Tuesday 
Thursday 
Jan. 9
No class
 Jan. 11
In Lecture:
 Overview of the course
 Two person games and the media: Why is lying on the rise?
 Strategies in two person games
Associated Reading:
 On Bullshit (entire book)
 FAPP = For all Practical Purposes, Chapter 15.1
 How math can save your life, chapter 2.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:
A nice example of B.S.
Video of class (downloadable)

Jan. 16
In Lecture:
 B.S. versus lying, examples from the news.
 Two person zero sum games, continued. Examples involving credibility and the lying benefit.
Associated Reading:
 On Bullshit (entire book)
 FAPP = For all Practical Purposes, Chapter 15.1
 How math can save your life, chapter 2.
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 Jan. 18
In Lecture:
 Recap of analysis of the truth versus lying game
 Why the lying benefit is necessary to explain speakers who always lie
 Extremism
 Multioption, two person zero sum games
 Dominant strategies, maximins, minimaxes and saddlepoints
 Why speaking bullshit and expecting bullshit form a saddlepoint in the absence of credibility.
Associated Reading:
 On Bullshit (entire book)
 FAPP = For all Practical Purposes, Chapter 15.1
 How math can save your life, chapter 2.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:
Video of class (downloadable)

Jan. 23
In Lecture:
 Proof that maximin <= minimax
 Proof that for a two person two option zero sum game, a dominant strategy exists if and only if there is a saddlepoint. This is not true of larger games.
 For arbitrary zero sum games, if there is a dominant strategy there is a saddlepoint.
Associated Reading:
 On Bullshit (entire book)
 FAPP = For all Practical Purposes, Chapter 15.1
 How math can save your life, chapter 2.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:
Video of class (downloadable)
 Jan. 25
In Lecture:
 Proof of the recipe for finding optimal strategies in a twoperson twooption zero sum game
Associated Reading:
 On Bullshit (entire book)
 FAPP = For all Practical Purposes, Chapter 15.1
 How math can save your life, chapter 2.
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)

Jan. 30
In Lecture:
 Three by three games
 The three planes arising from the rock paper scissors game. The
lower left corner is at the point (p_1,p_2,z) = (0,0,1). The three planes are the graphs of the functions giving the expected payoff as a function of (p_1,p_2,1p_1p_2) played by player 1 against the three pure strategies of player 2.
Linear programming problems
Associated Reading:
 FAPP, Chapter 15.2
 How math can save your life, chapter 2
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 Feb. 1
In Lecture:
 Linear programming problems: Real world examples.
 Statement of how optimal game theory strategies relate to linear programming
Associated Reading:
 FAPP, Chapter 15.2
 How math can save your life, chapter 2
 Pages 736739 of Raghavan's article on zero sum two person games
 The part of this Wikipedia article on linear programming up to the section titled "Augmented form (slack form)".
Video of class (downloadable)  to be posted

Feb. 6
No in class meeting today. Instead, please have a look at this Video (downloadable)
giving an example of how to find optimal strategies via linear programming and the use of vertices.
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Note: Skype office hours will be at 10 p.m. tonight. Please send ted an email if you could like to be part of these office hours.
 Feb. 8
No class: Cancelled due to the Eagles parade!

Feb. 13
In Lecture
 More on converting game theory problems to linear program
 Solving linear programming problems with vertices
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 Feb. 15
In Lecture
 The Rock Paper Scissors game via linear programming
 Polynomial time problems
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)

Feb. 20
In Lecture
 Proof that optimal strategies can be determined by linear programming
 Beginning of the proof that linear programming problems have soliutions
 Open and closed subsets of R^n
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 Feb. 22
In Lecture
 End of the proof that linear programming problems have solutions.
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)

Feb. 27
In Lecture
 Review and discussion of homework 3
Associated Reading:
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 March 1
In Lecture
Associated Reading:
 How math can save your life, chapter 2
 These notes on linear programming problems and finding optimal strategies.
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)

March 13
In Lecture
 Applications to the 3 by 3 B.S. model
 The difference between diplomacy and B.S.
 When people are neutral about B.S., it is an optimal strategy.
 Proof that one can solve linear programming problems using vertices
Associated Reading:
 These notes on linear programming problems and finding optimal strategies.
 Pages 736739 of Raghavan's article on zero sum two person games
Video of class (downloadable)
 March 15
In Lecture:
 End of the proof that one can solve linear programming problems using vertices
 Zombie epidemic models
Associated Reading:
Video of class (downloadable)

March 20
In Lecture:
 Zombie epidemic models, continued
 Autonomous ordinary differential equations
Associated Reading:
Video of class (downloadable)
 March 22
In Lecture:
 Using matrix exponentials to find explicit solutions of autonomous systems of ordinary differential equations
 Stability and linear stability of ordinary differential equations
 Eigenvalues of matrices
Associated Reading:
Video of class (downloadable)

March 27
In Lecture:
 Jordan canonical forms and their exponentials
 Testing when two by two matrices have eigenvalues with negative real parts
 Equilibria of the updated zombie model
Associated Reading:
Video of class (downloadable)
 March 29
In Lecture:
 Stability analysis of the updated zombie model
Associated Reading:
Video of class (downloadable)

April 3
In Lecture:
 Completion of the analysis of the updated zombie model
 Beginning of Probability theory
 Calculation of probabilities for finite sample spaces by counting and combinatorics
Associated Reading:
Video of class (downloadable)
 April 5
In Lecture:
 Using maple to plot vector fields
 Permuations and Combinations
 Multinomial theorem
 Sigmaalgebras and the borel subsets of the real numbers
 Probability density functions
Associated Reading:

April 10
In Lecture:
 Review for the midterm: Autonomous differential equations, stability and linear stability, modeling.
 Conditional probability
 Bayes theorem
 Updating prior estimates of probabilities using new observations
Associated Reading:
Video of class (downloadable)
 April 12
In Lecture:

April 17
In Lecture:
 Independent events
 Random variables
 Density functions and distribution functions
 Expectations and standard deviations
 Constructing new random variables from old ones
Associated Reading:
 April 19
In Lecture:
 Central limit theorem
 Poisson distributions
 Graph theory
Associated Reading:
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
