Tuesday 
Thursday 
Jan. 14
No class
 Jan. 16
In Lecture:
 Overview of the course
 Two person games and the media: Why is BS 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.
Homework:
A nice example of B.S.

Jan. 21
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.
Homework:
 Jan. 23
In Lecture:
 Multioption, two person zero sum games
 Dominant strategies, maximins, minimaxes and saddlepoints
 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.
 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:

Jan. 28
In Lecture:
 Proof of the recipe for finding optimal strategies in a twoperson twooption zero sum game
Associated Reading:
 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:
 Jan. 30
In Lecture:
 The inverse problem for twoperson, twooption zero sum games.
Associated Reading:
 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:

Feb. 4
In Lecture:
 The inverse problem for twoperson, two option zero sum games, continued.
Associated Reading:
 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:
 Feb. 6
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 = 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:

Feb. 11
In Lecture:
 Steps in writing mathematical arguments
 In class discussion of homework 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
 These notes on linear programming problems and finding optimal strategies.
 The part of this Wikipedia article on linear programming up to the section titled "Augmented form (slack form)".
Homework:
 Feb. 13
In Lecture
 Linear programming problems: Real world examples.
 Converting game theory problems to linear programming problems
 Solving linear programming problems with vertices
Associated Reading:
 These notes on linear programming problems and finding optimal strategies.
 The part of this Wikipedia article on linear programming up to the section titled "Augmented form (slack form)".
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:

Feb. 18
In Lecture
 A two by three game coming from political advertising
Associated Reading:
 These notes on using linear programming to study advertising.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:
 Feb. 20
In Lecture
 A two by three game coming from political advertising, continued
 Beginnnig of the proof that optimal strategies can be determined by linear programming
Associated Reading:
 These notes on using linear programming to study advertising.
 These notes on linear programming problems and finding optimal strategies.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:

Feb. 25
In Lecture
 Proof that optimal strategies can be determined by linear programming, continued
Associated Reading:
 These notes on linear programming problems and finding optimal strategies.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:
 Feb. 27
In Lecture
 End of the proof that optimal strategies can be determined by linear programming
 Beginning of the proof that linear programming problems have solutions
 Open and closed subsets of R^n
Associated Reading:
 These notes on linear programming problems and finding optimal strategies.
 Pages 736739 of Raghavan's article on zero sum two person games
Homework:

March 3
In Lecture
 Midterm exam. The results of the exam will be returned by email.
Homework:
 March 5
In Lecture
 Games which are not zero sum
 The prisoner's dillemma and the game of chicken.
Associated Reading:
 FAPP, Chapters 15.3 and 15.4

March 10
No class: Spring Break.
 March 12
No class: Spring Break.

March 17
No class: Spring Break.
 March 19
No class: Spring Break.

March 24
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Topics:
 Beginning of Probability theory
 Calculation of probabilities for finite sample spaces by counting and combinatorics
 Permuations and Combinations
 The multinomial theorem
Associated Reading:
 de Groot, "Probability and Statistics," 4th edition, sections 1.4 through 1.9.
 For all practical purposes, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
Homework:
 March 26
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Topics:
 Conditional probability
 Bayes theorem
Associated Reading:
 de Groot, "Probability and Statistics," 4th edition, sections 1.8, 2.1, 2.2, 2.3
 FAPP, Chapters 8.1, 8.2
 How math can save your life, p. 47  50
Homework:

March 31
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Associated Reading:
 de Groot, "Probability and Statistics," 4th edition, sections 3.1, 3.2, 3.3, 4.1, 4.2
 FAPP, Chapters 8.1  8.5.
 How math can save your life, p. 47  50
Homework:
 April 2
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Associated Reading:
 de Groot, "Probability and Statistics," 4th edition, sections 5.1, 5.2, 5.4, 5.6, 6.1  6.3
 FAPP, Chapters 8.1  8.5.
Homework:

April 7
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Associated Reading:
Homework:
 April 9
Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.
Associated Reading:
 de Groot, "Probability and Statistics," p. 236238, 312.
Homework:

April 14
 Please read over these Notes on epidemic models. After setting up a more general model, the notes discuss a special case which
is treated in this paper on epidemic models.
Associated Reading:
Homework:
 April 16
Associated Reading:
Homework:

April 21
Associated Reading:
Homework:
 April 23
Associated Reading:
Homework:
Optional Extra Credit associated with homework assignment 6 (return by May 7).

April 28
Associated Reading:
Homework:
Optional Extra Credit associated with homework assignment 6 (return by May 7).
Homework assignment 7 (due May 7).
 April 30
No Class
