Transcription of Game Theory Lecture Notes
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Game Theory : Penn State Math 486 LectureNotesVersion Griffin 2010-2012 Licensed under a Creative Commons Attribution-Noncommercial-Share Alike United States LicenseWith Major Contributions By:James FanGeorge Kesidisand Other Contributions By:Arlan StutlerContentsList of FiguresvChapter 1. Preface and an Introduction to Game Theoryxi1. Using These Notesxi2. An Overview of Game TheoryxiChapter 2. Probability Theory and Games Against the House11. Probability12. Random Variables and Expected Values63. Conditional Probability74. Bayes Rule12 Chapter 3. Utility Theory151. Decision Making Under Certainty152. Advanced Decision Making under Uncertainty22 Chapter 4. Game Trees, Extensive Form, Normal Form and Strategic Form251.
2.1 Digraphs on 3 Vertices: There are 64 = 26 distinct graphs on three vertices. The increased number of edges graphs is caused by the fact that the edges are now directed.16 2.2 Two Paths: We illustrate two paths in a digraph on three vertices.16 2.3 Directed Tree: We illustrate a directed tree. Every directed tree has a unique vertex called ...
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