You've got 10 seconds to save your family

[Hawkeye]

Words Of Wisdom said:

No.

Let's analyze:

	They're bluffing	They will kill the family
I jump	I die, family lives	I die, family dies
I don't jump	I live, family lives	I live, family dies

If they're going to kill my family then it doesn't matter whether or not I jump.  If they're bluffing on the death threat then I live as long as I don't jump.

Best Outcome
Worst Outcome

 

Dominant strategy for the win! Great useage of game theroy/prisoners dillemma right there.