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Game Theory Lecture Notes

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. Graphs and Trees252. Game Trees with Complete Information and No Chance283. Game Trees with Incomplete Information324.

We can’t see this step{so we’ve adorned this decision with a square box. We’ll discuss these boxes more when we talk about game trees. You the player must rst choose a door. Lastly, you must decide whether or not to switch doors having been shown a door that is incorrect.12

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