# Homework Help: Goofy answer when trying to solve the prisoner's dilemma (probability stuff)

1. Jul 21, 2012

### morrowcosom

1. The problem statement, all variables and given/known data
Trying to find optimal solution for row player. Deny=D Tattle=T. I am trying to do this without knocking out dominated alternatives.

D T
D -1,1 -10,0

T 0,-10 -6,-6

2. Relevant equations

3. The attempt at a solution
DD=p(-1)+(1-p)(-10) =-1p-10+10p =9p-10
DT=p(0)+(1-p)(-6) =-6+6p

9p-10=-6+6p
3p=4
p=4/3 (Huh?)

I do not know if my arithmetic is off, or I cannot solve the game by setting both equations equal because of the (0,-10) and (-10,0) scenarios.

Thanks for the help.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited: Jul 21, 2012
2. Jul 22, 2012

### HallsofIvy

It's not clear to me why you are doing that. There clearly is a dominant solution- both prisoners "tattle".