[PDF] The Language Of Game Theory eBook

Author : Adam Brandenburger
Publisher : World Scientific
Page : 298 pages
File Size : 32,77 MB
Release : 2014
Category : Mathematics
ISBN : 981451344X

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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."

Author : Robin Clark
Publisher : MIT Press
Page : 373 pages
File Size : 15,87 MB
Release : 2023-09-19
Category : Language Arts & Disciplines
ISBN : 0262549182

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An engaging introduction to the use of game theory to study lingistic meaning. In Meaningful Games, Robin Clark explains in an accessible manner the usefulness of game theory in thinking about a wide range of issues in linguistics. Clark argues that we use grammar strategically to signal our intended meanings: our choices as speaker are conditioned by what choices the hearer will make interpreting what we say. Game theory—according to which the outcome of a decision depends on the choices of others—provides a formal system that allows us to develop theories about the kind of decision making that is crucial to understanding linguistic behavior. Clark argues the only way to understand meaning is to grapple with its social nature—that it is the social that gives content to our mental lives. Game theory gives us a framework for working out these ideas. The resulting theory of use will allow us to account for many aspects of linguistic meaning, and the grammar itself can be simplified. The results are nevertheless precise and subject to empirical testing. Meaningful Games offers an engaging and accessible introduction to game theory and the study of linguistic meaning. No knowledge of mathematics beyond simple algebra is required; formal definitions appear in special boxes outside the main text. The book includes an extended argument in favor of the social basis of meaning; a brief introduction to game theory, with a focus on coordination games and cooperation; discussions of common knowledge and games of partial information; models of games for pronouns and politeness; and the development of a system of social coordination of reference.

Author : Ahti-Veikko Pietarinen
Publisher : BRILL
Page : 258 pages
File Size : 22,80 MB
Release : 2007-06-30
Category : Language Arts & Disciplines
ISBN : 0080548520

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This is the first book to collect research on game-theoretic tools in the analysis of language with particular reference to semantics and pragmatics. Games are significant, because they pertain equally to pragmatics and semantics of natural language. The book provides an overview of the variety of ways in which game theory is used in the analysis of linguistic meaning and shows how games arise in pragmatic as well as semantic investigations. The book is a balanced combination of philosophical, linguistic, logical and mathematical argumentation. The book has an introductory and a concluding chapter, written by the editor, to give a gentle introduction to the topics covered in the book and to provide wider conclusions and prospects arising from the individual essays. The major topics covering the field of game theory and linguistic meaning included in the book are: language games, Wittgenstein evolutionary language games communication games, Grice games of partial information equilibrium semantics game-theoretic semantics logical modelling, and generalised quantifiers the semantics/pragmatics distinction. It includes international contributions from known leaders in the field. It is part of the Current Research in Semantics/Pragmatics Interface series.

Author : A. Benz
Publisher : Springer
Page : 299 pages
File Size : 13,33 MB
Release : 2005-10-31
Category : Philosophy
ISBN : 0230285899

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Rooted in Gricean tradition, this book concentrates on game- and decision-theoretic (GDT) approaches to the foundations of pragmatics. An Introduction to GDT, with an overview of GDT pragmatics research to date and its relation to semantics and to Gricean pragmatics is followed by contributions offering a high-level survey of current GDT pragmatics and the field of its applications, demonstrating that this approach provides a sound basis for synchronic and diachronic explanations of language use.

Author : Philip D. Straffin
Publisher : American Mathematical Society
Page : 256 pages
File Size : 41,78 MB
Release : 2023-01-06
Category : Mathematics
ISBN : 1470471965

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This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 241 pages
File Size : 48,4 MB
Release : 2013-01-01
Category : Mathematics
ISBN : 0486281094

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Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.

Author : William Spaniel
Publisher :
Page : 273 pages
File Size : 35,76 MB
Release : 2014
Category : Game theory
ISBN : 9781492728153

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Game Theory 101: The Complete Textbook is a no-nonsense, games-centered introduction to strategic form (matrix) and extensive form (game tree) games. From the first lesson to the last, this textbook introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Quick, efficient, and to the point, Game Theory 101: The Complete Textbook is perfect for introductory game theory, intermediate microeconomics, and political science.

Author : Frank C. Zagare
Publisher : SAGE
Page : 100 pages
File Size : 33,60 MB
Release : 1984-07
Category : Mathematics
ISBN : 9780803920507

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Professor Zagare provides methods for analysing the structure of the game; considers zero and nonzero-sum games and the fundamental 'minimax theorem'; and investigates games with more than two players, including the possibility of coalitions between players.

Author : Kevin Gebser
Publisher : Springer Nature
Page : 88 pages
File Size : 43,79 MB
Release : 2022-05-31
Category : Computers
ISBN : 3031015452

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Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them.

Author : Fiona Carmichael
Publisher : Pearson Education
Page : 310 pages
File Size : 47,82 MB
Release : 2005
Category : Business & Economics
ISBN : 9780273684961

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Game theory can be used to analyse strategic problems in diverse settings, and its application is not limited to a single discipline such as economics or business studies. This guide reflects this interdisciplinary potential to provide an introductory overview of the subject.