Monday 
Wednesday 
Friday 
Jan. 9
No class
 Jan. 11
In Lecture:
 Overview of the course
 Two person games and the media: Why are so many news stories false?
 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.
Homework:
A nice example of B.S.
Video of class (downloadable)
 Jan. 13
In Lecture:
 Mixed strategies in two person games
 Dominant strategies
 Optimal strategies for two person two option zero sum games
 Speakers vs. Listeners: The twooption case.
Associated Reading:
 On Bullshit (entire book)
 FAPP, Chapter 15.2
 How math can save your life, chapter 2.
Condoleeza Rice on how the government tries to shut down news stories
Video of class (downloadable)

Jan. 16
No class, Martin Luther King holiday
 Jan. 18
In Lecture:
 Speakers vs. Listeners: The twooption case, conclusions
 Extremism
Associated Reading:
Video of class (downloadable)
 Jan. 20
In Lecture:
 Extremism: Why parties out of power make those in power out to be extremists
 maximin, minimax and saddlepoints
 For two person two option zero sum games, dominant strategies exists if and only if saddlepoints do. This is not true of larger games.
 Why speaking bullshit and expecting bullshit form a saddlepoint in the absence of credibility.
Associated Reading:

Jan. 23
In Lecture:
 How can lying be a dominant political strategy? Expansion of the game theory model.
 Saddle points and dominant strategies in two person two option zero sum games.
Associated Reading:
 Jan. 25
In Lecture:
 Completion of the proof that in the 2 by 2 case, saddlepoints exists if and only if dominant strategies do.
 For arbitrary zero sum games, if there is a dominant strategy there is a saddlepoint.
 Statement of the fundamental theorem of game theory.
Associated Reading:
Video of class (downloadable)  to be posted
 Jan. 27
In Lecture:
 Against a fixed strategy, there is a an optimal mixed strategy which is pure
 Proof of the fundamental theorem for two by two games.
Associated Reading:
Video of class (downloadable)

Jan. 30
In Lecture:
 Completion of the proof of the fundamental theorem for twoperson twooption zero sum games
Associated Reading:
Video of class (downloadable)
 Feb. 1
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.
Associated Reading:
Video of class (downloadable)
 Feb. 3
In Lecture:
 Linear programming problems
 Statement of how optimal game theory strategies relate to linear programming
Associated Reading:
Video of class (downloadable)

Feb. 6
In Lecture:
 Dual linear programming problems
 Examples
Associated Reading:
Video of class (downloadable)
 Feb. 8
In Lecture:
 Proof of the equivalence of game theory and linear programming
 Using vertices to solve linear programming problems
Associated Reading:
Homework:
Video of class (downloadable)
 Feb. 10
In Lecture:
Associated Reading:

Feb. 13
In Lecture:
 Applying linear programming to solve a 2 by 3 game.
Associated Reading:
Video of class (downloadable)
 Feb. 15
In Lecture:
 The 3 by 3 BS model involving only the listeners view of reality and the speaker's credibility
Associated Reading:
Video of class (downloadable)
 Feb. 17
In Lecture:
 Calculating vertices in the BSmodel
Associated Reading:
Video of class (downloadable)

Feb. 20
In Lecture:
 End of the discussion of the 3 by 3 BS model that takes into account only credibility
Associated Reading:
Video of class (downloadable)
 Feb. 22
In Lecture:
 The 3 by 3 BS model which considers only the benefit of lying
 Finding natural bases for n by m payoff matrices via the Gram Schmidt process.
Associated Reading:
Video of class (downloadable)
 Feb. 24
In Lecture:
 Proof the linear programming problems have solutions.
Associated Reading:
Video of class (downloadable)

Feb. 27
In Lecture:
 Beginning of the proof that linear programming problems can be solved using vertices
Associated Reading:
Video of class (downloadable)
 March 1
In Lecture:
 End of the proof that linear programming problems can be solved using vertices
Associated Reading:
Video of class (downloadable)
 March 3
Video Lecture (no class meeting today):
 Partial conflict games
 Nash equilibria
Associated Reading:
 FAPP, Chapters 15.3 and 15.4
Video lecture (downloadable)

March 6
No class  spring break!
 March 8
No class  spring break!
 March 10
No class  spring break!

March 13
In Lecture:
Associated Reading:
Video of class (downloadable)
 March 15
In Lecture:
 Zombie epidemic models, continued
Associated Reading:
Video of class (downloadable)
 March 17
In Lecture:
 Autonomous ordinary differential equations
Associated Reading:
Video of class (downloadable)

March 20
In Lecture:
 Stability and linear stability of ordinary differential equations
 Jordan canonical forms
Associated Reading:
Video of class (downloadable)
 March 22
In Lecture:
 Applications to the zombie epidemic model
Associated Reading:
Video of class (downloadable)
 March 24
In Lecture:
 Discussion of possible term projects
 Jordan canonical forms and their exponentials
 Matrices with dependent rows have an eigenvalue equal to 0

 Finding explicit solutions of autonomous systems of ordinary differential equations
Associated Reading:
Video of class (downloadable)

March 27
In Lecture:
 Stability conditions for equilibria
 Testing when two by two matrices have eigenvalues with negative real parts
 Eigenvectors and finding explicit solutions of differential equations.
 An updated zombie model incorporating interactions with reality
Associated Reading:
Video of class (downloadable)
 March 29
In Lecture:
 Analysis of the updated zombie model
Associated Reading:
Video of class (downloadable)
 March 31
In Lecture:
 End of discussion of zombie models
 Review for the midterm on April 3
Associated Reading:
Video of class (downloadable)

April 3
In Lecture:
 Second Midterm. The topics are partial conflict games and analyzing mathematical models using autonomous systems of differential equations.
Associated Reading:
 April 5
In Lecture:
 Beginning of Probability theory
 Calculation of probabilities for finite sample spaces by counting and combinatorics
 Permuations and Combinations
Associated Reading:
 FAPP, Chapters 15.3 and 15.4
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
Video of class (downloadable)
 April 7
In Lecture:
 The multinomial theorem
 Continuous probabilities and density functions
Associated Reading:
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
 Probability and Statistics, 2nd edition, by Morris deGroot, section 1.9
Chapter 3.13.5.
Video of class (downloadable)

April 10
In Lecture:
Associated Reading:
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
 Probability and Statistics, 2nd edition, by Morris deGroot, section 1.9
Chapter 3.13.5.
Video of class (downloadable)
 April 12
In Lecture:
 Conditional probability
 Bayes theorem
Associated Reading:
 FAPP, Chapters 15.3 and 15.4
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
Video of class (downloadable)
 April 14
In Lecture:
 Random variables
 Distribution and Density functions
 Expectation, Mean, Variance and Standard deviation
br>Associated Reading:
Video of class (downloadable)

April 17
In Lecture:
 Scheduling of project presentations
 Conditional probability and prejudice
 The expectations of a sum of random variables is the sum of the expectations
Associated Reading:
 FAPP, Chapters 8.1, 8.2
 Probability and Statistics, 2nd edition, by Morris deGroot.
Video of class (downloadable)
 April 19
In Lecture:
 The variance of a sum of independent random variables is the sum of their variances
 The central limit theorem
 Examples of the central limit theorem
 Markov chains
br>Associated Reading:
No Video of class  technical difficulties!
 April 21
In Lecture:
 The equilibrium probability distribution of a Markov chain
Associated Reading:
Video of class (downloadable)

April 24
In Lecture:
 Project presentation: Mathematical sociology (Bartholf, Fini and Hawthorne)
 Project presentation: The evolution of cooperation (Brandt, Dura and Haidermota)
Video of class (downloadable)  to be posted
 April 26
In Lecture:
 Project presentation: Expander graphs and their applications (Chan, Norleans and Sheth)
 Project presentation: Mathematics of Choice (Theory group) (Macropulos, KennedyMoore, Velliquette and Zou)
 April 28
No class

May 1
Reading days, no class
 May 3
Reading days, no class
 May 5
Reading days, no class

May 8
Final class (Written projects due) in Room A6 of DRL labs, 9:00 a.m.  11:00 a.m.
 Project presentation: Mathematics of Choice (App Group) (FisherCobrie, Friedler, Henry and Morton)
 Project presentation: The page rank algorithm (Flick, Silkov, Weinstein and Zessar)
 Project presentation: How not to be wrong (Klausner, Sethudmadhavan and Sherwin)
 Project presentation: Information theory (Gumina, Delany and Luo)
 May 10
No class
 May 12
No class
