and researchers in the fields of game theory, theoretical computer science, mathematical logic and social neuroscience."

The Language of Game Theory

Author: Adam Brandenburger
Publisher: World Scientific
ISBN: 9814513458
Format: PDF, Kindle
Download Now
This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior. Contents:An Impossibility Theorem on Beliefs in Games (Adam Brandenburger and H Jerome Keisler)Hierarchies of Beliefs and Common Knowledge (Adam Brandenburger and Eddie Dekel)Rationalizability and Correlated Equilibria (Adam Brandenburger and Eddie Dekel)Intrinsic Correlation in Games (Adam Brandenburger and Amanda Friedenberg)Epistemic Conditions for Nash Equilibrium (Robert Aumann and Adam Brandenburger)Lexicographic Probabilities and Choice Under Uncertainty (Lawrence Blume, Adam Brandenburger, and Eddie Dekel)Admissibility in Games (Adam Brandenburger, Amanda Friedenberg and H Jerome Keisler)Self-Admissible Sets (Adam Brandenburger and Amanda Friedenberg) Readership: Graduate students and researchers in the fields of game theory, theoretical computer science, mathematical logic and social neuroscience. Keywords:Game Theory;Epistemic Game Theory;Foundations;Applied Mathematics;Social Neuroscience;Rationalizability;Nash Equilibrium;Probability;UncertaintyKey Features:Focuses on epistemic game theory — an emerging approach to game theoryLikely strong interest in these tools from other disciplines, includingtheoretical computer science, mathematical logic, and social neuroscienceProminent co-author team: Robert Aumann (Hebrew University, Nobel Laureate 2005); Lawrence Blume (Cornell University); Eddie Dekel (Northwestern University and Tel Aviv University); Amanda Freedeneurg (Arizona State University); H Jerome Keisler (University of Wisconsin Madison)Reviews: "Adam Brandenburger's work on the knowledge requirements implicit in game theory has become classic. These are of profound importance in understanding the relevance of game theory and, indeed, economic theory in general to the real economy. It is very good to have them collected, with an introduction that brings out the underlying themes." Kenneth J Arrow Stanford University, USA "Over the past decade epistemic game theory has emerged as one of the principled alternatives to more traditional approaches to economic interactions and Adam Brandenburger has played a central role in that emergence. For anyone interested in epistemic game theory, or game theory in general, this book is a must have. But even more important is the opportunity this volume, and epistemic game theory in general, presents to empirical scientists. As Brandenburger notes in his Introduction, until now epistemic game theory has been a theoretical discipline. This volume should make it clear, however, that it could be — and likely soon will be — an empirical undertaking. Anyone interested in behavioral, psychological, or neurobiological studies of how we make decisions during strategic play will find in this volume a profoundly fascinating set of empirically testable hypotheses just waiting to be examined." Paul Glimcher New York University, USA "Three hundred years ago, Francis Waldegrave found the first minimax solution of a matrix game. But in his correspondence with mathematicians Pierre Rémond de Montmort and Nicolaus Bernoulli, Waldegrave counseled that epistemic considerations involving knowledge, beliefs, uncertainty, and incomplete information also mattered. The principal practitioners of game theory, with the notable exceptions of John Harsanyi and Robert Aumann, have ignored this advice. In recent years, these two theorists have been joined by Adam Brandenburger, whose work on epistemic game theory has been collected in this splendid volume. Eight classic papers by Brandenburger with a number of co-authors present an authoritative view of the field while an insightful introduction provides a roadmap to research both present and future." Harold W Kuhn Princeton University, USA "This book features a collection of foundational papers by Adam Brandenburger in epistemic game theory. Though still evolving, this approach marks a tectonic shift in game theory by offering a new, epistemic dimension which might be compared to the introduction of synchronized sound to motion pictures in the early 20th century: it might not immediately provide a complete picture, but it has the potential of changing the field forever." Sergei N Artemov The Graduate Center of the City University of New York, USA "Adam Brandenburger has played a leading role in developing the program of epistemic game theory, the goal of which is to provide a deeper and clearer foundation for game theory as a whole. This volume collects a remarkable body of work by Brandenburger and his collaborators, in which penetrating conceptual analysis and the development of a rich mathematical theory go hand in hand. The work offers much of great interest to computer scientists, who will see many connections with their study of recursive and corecursive structures, of processes and their logics, and of multi-agent systems; and to mathematicians and logicians interested in making precise models of the reflexive structures inherent in systems containing rational agents who can reason about the system of which they form a part. I hope that this timely collection will help to stimulate cross-disciplinary work on these fundamental topics." Samson Abramsky Oxford University, UK "Games are playgrounds where players meet and interact, guided by streams of information and opinion. Adam Brandenburger's work has been instrumental in creating a new rich epistemic framework doing justice to both games and their players. This timely book will help a broader audience learn and appreciate the resulting theory." Johan van Benthem University of Amsterdam, The Netherlands and Stanford University, USA "Economics, so grounded in the notion of equilibrium, has required substantial foundational work on reasoning about reasoning — epistemics — in interacting situations (games). Yet, if plain reasoning is difficult enough, just imagine epistemics. Adam Brandenburger, as is evident from the elegant and clear chapters of this book, is a master of the trade. His highly regarded research, always subtle and deep, is of the kind that establishes milestones while at the same time opening up vistas to new, and unexpected, frontiers. This book is specialized, certainly, but it is a must." Andreu Mas-Colell Universitat Pompeu Fabra, Spain “The papers in this book had a huge impact on the field, created an inter– and multi–discipliner research within the intersection of economics, philosophy, mathematics and computer science, and also inspired countless amount of PhD dissertations. Brandenburger's work contains very precise and beautiful mathematics, an earthly reading of epistemics and a puzzling innovation.” Zentralblatt MATH

Pareto Nash Stackelberg Game and Control Theory

Author: Valeriu Ungureanu
Publisher: Springer
ISBN: 3319751514
Format: PDF
Download Now
This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Right Game

Author: Adam Brandenburger
Publisher: Harvard Business Review Press
ISBN: 1633691292
Format: PDF, ePub, Docs
Download Now
Business is like war: The best combatant wins while the worst loses, right? Not necessarily. Companies can succeed spectacularly without destroying others. And they can lose miserably after competing well. Exceptional businesses win by actively shaping the game they're playing, not playing the game they find. The Right Game shows you how to do this-by altering who's competing, what value each player brings to the table, and which rules and tactics players use. Since 1922, Harvard Business Review has been a leading source of breakthrough management ideas-many of which still speak to and influence us today. The Harvard Business Review Classics series now offers readers the opportunity to make these seminal pieces a part of your permanent management library. Each highly readable volume contains a groundbreaking idea that continues to shape best practices and inspire countless managers around the world-and will have a direct impact on you today and for years to come.

Uncertainty Within Economic Models

Author: Hansen Lars Peter
Publisher: World Scientific
ISBN: 9814578134
Format: PDF, ePub, Docs
Download Now
Written by Lars Peter Hansen (Nobel Laureate in Economics, 2013) and Thomas Sargent (Nobel Laureate in Economics, 2011), Uncertainty within Economic Models includes articles adapting and applying robust control theory to problems in economics and finance. This book extends rational expectations models by including agents who doubt their models and adopt precautionary decisions designed to protect themselves from adverse consequences of model misspecification. This behavior has consequences for what are ordinarily interpreted as market prices of risk, but big parts of which should actually be interpreted as market prices of model uncertainty. The chapters discuss ways of calibrating agents' fears of model misspecification in quantitative contexts.

Models of Bounded Rationality and Mechanism Design

Author: Jacob Glazer
Publisher: World Scientific Publishing Company
ISBN: 9813141336
Format: PDF, ePub
Download Now
This book brings together the authors' joint papers from over a period of more than twenty years. The collection includes seven papers, each of which presents a novel and rigorous model in Economic Theory. All of the models are within the domain of implementation and mechanism design theories. These theories attempt to explain how incentive schemes and organizations can be designed with the goal of inducing agents to behave according to the designer's (principal's) objectives. Most of the literature assumes that agents are fully rational. In contrast, the authors inject into each model an element which conflicts with the standard notion of full rationality, demonstrating how such elements can dramatically change the mechanism design problem. Although all of the models presented in this volume touch on mechanism design issues, it is the formal modeling of bounded rationality that the authors are most interested in. A model of bounded rationality signifies a model that contains a procedural element of reasoning that is not consistent with full rationality. Rather than looking for a canonical model of bounded rationality, the articles introduce a variety of modeling devices that will capture procedural elements not previously considered, and which alter the analysis of the model. The book is a journey into the modeling of bounded rationality. It is a collection of modeling ideas rather than a general alternative theory of implementation.

Don t Be a Wife to a Boyfriend

Author: Shonda B. White
Publisher: Createspace Independent Publishing Platform
ISBN: 9781533066664
Format: PDF
Download Now
You cook for him, clean for him, and sacrifice for him. There's only one problem-in reality he's your boyfriend, but in your mind, you're already married. When a woman falls in love, she will give it her all-even if she's not getting anything in return, especially in the form of a ring! The moment of being fed up and realizing you are giving so much of yourself to someone who doesn't give the same in return can be unmistakable and painful. This is not a man-bashing book or a book for women uninterested in the truth. This is for women who look at their relationships with feelings of betrayal, pain, and emptiness and who want to make a change. Don't Be a Wife to a Boyfriend: 10 Lessons I Learned When I Was Single aims to help you on your journey to self-discovery and shows you that every relationship failure can offer a moment of truth and clarity. With humor, compassion, and the hard-earned knowledge of experience, Shonda tells you all the things your girlfriends are afraid to, and shares personal stories that will inspire you to live your best life no matter your relationship status.

Epistemic Game Theory

Author: Andrés Perea
Publisher: Cambridge University Press
ISBN: 1107008913
Format: PDF, Kindle
Download Now
The first textbook to explain the principles of epistemic game theory.

Advances in Economics and Econometrics

Author: Econometric Society. World Congress
Publisher: Cambridge University Press
ISBN: 1107016061
Format: PDF, ePub, Docs
Download Now
The third volume of edited papers from the Tenth World Congress of the Econometric Society 2010.

Constituent Imagination

Author: Stevphen Shukaitis
Publisher: AK Press
ISBN: 9781904859352
Format: PDF, ePub
Download Now
From the ivory tower to the barricades! Radical intellectuals explore the relationship between research and resistance.