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-   -   What number would you choose? (http://archives1.twoplustwo.com/showthread.php?t=312459)

tabako 01-22-2007 07:13 PM

What number would you choose?
 
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 01-22-2007 07:19 PM

Re: What number would you choose?
 
I would take 15...depends though..how smart are these people?

Stephen H 01-22-2007 07:20 PM

Re: What number would you choose?
 
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 01-22-2007 07:23 PM

Re: What number would you choose?
 
I answer 0, hoping my classmates are intelligent.

fmxda 01-22-2007 07:26 PM

Re: What number would you choose?
 
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.

Spook 01-22-2007 07:27 PM

Re: What number would you choose?
 
0 doesn't do anything for you if the class is weighted.

lastchance 01-22-2007 07:28 PM

Re: What number would you choose?
 
Yeah, that's right. I'm thinking, if they're smart go with 0, otherwise go with 1.

fnord_too 01-22-2007 07:41 PM

Re: What number would you choose?
 
This was a POG Championship game one month

durron597 01-22-2007 08:01 PM

Re: What number would you choose?
 
[ QUOTE ]
This was a POG Championship game one month

[/ QUOTE ]

if you think your class is smart, pick something like 15. if you think they are dumb, go for something more like 22

Nicholasp27 01-22-2007 08:18 PM

Re: What number would you choose?
 
final week of class, everyone goes 0

first week of class, people go to level 2...so 100*2/3*2/3*2/3=30...so go 27


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