| Author | : Andrés Perea |
| Publisher | : Cambridge University Press |
| Total Pages | : 581 |
| Release | : 2012-06-07 |
| Genre | : Business & Economics |
| ISBN | : 1107008913 |
The first textbook to explain the principles of epistemic game theory.
Explaining Games
| Author | : Boudewijn de Bruin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 185 |
| Release | : 2010-08-18 |
| Genre | : Science |
| ISBN | : 1402099061 |
Does game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as it is used in explanatory and normative contexts. He argues that game theory reduces to rational choice theory if used as an explanatory device, and that game theory is nonsensical if used as a normative device. A provocative account of the history of game theory reveals that this is not bad news for all of game theory, though. Two central research programmes in game theory tried to find the ultimate characterisation of strategic interaction between rational agents. Yet, while the Nash Equilibrium Refinement Programme has done badly thanks to such research habits as overmathematisation, model-tinkering and introversion, the Epistemic Programme, De Bruin argues, has been rather successful in achieving this aim.
Interactive Epistemology
| Author | : Robert J. Aumann |
| Publisher | : World Scientific Economic Theo |
| Total Pages | : 0 |
| Release | : 2023-01-29 |
| Genre | : Business & Economics |
| ISBN | : 9789811227325 |
Robert J Aumann has received numerous prizes, including the Nobel Memorial Prize in Economic Sciences for 2005.With his 1976 paper, 'Agreeing to Disagree', Robert Aumann pioneered the subject of interactive epistemology: the study of what people know, and what they know about what others know. Since then, the discipline has burgeoned enormously. This book documents Aumann's work leading to the 1976 paper and his subsequent contributions to the discipline. The scientific controversies emanating from his work are also included.
The Bounds of Reason
| Author | : Herbert Gintis |
| Publisher | : Princeton University Press |
| Total Pages | : 283 |
| Release | : 2014-04-20 |
| Genre | : Business & Economics |
| ISBN | : 0691160848 |
Game theory is central to understanding human behavior and relevant to all of the behavioral sciences—from biology and economics, to anthropology and political science. However, as The Bounds of Reason demonstrates, game theory alone cannot fully explain human behavior and should instead complement other key concepts championed by the behavioral disciplines. Herbert Gintis shows that just as game theory without broader social theory is merely technical bravado, so social theory without game theory is a handicapped enterprise. This edition has been thoroughly revised and updated. Reinvigorating game theory, The Bounds of Reason offers innovative thinking for the behavioral sciences.
The Language of Game Theory
| Author | : Adam Brandenburger |
| Publisher | : World Scientific |
| Total Pages | : 298 |
| Release | : 2014 |
| Genre | : Mathematics |
| ISBN | : 981451344X |
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."
Epinets
| Author | : Mihnea C. Moldoveanu |
| Publisher | : Stanford University Press |
| Total Pages | : 198 |
| Release | : 2014-03-05 |
| Genre | : Business & Economics |
| ISBN | : 0804789452 |
Epinets presents a new way to think about social networks, which focuses on the knowledge that underlies our social interactions. Guiding readers through the web of beliefs that networked individuals have about each other and probing into what others think, this book illuminates the deeper character and influence of relationships among social network participants. Drawing on artificial intelligence, the philosophy of language, and epistemic game theory, Moldoveanu and Baum formulate a lexicon and array of conceptual tools that enable readers to explain, predict, and shape the fabric and behavior of social networks. With an innovative and strategically-minded look at the assumptions that enable and clog our networks, this book lays the groundwork for a leap forward in our understanding of human relations.
Rationality in Extensive Form Games
| Author | : Andrés Perea |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2001-10-31 |
| Genre | : Business & Economics |
| ISBN | : 9780792375401 |
This book is concerned with situations in which several persons reach decisions independently and the final consequence depends, potentially, upon each of the decisions taken. Such situations may be described formally by an extensive form game: a mathematical object which specifies the order in which decisions are to be taken, the information available to the decision makers at each point in time, and the consequence that results for each possible combination of decisions. A necessary requirement for rational behavior in such games is that each decision maker should reach a decision that is optimal, given his preferences over his own decisions. This requirement is far from sufficient, however, since every decision maker should in addition base his preferences upon the conjecture that his opponents will act optimally as well. It is this principle that distinguishes noncooperative game theory from one-person decision theory. The main purpose of Rationality in Extensive Form Games is to discuss different formalizations of this principle in extensive form games, such as backward induction, Nash equilibrium, forward induction and rationalizability, under the assumption that the decision makers' preferences are given by subjective expected utility functions. The various formalizations, or rationality criteria, are illustrated by examples, and the relationships among the different criteria are explored.
Rational Choice and Strategic Conflict
| Author | : Gabriel Frahm |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 356 |
| Release | : 2019-09-23 |
| Genre | : Business & Economics |
| ISBN | : 3110596105 |
"This book is refreshing, innovative and important for several reasons. Perhaps most importantly, it attempts to reconcile game theory with one-person decision theory by viewing a game as a collection of one-person decision problems. As natural as this approach may seem, it is hard to find game theory books that really implement this view. This book is a wonderful exception, in which the transition between decision theory and game theory is both smooth and natural. It shows that decision theory and game theory can go—and, in fact, must go—hand in hand. The careful exposition, the many illustrative examples, the critical assessment of traditional game theory concepts, and the enlightening comparison with the subjectivistic approach advocated in this book, make it a pleasure to read and a must have for anyone interested in the foundations of decision theory and game theory." Andrés Perea (Maastricht University) "Gabriel Frahm's relatively nontechnical book is a bold synthesis of decision theory and game theory from a Bayesian or subjectivist perspective. It distinguishes between decisions, or one-person games, and games with two or more players, but Frahm argues that this distinction is not always necessary—the two kinds of games can be analyzed within a common theoretical framework. He models the dynamics of choice in several different settings (e.g., information may be complete or incomplete as well as perfect or imperfect), including one in which players look ahead and make farsighted calculations on which they base their choices. His book contains many provocative examples that illustrate the advantages of a unified theory of rational decision-making." Steven J. Brams (New York University)
Jaakko Hintikka on Knowledge and Game-Theoretical Semantics
| Author | : Hans van Ditmarsch |
| Publisher | : Springer |
| Total Pages | : 634 |
| Release | : 2018-01-31 |
| Genre | : Philosophy |
| ISBN | : 331962864X |
This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory. This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka’s career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters. The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.
