## 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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03 Logic: fallacy ||  Dantzig    at Stanford || Kantorovich | Nash |
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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  |
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