Teaching and Advising

by L.N.Vaserstein

Spring 2003

Math 486, Game Theory    TR  8-9:15 am,         105 Osmond
 textbook: Introduction to Game Theory by P.Morris, Springer Verlag
 outlines & grading | integrity |
office hours:  TR 9:25-11:00 am.  205 MB

homework  1, 20 pts. due 8:00 am Th, Jan. 23. Restricted Nim.  Player can take 1,2, or 5 stones from a pile.
The last move wins. Two piles, 10 and 100 stones.

homework  2,  30 pts. due 8:00 am Th, Jan. 30. Blackjack. Player has 10+5. Dealer shows 9. Cards left: 3,3, 5, 7.

Jan. 30. Probability of blackjack (i.e., 21 in two cards) is  2*(1/13) *(4/13 ) for many decks,
and   (1/13)*(16/51)+  (16/52)*(4/51) for one deck.
Without coupons, using an optimal strategy  in blackjack, you loose 1-10% of your bet (depending on rules).
Your are welcome to solve our version of blackjack and report your solution in class for bonus points.

Midterm 1 on February 11.   solutions  | pictures |

100%=134 pts after homework 3.

Homework 4:, 30 pts, due Tue. March 4, 8 am: solve the matrix game
  2   0 -3   2
-3   1   2 -7
-6 -5   1   4

Midterm 2 on March 20. solutions.| pictures |
100%=248 pts after m2.

Homework 5, due Tue. April 1, 30 points. Find the arbitration pair (do the Nash bargaining):
 
6, 0 3, 1 0, 2 4, 9
-1, -2 3, 8 4, -4 0, 1
-2, 7 0, -1 2, 6 3, -2

100%=303 pts after h6.
Midterm 3. Solutions. pictures.
Finding the arbitration triple in Problem 2 was regraded as a 6 bonus point problem.
100%=363 pts after m3, and after classes are over.

Repeated Prisoner's Dilemma. 2 bonus pts were added to every of 10 students who participated.


PSU links

SPIRIT  || PSU OR    |    Colloquium Fall 2000   || blue book |
| PSU auctionsPSU algebra and number theory  (with OR at math dept)|
math undegrad  | coop  |  free lunch  | academic integrity  (what is cheating)|
| feedback     (send anonymous email to professor)  |  F03 math sch. draft |
Socrates   | errors lead to disasters | entering grades   by elion |
| National Security Education Program |   wiser    |  jobs  | PSU calendar | |  MURE

Internet Links

15. Linear algebra:  International Linear Algebra Society   | definitions |
games and math programming  |
03 Logic: fallacy ||  Dantzig    at Stanford || Kantorovich | Nash |
90. Operations research, mathematical programming:   | Mathematical Programming Glossary  | FAQ on LP |
     |   Bibliography for Discrete Event Systems Simulation: Optimization and Sensitivity Analysis    |
     |   Global optimization page (U Wien) | Global optimization page (BU) |
     |   Mathematical Optimization TU Braunschweig     |  traveling salesman   | Interesting Models   |
     | Applied Management Science   |  INFORMS Online   | Michael Trick's Operations Research Page  |
Opportunities for Research Funding in Operations Research / Management Sciences |
simplex |
91  Game theory, economics, social and behaivioral sciences: Game of Life  | 2 | |  games   |
blackjack  | blackjack| Nim  || car &goats (the Monty Hall problem) | 2 | 3 |4 | 5 | games and math programming  |
cellular automata | combinatorial game theory | Mathematical Psychology  |
Edication: A.Toom  |
college math:   Dave's Tables Cool Math  MBoneAsk Dr. Math   Common UG math errors   WEB Tutorials
| Mathematics Journal for Undergraduates  |  math jokes   more:    2 | 34  | 5   |


 math instr  manual | class lists by elion | www.medianet.libraries.psu.edu |

 advising

Spring 2000    |   Fall 2000   | Spring 2001  |  Fall 2001 Roe | Spring 2002  || Fall 2002  Math 436  |Math 486 ||
textbook on linear programming:

Introduction to Linear Programming,  Prentice Hall, 2003.
title page: ps | pdf ||  copyright page:  ps | pdf ||  contents&preface: ps | pdf || student's manual: ps | pdf  |
corrections |
 
Resume

Research

Publications

Graduate Students

Home Page

Pictures