Game Theory A Handbook Of Problems And Exercises
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Game Theory. A Handbook of Problems and Exercises
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 Excercises
Author: Leonardo Badia
language: en
Publisher: Società Editrice Esculapio
Release Date: 2022-01-18
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 Evolving
Author: Herbert Gintis
language: en
Publisher: Princeton University Press
Release Date: 2000
The study of strategic action (game theory) is moving from a formal science of rational behavior to an evolutionary tool kit for studying behavior in a broad array of social settings. In this problem-oriented introduction to the field, Herbert Gintis exposes students to the techniques and applications of game theory through a wealth of sophisticated and surprisingly fun-to-solve problems involving human (and even animal) behavior. Game Theory Evolving is innovative in several ways. First, it reflects game theory's expansion into such areas as cooperation in teams, networks, the evolution and diffusion of preferences, the connection between biology and economics, artificial life simulations, and experimental economics. Second, the book--recognizing that students learn by doing and that most game theory texts are weak on problems--is organized around problems, and introduces principles through practice. Finally, the quality of the problems is simply unsurpassed, and each chapter provides a study plan for instructors interested in teaching evolutionary game theory. Reflecting the growing consensus that in many important contexts outside of anonymous markets, human behavior is not well described by classical "rationality," Gintis shows students how to apply game theory to model how people behave in ways that reflect the special nature of human sociality and individuality. This book is perfect for upper undergraduate and graduate economics courses as well as a terrific introduction for ambitious do-it-yourselfers throughout the behavioral sciences.