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:
- Multi-option, 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 736-739 of Raghavan's article on zero sum two person games
Homework:
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Jan. 28
In Lecture:
- Proof of the recipe for finding optimal strategies in a two-person two-option zero sum game
Associated Reading:
- FAPP = For all Practical Purposes, Chapter 15.1
- How math can save your life, chapter 2.
- Pages 736-739 of Raghavan's article on zero sum two person games
Homework:
| Jan. 30
In Lecture:
- The inverse problem for two-person, two-option zero sum games.
Associated Reading:
- FAPP = For all Practical Purposes, Chapter 15.1
- How math can save your life, chapter 2.
- Pages 736-739 of Raghavan's article on zero sum two person games
Homework:
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Feb. 4
In Lecture:
- The inverse problem for two-person, 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 736-739 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_2,1-p_1-p_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 736-739 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 736-739 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 736-739 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 736-739 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 736-739 of Raghavan's article on zero sum two person games
Homework:
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Feb. 25
In Lecture
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March 3
In Lecture
|
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:
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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. 236-238, 312.
Homework:
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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:
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April 21
Associated Reading:
Homework:
| April 23
Associated Reading:
Homework:
Optional Extra Credit associated with homework assignment 6 (return by May 7).
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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
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