Professor of Mathematics and Statistics
Office Hours for Fall 2009: MWF or by appointment.
Department of Mathematics and Statistics
317 Damen Hall
phone: (773) 508-3575
If you want to send me an email message click on
the address below:
Classes for Fall 2009
These classes are accessed through www.blackboard.luc.edu. You get on to Blackboard using your Loyola userid and Password.
GAME THEORY BOOK AND SOFTWARE
Text: Game Theory, An Introduction, by E.N.Barron, published by John Wiley & Sons, Inc., 2008. Buy from AMAZON.COM
All errors will be available by clicking here Game Theory, An Introduction: Errata
The replaced pages in the book with the corrected errors are available by clicking
All Errors as of November 10, 2009.
Maple worksheets for the class:Chaps 1 & 2
I have written a procedure to find the Shapley Value for any N-person Cooperative game given the characteristic function. In addition it gives a systematic way to find the Nucleolus of the game. You may download this worksheet by clicking on Shapley-Nucleolus.
All of the figures in the book which were created with Maple can be downloaded by clicking on Figures.
Important game solving links:
1. Gambit –This is a program which will solve any N-player nonzero sum game. As a particular case, it can solve any zero sum 2 person game by entering the payoffs as a_ij for Player I and –a_ij for Player II.
Dr. Barron received his PhD in 1974 in Mathematics from Northwestern University specializing in Partial Differential Equations and Differential Games. In 1972 he received an M.S. degree in Applied Mathematics from Northwestern University, and in 1970 he received a B.S. degree in Mathematics from the University of Illinois at Chicago. His research interests include partial differential equations, calculus of variations, optimal control and differential game theory, stochastic processes, probability theory, mathematical finance, and game theory. He has been the recipient of numerous National Science Foundation grants, Air Force Office of Scientific Research Grants, and has been named a Master Teacher in the College of Arts and Sciences.