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.
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Internet Links
15. Linear algebra: International
Linear Algebra Society | definitions
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games and
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03 Logic:
fallacy
|| Dantzig
at Stanford
|| Kantorovich
| Nash
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90. Operations research, mathematical programming:
| Mathematical
Programming Glossary | FAQ
on LP |
| Bibliography
for Discrete Event Systems Simulation: Optimization and Sensitivity Analysis
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| Global
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| Mathematical
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salesman | Interesting
Models |
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Management Science | INFORMS
Online | Michael Trick's
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Opportunities for
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simplex
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91 Game theory, economics, social and behaivioral
sciences: | Game
of Life | 2
| | games
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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
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college math: Dave's
Tables Cool Math MBoneAsk
Dr. Math Common
UG math errors WEB
Tutorials
| Mathematics Journal
for Undergraduates | math
jokes more: 2
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math instr manual
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lists by elion | www.medianet.libraries.psu.edu
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advising
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 |