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Details for:
Barron E. Game Theory. An Introduction 2ed 2013
barron e game theory introduction 2ed 2013
Type:
E-books
Files:
2
Size:
10.1 MB
Uploaded On:
Oct. 28, 2022, 10:27 a.m.
Added By:
andryold1
Seeders:
6
Leechers:
0
Info Hash:
48524D6907E829A3AECC62602435AE99405BD6A7
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Textbook in PDF format This second edition expands the book in several ways. There is a new chapter on extensive games that takes advantage of the open-source software package GAMBIT to both draw the trees and solve the games. Even simple examples will show that doing this by hand is not really feasible and that’s why it was skipped in the first edition. These games are now included in this edition because it provides a significant expansion of the number of game models that the student can think about and implement. It is an important modeling experience and one cannot avoid thinking about the game and the details to get it right. Many more exercises have been added to the end of most sections. Some material has been expanded upon and some new results have been discussed. For instance, the book now has a section on correlated equilibria and a new section on explicit solutions of three player cooperative games due to recent results of Leng and Parlar (2010). The use of software makes these topics tractable. Finding a correlated equilibrium depends on solving a linear programming problem that becomes a trivial task with Maple/Mathematica or any linear programming package. Once again there is more material in the book than can be covered in one semester, especially if one now wants to include extensive games. Nevertheless, all of the important topics can be covered in one semester if one does not get sidetracked into linear programming or economics. The major topics forming the core of the course are zero sum games, nonzero sum games, and cooperative games. A course covering these topics could be completed in one quarter. The foundation of this class is examples. Every concept is either introduced by or expanded upon and then illustrated with examples. Even though proofs of the main theorems are included, in my own course I skip virtually all of them and focus on their use. In a more advanced course, one might include proofs and more advanced material. For example, I have included a brief discussion of mixed strategies for continuous games but this is a topic that actually requires knowledge of measure theory to present properly. Even knowing about Stieltjes integrals is beyond the prerequisites of the class. Incidentally, the prerequisites for the book are very elementary probability, calculus, and a basic knowledge of matrices (like multiplying and inverses). Another new feature of the second edition is the availability of a solution manual that includes solutions to all of the problems in the book. The new edition of the book contains answers to odd-numbered problems. Some instructors have indicated that they would prefer to not have all the solutions in the book so that they could assign homework for grades without making up all new problems. I am persuaded by this argument after teaching this course many times. All the software in the book in both Maple and Mathematica is available for download from my website: Matrix Two-Person Games Solution Methods for Matrix Games Two-Person Nonzero Sum Games Games in Extensive Form: Sequential Decision Making n-Person Nonzero Sum Games and Games with a Continuum of Strategies Cooperative Games Evolutionary Stable Strategies and Population Games A: The Essentials of Matrix Analysis B: The Essentials of Probability C: The Essentials of Maple D: The Mathematica Commands E: Biographies Problem Solutions
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Barron E. Game Theory. An Introduction 2ed 2013.pdf
3.9 MB
Barron E. Game Theory. An Introduction 2008.pdf
6.2 MB
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