Please elaborate- i loved that movie, but did barely get the idea there were huge holes in their depiction of a complex topic. i could tell i was too uninformed to grasp the problem though. Its almost 11pm here in Cali, so i'll check your answers tomorrow!
Baby steps Bada:icon_mrgreen: I spend two lectures on this in my classes!!
Before we go into a beautiful mind, it's probably best to understand the classic example of game theory, which is the prisoners dilemma. When I teach this, I actually use the sopranos as an example!!
Two people are arrested for a small crime. They are caught red handed, and will both be sentenced to 1 year in prison each. However, the police suspect they are both guilty of a more serious crime, which will be punishable by 8 years in prison each with a guilty plea. If the case goes to trial and they are found guilty, they would get 10 years jail each (they don't get any credit for an early guilty plea). However, as it stands, the police don't have enough evidence to get a conviction in the more serious crime. So they employ a bit of game theory. The police put one prisoner in each room, and offers each the same deal. If you plead guilty and testify against the other prisoner in court, you will serve no jail time.
So there are four possible outcomes:
Neither prisoner confesses to the serious crime, both get 1 year in prison for the minor crime.
Both confess, there is no trial, and both prisoners get 8 years.
Prisoner 1 confesses, and prisoner 2 doesn't, prisoner 1 becomes star witness, gets no jail time, and prisoner 2 gets 10 years
Prisoner 2 confesses, and prisoner 1 doesn't, prisoner 2 becomes star witness, gets no jail time, and prisoner 1 gets 10 years.
If you are prisoner 1, what is your optimal strategy? Should you confess?
This is very well known, and if you google it you can get the answer, but what do you think Bada? Out of the 1000 students I teach a year, about 750 say don't confess.
The second question, is how do I intergrate the Sopranos? Up to this point in my class, I don't mention the Sopranos, but I do in the next bit....