April of 2003

submitted strategies:

1. Since we are playing the game for many turns we need to be semi-cautious
of risk

moves (cooperate moves since they can be bad if he defects). The first
2 moves

of the opponent should be c. Subsequent moves should be played
according to

tit for tat with looking at whatever opponent has done on previous
moves..

2. For the prisoner's dilemma extra credit.... i want to defect on every move.

2. I would always confess. Then the worst I can do is tie my opponent.

3. Step 1. Start by cooperating.

2->n. Calculate the probability of the other player(s) cooperating
based on

their past decisions. If probability of cooperating is >= .5
then

cooperate, else do not cooperate.

4. Betray on the first move.

Do what the opponent did on the previous move (betray if he betrayed

previously, cooperate if he cooperated previously).

5. flip a fair coin 5 times: heads i will say nothing, tails i

will confess. on every six time i will say nothing to insure
that i say

nothing more than i confess.

6. Cooperate the first game. After that, defect every 4th time.

7. My strategy is use tic-for-tat. I

would cooperate on the first meeting, and then after that I would just
always

repeat my opponent's last move. Therefore, if he defects, I will
defect, and

if he cooperates, I will cooperate.

7. Start by cooperating in the first round. After that, do whatever
the other

player did the previus round. (tit-for-tat strategy)

8. Hello, my strategy for the continuous prisoner's dilemma is to start
out

cooperating for 2 rounds. Then betray for the the same amount
your opponent

betrayed you up to that point [in the previous two rounds - LV]
.Then start over [with c, c - LV].

game from the textbook | c | d |

c | -2, -2 ( bonus points: 8,8;cc=8) | -10, -1 (bonus points: 0, 9;cd=0) |

d | -1, -10 (bonus points 9,0;dc=9) | -5, -5 (bonus points: 5,5;dd=5) |

Results of tournament:

(each rows describes payoofs for the corresponding strategy)

1 | 2 (two) | 3 | 4 | 5 | 6 | 7 (two) | 8 | |

1 | cc | dd | cc | cc | cc/3+cd/4+dc/4+dd/6 | (2cc+cd+dc)/4 | cc | cc |

2 | dd | dd | dd | dd | (2.5dd+3.5dc)/6 | (3dc+dd)/4 | dd | dd |

3 | cc | dd | cc | (dc+cd)/2 | (3.5cc+2.5cd)/6 | (3cc+cd)/4 | cc | cc |

4 | cc | dd | (dc+cd)/2 | dd | cc/3+cd/4+dc/4+dd/6 | (2cc+cd+dc)/4 | (cd+dc)/2 | (cc+cd+dc)/3 |

5 | cc/3+cd/4+dc/4+dd/6 | (2.5dd+3.5cd)/6 | (3.5cc+2.5dc)/6 | cc/3+cd/4+dc/4+dd/6 | 3cc/8+5(cd+dc+dd)/24 | (5cc+2cd+4dc+dd)/12 | cc/3+cd/4+dc/4+dd/6 | |

6 | (2cc+cd+dc)/4 | (3cd+dd)/4 | (3cc+dc)/4 | (2cc+cd+dc)/4 | (5cc+4cd+2dc+dd)/12 | (3cc+dd)/4 | (2cc+cd+dc)/4 | (2cc+cd+dc)/4 |

7 | cc | dd | cc | (dc+cd)/2 | cc/3+cd/4+dc/4+dd/6 | (2cc+cd+dc)/4 | cc | cc |

8 | cc | dd | cc | (cc+cd+dc)/3 | (2cc+cd+dc)/4 | cc | cc |

Bonus points multiplied by 10:

1. 41cc/6+ cd/2+ dc/2 + 13dd/6 = 70 .

2. 4dc/3+26dd/3=55+1/3 ~ 60.

3. 5cc+2dd+(dc+cd)/2+(3.5cc+2.5cd)/6+(3cc+cd)/4=19cc/3+7cd/6+dc/2+2dd=65+1/6
~ 70.

4. cc+3dd+(dc+cd)+(dc+cd)/2+(2cc+cd+dc)/4+cc/3+cd/4+dc/4+dd/6+(cc+cd+dc)/3=
{13 cc + 14 cd + 14 dc + 19 dd)/6=325/6 ~ 50 .

6. (2cc+cd+dc)/4+(3cd+dd)/2+(3cc+dc)/4+(3cc+dc)/4+(5cc+4cd+2dc+dd)/12+(3cc+dd)/4+(2cc+cd+dc)/2+(2cc+cd+dc)/4
=

(28cc+17cd+10dc+5dd)/6=113/2 ~ 60.

7. 5cc+2dd+(dc+cd)/2+cc/3+cd/4+dc/4+dd/6+(2cc+cd+dc)/4
=(35cc+6cd+6dc+13dd)/6=133/2 ~ 70.

Computing result of matching 5 with 8 is difficult, so I take average
of 9 matches. Bonus points multiplied by 9:

5. cc/3+cd/4+dc/4+dd/6+(2.5dd+3.5cd)/3+(3.5cc+2.5dc)/6+cc/3+cd/4+dc/4+dd/6+3cc/8+5(cd+dc+dd)/24+(5cc+2cd+4dc+dd)/12+2(cc/3+cd/4+dc/4+dd/6)
~ 45.

8. 5cc+2dd+(cc+cd+dc)/3+(2cc+cd+dc)/4 ~ 63.

% /.{cc->8,dd->5,cd->0,dc->9}

% /.{cc->1,dd->1,cd->1,dc->1}

`1 c c c c d c c c d`
`6 c c c d c c c d c`

period 4

4 d c

7 c d

period 2

3 c d c d c d

4 d c d c d c

period 2

4 d c c d c c

8 c c d c c d

period 3

6 c c c d c c c d c c c d c

8 c c c c d c c c c d c c d

period 8