Game Theory. A Handbook of Problems and Excercises
Game Theory. A Handbook of Problems and Excercises

Author: Leonardo Badia

Publisher: Società Editrice Esculapio

Published: 2022-01-18

Total Pages: 162

ISBN-13:

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Since the origins in its modern form, due to the seminal works of von Neumann and Nash, Game theory has most often been considered for its applications to economic and social sciences. However, its mathematical roots are more general, and its set of analytical tools that can be used to predict the outcome of interactive decision situations can be very relevant for many other scientific fields, especially including information and industrial engineering, where it has recently become a common curricular subject in university programs. To train the “brain muscles” to solve problems in a game theoretic way, students may find it useful to practice on concrete examples. For this reason, this book presents a collection of exercises that can be suitable for any entry-level course on Game theory. While there is no specific major for which such a practical activity can be useful, the book is conceived with an engineering spirit, and a general regard for modeling and optimization (from technological scenarios to childish gameplay). Still, some useful considerations can also be derived for other fields such as social psychology, biology, or humanities. Rather than in-depth speculative discussions, the book covers mostly practical cases, however providing a preliminary theoretical justification for the solution methods. Covered topics include static games of complete information, zero-sum games and minimax problems, lotteries, sequential games, multistage games, Bayesian games. This may also encourage the reader to approach more advanced topics, with a solid methodological background and a full-rounded appreciation of the subject.

Game Theory. A Handbook of Problems and Exercises
Game Theory. A Handbook of Problems and Exercises

Author: Leonardo Badia

Publisher: Esculapio

Published: 2022

Total Pages: 164

ISBN-13: 9788893852869

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Since the origins in its modern form, due to the seminal works of von Neumann and Nash, Game theory has most often been considered for its applications to economic and social sciences. However, its mathematical roots are more general, and its set of analytical tools that can be used to predict the outcome of interactive decision situations can be very relevant for many other scientific fields, especially including information and industrial engineering, where it has recently become a common curricular subject in university programs. To train the "brain muscles" to solve problems in a game theoretic way, students may find it useful to practice on concrete examples. For this reason, this book presents a collection of exercises that can be suitable for any entry-level course on Game theory. While there is no specific major for which such a practical activity can be useful, the book is conceived with an engineering spirit, and a general regard for modeling and optimization (from technological scenarios to childish gameplay). Still, some useful considerations can also be derived for other fields such as social psychology, biology, or humanities. Rather than in-depth speculative discussions, the book covers mostly practical cases, however providing a preliminary theoretical justification for the solution methods. Covered topics include static games of complete information, zero-sum games and minimax problems, lotteries, sequential games, multistage games, Bayesian games. This may also encourage the reader to approach more advanced topics, with a solid methodological background and a full-rounded appreciation of the subject.

Strategy and Game Theory
Strategy and Game Theory

Author: Felix Munoz-Garcia

Publisher: Springer

Published: 2016-08-10

Total Pages: 362

ISBN-13: 3319329634

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This textbook presents worked-out exercises on game theory with detailed step-by-step explanations. While most textbooks on game theory focus on theoretical results, this book focuses on providing practical examples in which students can learn to systematically apply theoretical solution concepts to different fields of economics and business. The text initially presents games that are required in most courses at the undergraduate level and gradually advances to more challenging games appropriate for masters level courses. The first six chapters cover complete-information games, separately analyzing simultaneous-move and sequential-move games, with applications in industrial economics, law, and regulation. Subsequent chapters dedicate special attention to incomplete information games, such as signaling games, cheap talk games, and equilibrium refinements, emphasizing common steps and including graphical illustrations to focus students’ attention on the most relevant payoff comparisons at each point of the analysis. In addition, exercises are ranked according to their difficulty, with a letter (A-C) next to the exercise number. This allows students to pace their studies and instructors to structure their classes accordingly. By providing detailed worked-out examples, this text gives students at various levels the tools they need to apply the tenets of game theory in many fields of business and economics. This text is appropriate for introductory-to-intermediate courses in game theory at the upper undergraduate and master’s level.

Strategy and Game Theory
Strategy and Game Theory

Author: Felix Munoz-Garcia

Publisher: Springer

Published: 2019-05-16

Total Pages: 534

ISBN-13: 3030119025

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This textbook presents worked-out exercises on game theory with detailed step-by-step explanations. While most textbooks on game theory focus on theoretical results, this book focuses on providing practical examples in which students can learn to systematically apply theoretical solution concepts to different fields of economics and business. The text initially presents games that are required in most courses at the undergraduate level and gradually advances to more challenging games appropriate for graduate level courses. The first six chapters cover complete-information games, separately analyzing simultaneous-move and sequential-move games, with applications in industrial economics, law, and regulation. Subsequent chapters dedicate special attention to incomplete information games, such as signaling games, cheap talk games, and equilibrium refinements, emphasizing common steps and including graphical illustrations to focus students’ attention on the most relevant payoff comparisons at each point of the analysis. In addition, exercises are ranked according to their difficulty, with a letter (A-C) next to the exercise number. This allows students to pace their studies and instructors to structure their classes accordingly. By providing detailed worked-out examples, this text gives students at various levels the tools they need to apply the tenets of game theory in many fields of business and economics. The second edition of the text has been revised to provide additional exercises at the introductory and intermediate level, expanding the scope of the book to be appropriate for upper undergraduate students looking to improve their understanding of the subject. The second edition also includes a new chapter devoted entirely to cheap talk games. Revised to appeal to a larger audience of instructors and students, this text is appropriate for introductory-to-intermediate courses in game theory at the upper undergraduate and graduate levels.

Game Theory
Game Theory

Author: James N. Webb

Publisher: Springer Science & Business Media

Published: 2007-03-06

Total Pages: 237

ISBN-13: 1846286360

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The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.

Game Theory
Game Theory

Author: Steve Tadelis

Publisher: Princeton University Press

Published: 2013-01-06

Total Pages: 416

ISBN-13: 0691129088

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The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Game Theory
Game Theory

Author: Michael Maschler

Publisher: Cambridge University Press

Published: 2020-06-25

Total Pages: 1054

ISBN-13: 1108659950

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Now in its second edition, this popular textbook on game theory is unrivalled in the breadth of its coverage, the thoroughness of technical explanations and the number of worked examples included. Covering non-cooperative and cooperative games, this introduction to game theory includes advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings and the bargaining set. This edition contains new material on stochastic games, rationalizability, and the continuity of the set of equilibrium points with respect to the data of the game. The material is presented clearly and every concept is illustrated with concrete examples from a range of disciplines. With numerous exercises, and the addition of a solution manual for instructors with this edition, the book is an extensive guide to game theory for undergraduate through graduate courses in economics, mathematics, computer science, engineering and life sciences, and will also serve as useful reference for researchers.

Game Theory, Alive
Game Theory, Alive

Author: Anna R. Karlin

Publisher: American Mathematical Soc.

Published: 2017-04-27

Total Pages: 400

ISBN-13: 1470419823

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We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Game Theory and Strategy
Game Theory and Strategy

Author: Philip D. Straffin

Publisher: American Mathematical Society

Published: 2023-01-06

Total Pages: 256

ISBN-13: 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.

Game Theory through Examples
Game Theory through Examples

Author: Erich Prisner

Publisher: American Mathematical Soc.

Published: 2014-12-31

Total Pages: 287

ISBN-13: 1614441154

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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.