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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 - 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
Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Game theory --- E-books
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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.
Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics
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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
Game theory. --- Economics, Mathematical. --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Games, Theory of --- Theory of games --- Mathematical models --- Methodology --- Game theory
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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.
Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Combinatorics. --- Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Math --- Science --- Combinatorics --- Algebra --- Mathematical analysis
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Game theory. --- Logic. --- Game theory --- Logic --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Methodology
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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.
Auctions --- Game theory --- Commerce --- Business & Economics --- Marketing & Sales --- Auctions. --- Game theory. --- Games, Theory of --- Theory of games --- Dutch auctions --- Vendues --- Mathematical models --- Mathematics --- Bailments --- Commercial law --- E-books --- ECONOMICS/Microeconomics --- ECONOMICS/Game Theory
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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.
Game theory. --- Decision making. --- Management. --- Administration --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Games, Theory of --- Theory of games --- Decision making --- Industrial relations --- Organization --- Choice (Psychology) --- Problem solving --- Mathematical models --- Mathematics --- Game theory --- E-books
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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.
Wireless communication systems --- Radio frequency allocation. --- Signal theory (Telecommunication) --- Game theory. --- Management. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Electric signal theory --- Electric waves --- Signal detection --- Telecommunication --- Resource allocation --- International cooperation
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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.
Algorithms --- Computer science --- Game theory --- Mathematics --- Game theory. --- Economic theory. --- Economics. --- Game Theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Math Applications in Computer Science. --- Mathematics. --- Computer science. --- Informatics --- Science --- Economic theory --- Political economy --- Social sciences --- Economic man --- Math --- Games, Theory of --- Theory of games --- Mathematical models --- Computer science—Mathematics.
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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.
Political games --- Game theory --- Political science --- Mathematical models --- Political games. --- Game theory. --- Mathematical models. --- #SBIB:303H13 --- #SBIB:303H64 --- Simulation games --- Games, Theory of --- Theory of games --- Mathematics --- Methoden en technieken: politieke wetenschappen --- Speltheorie --- Social Sciences --- Political Science --- Political science - Mathematical models
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