What number would you choose?

[tabako]

First day of my game theory class today, and we played this game (winner gets extra credit on first midterm):

Everybody chooses an integer 0-100. Take the average of all of the submitted numbers and then multiple the average by (2/3). Winner is the person that picks the integer closest to that product (if multiple people choose the closest, they each receive the extra credit).

Class of ~20, for those that think it would change their number.


P.S., sorry about ST:TNG, but I was out of town for the weekend and I came back to a computer whose OS will not load. I probably won't be posting much this week, but will try to have a working computer for vendetta 2, which should be a lot of fun.

[MDoranD]

I would take 15...depends though..how smart are these people?

[Stephen H]

True answer. What do you think of your classmates?
Maybe you can all answer 0 and hope to share the extra credit with the whole class.

[lastchance]

I answer 0, hoping my classmates are intelligent.

[fmxda]

I think 0 and 1 are both Nash equilibria. I would go with 1. The actual correct answer depends hugely on how insightful your classmates are.

[lastchance]

Yeah, that's right. I'm thinking, if they're smart go with 0, otherwise go with 1.

[RoundTower]

[ QUOTE ]
I think 0 and 1 are both Nash equilibria. I would go with 1. The actual correct answer depends hugely on how insightful your classmates are.

[/ QUOTE ]
How is 1 a Nash equilibrium? If everyone goes 1 you should go a little bit under 2/3.

I think you should go around 10-15, if this is a first year introduction to game theory type class most people will be thinking on the 2nd level or so.

[Spook]

0 doesn't do anything for you if the class is weighted.