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Book
The language of game theory : putting epistemics into the mathematics of games
Author:
ISSN: 22512071 ISBN: 981451344X 9789814513449 9814513431 9789814513432 Year: 2014 Volume: 5 Publisher: New Jersey: World scientific,

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Abstract

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 determi


Book
Game theory
Author:
ISBN: 1614441154 9781614441151 Year: 2014 Publisher: [Washington, District of Columbia]

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Game Theory Through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play, that maxim is embodied in this book. Game Theory Through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.


Book
Game theory and mechanism design
Author:
ISSN: 20102402 ISBN: 9814525057 1306566282 9781306566285 9789814525053 9789814525046 9814525049 Year: 2014 Volume: 4 Publisher: Singapore: World scientific,

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This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the "science" behind traditional as well as emerging economic applications for the society. The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sci


Book
Positional Games
Authors: --- --- ---
ISBN: 3034808240 3034808259 Year: 2014 Publisher: Basel : Springer Basel : Imprint: Birkhäuser,

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This text serves as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two-player perfect information games. These range from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.


Book
Logic in games.
Author:
ISBN: 9780262019903 0262019906 9780262320290 0262320290 Year: 2014 Publisher: Cambridge MIT press

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Book
A primer on auction design, management, and strategy
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ISBN: 0262321823 0262028263 9780262321822 0262321831 9780262028264 9780262321839 Year: 2014 Publisher: Cambridge: MIT Press,

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A guide to modeling and analyzing auctions, with the applications of game theory and auction theory to real-world auction decision making.


Book
Analyzing strategic behavior in business and economics
Author:
ISBN: 0739186043 1306548098 1498525628 0739186051 9780739186053 9781306548090 9780739186046 9781498525626 Year: 2014 Publisher: Lanham, MD

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This innovative textbook is a concise and axiomatic introduction to the principles of game theory-the formal study of move and countermove. Undergraduate business and economics students with a background in the principles of microeconomics and college mathematics will find the material presented in this textbook focused, comprehensive, and accessible.


Book
Mechanisms and games for dynamic spectrum allocation
Author:
ISBN: 1107596696 1107702895 1107701783 1107703786 1107690366 1107598338 1139524429 Year: 2014 Publisher: Cambridge : Cambridge University Press,

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Presenting state-of-the-art research into methods of wireless spectrum allocation based on game theory and mechanism design, this innovative and comprehensive book provides a strong foundation for the design of future wireless mechanisms and spectrum markets. Prominent researchers showcase a diverse range of novel insights and approaches to the increasing demand for limited spectrum resources, with a consistent emphasis on theoretical methods, analytical results and practical examples. Covering fundamental underlying principles, licensed spectrum sharing, opportunistic spectrum sharing, and wider technical and economic considerations, this singular book will be of interest to academic and industrial researchers, wireless industry practitioners, and regulators interested in the foundations of cutting-edge spectrum management.


Book
The pre-kernel as a tractable solution for cooperative games : an exercise in algorithmic game theory
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ISBN: 3642395481 364239549X Year: 2014 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.

Political game theory : an introduction
Authors: ---
ISBN: 9781107438637 9781107438637 0521841070 9780521841078 9780511813122 9780511648922 0511648928 0511268874 9780511268878 9780511268205 0511268203 1107162947 1107385997 9786612395215 1282395211 0511644884 0511813120 0511567332 1107438632 Year: 2014 Publisher: New York: Cambridge university press,

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Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.

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