Professor of Mathematics and Statistics
Office Hours for Spring 2012: 10-11,2:15-3:30 TTh or by appointment.
Department of Mathematics and Statistics
206 Loyola Hall
phone: (773) 508-3575
If you want to
send me an email message click on the address below:
Classes for Spring 2012
1. Introduction
to Probability and Statistics, Math/Stat 305, TTh
11:30-12:45, This course requires the textbook Introduction to Mathematical Statistics,
by Larsen and Marx (see the Course Description at www.luc.edu/math
2. Game
Theory, Math 360/406, TTh, 8:30-9:45.
The required textbook is Game Theory: An Introduction, by E.N.Barron,
3rd printing, Wiley, Inc. (see below for more information)
These classes are accessed through www.blackboard.luc.edu. You get on to Blackboard using your Loyola userid and Password.
GAME THEORY BOOK
Text: Game Theory, An Introduction, by E.N.Barron, published by John Wiley & Sons, Inc., 2008. Buy from AMAZON.COM, or Half.com
All errors will be available by clicking here Game Theory, An Introduction: Errata
The book is currently in the 3rd printing.
The following Maple and Mathematica worksheets were written to be used with the book. They are offered here with absolutely no warranty.
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. It is available directly from http://www.gambit-project.org,
by McKelvey, Richard D., McLennan, Andrew M., and Turocy, Theodore L. (2010). Gambit: Software Tools for Game
Theory, Version 0.2010.09.01.
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.