Teaching and Advising

by L.N.Vaserstein

Spring of 2004

Math 486, Game Theory   TR  8-9:15 am. 105 Osmond.
textbook: Introduction to Game Theory by P.Morris, Springer Verlag.
office hours:  TR 9:30-11 am,  205 MB.
 outlines & grading
 integrity |


3 bonus homework problems were given. Deaadline: Feb. 5, 9:15 am.
Midterm 1 on Th, Feb. 5. (with solutions and pictures).

Homework 1, 10 pts,  due  Febr. 12, 8 am. Solve the matrix game
3 0 7 5
1 3 -1 5
8 2 1 3
Answer:
the value of game is 139/73  approx. 1.90411
the row player's  optimal  strategy is (26, 45, 2)T/73  approx.   0.356164,   0.616438,   0.0273973
the column player's  optimal strategy is   (2,  52, 19)/73  approx.   0.0273973,  0.712329,   0.260274

Homework 2, 10 pts due Febr. 24, 8 am. Solve LP given by standard tableau:
x1 x2 x3 -1
3 2 7* 1 = -x4
2 4 0 5 = -x5
-9 -2 5 2 -> max

Midterm 2 (with solutions), Tue, March 2. This about linear programming and matrix games.
Midterm 3 (with solutions and pictures), Tue April 20, 2004.

29 students,
W,W,WP,F,F,D,C,C,C,C+,B-,B,B,B,B,B,B+,A-,A-,...


PSU links

 math instr  manual | class lists by elion | www.medianet.libraries.psu.edu |
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| PSU auctions| PSU algebra and number theory  (with OR at math dept)|
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| feedback     (send anonymous email to professor)  |  F03 math sch. draft| | grader |
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| 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 behavioral sciences: Game of Life  | 2 | |  games   |
blackjack  | blackjack| Nim  || car &goats (the Monty Hall problem) | 2 | 3 |4 | 5 | games and math programming  | matrix game solver |
cellular automata | combinatorial game theory | Mathematical Psychology  |
Education: 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   |


my links:
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