Public Lectures on Probability and Finance by Glenn Shafer, January 28--April 29, 2002.
During the Spring 2002 semester, Glenn Shafer will give a series of public lectures explaining the main ideas in his recent book with Volodya Vovk, Probability and Finance: It's Only a Game (http://www.cs.rhul.ac.uk/home/vovk/book/). The lectures will be on Mondays, from January 28 through April 29, at 2:00 pm in Room 215 MEC (Management Education Center) in Newark. For directions to the Management Education Center, see http://www.rutgers.edu/kiosk/findplaces.shtml.
Here is a tentative list of topics for the lectures.
1. January 28. Introduction to Game-Theoretic Probability
Download Glenn’s transparencies: postscript or pdf or rtf
2. February 4. The Martingale Proof of the Strong Law of Large Numbers
Download Glenn’s transparencies: postscript or pdf or rtf
3. February 11. The Game-Theoretic Capital Asset Pricing Model
Download article by Vovk and Shafer: http://www.cs.rhul.ac.uk/home/vovk/book/
Download Glenn’s transparencies: postscript (no pdf file available)
4. February 18: Probability, Price, and the Central Limit Theorem
Download Glenn’s transparencies: postscript or pdf
5. February 25: Black-Scholes Pricing: Stochastic and Game-Theoretic
Download Glenn’s transparencies: postscript or pdf
6. March 4: Lindeberg and Bachelier
7. March 11: Hedging Error in Discrete Time
March 18: Spring Break for Rutgers
8. March 25: Introduction to Non-Standard Analysis
9. April 1: Game-Theoretic Black-Scholes Pricing in Continuous Time
10. April 8: The One-Sided Central Limit Theorem and American Options
11. April 15: Game-Theoretic Statistics
12. April 22: Game-Theoretic Causality
13. April 29: Game-Theoretic Probability in Economics