Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Two envelopes, with money and a twist


  • Please log in to reply
4 replies to this topic

#1 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5811 posts
  • Gender:Male
  • Location:New York

Posted 24 November 2013 - 09:18 AM

Two envelopes, given one each to you and a friend, contain an amount of money between $5 and $160 inclusive, and one amount is twice the other amount. You look inside your envelope to see the amount you have received, but you do not disclose the amount. Your friend does the same. You see that you have received $x.

 

You may suggest a swap (a one-time exchange of envelopes) but you don't converse directly with your friend. Instead, a facilitator comes to each of you, in turn, and asks what you want to do. If and only if you both ask for a swap the envelopes are exchanged. You and your friend make your decisions independently and in ignorance of the decision made by the other. For what values of x will you favor swapping envelopes? Assume your friend acts reasonably and in his/her own best interest.


  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 harey

harey

    Junior Member

  • Members
  • PipPip
  • 81 posts
  • Gender:Male

Posted 24 November 2013 - 04:16 PM

Spoiler for I have a problem.

Edited by harey, 24 November 2013 - 04:19 PM.

  • 0

#3 wolfgang

wolfgang

    Senior Member

  • Members
  • PipPipPipPip
  • 777 posts
  • Gender:Male

Posted 24 November 2013 - 05:34 PM

Spoiler for According to


  • 0

#4 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5811 posts
  • Gender:Male
  • Location:New York

Posted 25 November 2013 - 12:26 AM

Spoiler for I have a problem.


Good start.
  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 ThunderCloud

ThunderCloud

    Advanced Member

  • Members
  • PipPipPip
  • 102 posts
  • Gender:Male
  • Location:New England

Posted 25 November 2013 - 02:19 AM

Spoiler for I think...


Edited by ThunderCloud, 25 November 2013 - 02:20 AM.

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users