Two Plus Two Newer Archives  

Go Back   Two Plus Two Newer Archives > Other Topics > Science, Math, and Philosophy
FAQ Community Calendar Today's Posts Search

View Poll Results: All in or call?
All in 37 57.81%
Call 27 42.19%
Voters: 64. You may not vote on this poll

Reply
 
Thread Tools Display Modes
  #1  
Old 08-07-2006, 06:10 PM
diddle diddle is offline
Senior Member
 
Join Date: Jan 2005
Posts: 656
Default An Economics Experiment (test your intuition)

Rules:

5 players
Each player is given a unique x-y coordinate grid from 0,100 and 0,100. The other players CANNOT see each other's payoff grid.

At each point on the grid is a payout. Ex. player 1 has $5 at (25,50). The payout is a function of distance from a given point.

For example, player 1 is paid $5 at (25,50) and is paid exponentially less at a given distance from that point. Perhaps (10,50) pays $1 for player1. The actual numbers and function do not matter, just use them as an idea.





Here is the chart showing maximum payoffs for each player.



OBJECT OF THE GAME:
The game begins on (0,0). Any player may nominate a point to move to. A majority vote moves the game to that point. Any player may nominate the game to end at any given point. A unanimous decision ends the game and each player will be paid according to his own payoff chart.

Discussion allowed: anything goes, but no threats, and no player may mention his payoff sheet numbers.


MAX TOTAL PAYOFF for group means just that. The sum of players 1-5 payoff is maximized at that point.
Reply With Quote
  #2  
Old 08-07-2006, 06:14 PM
Sephus Sephus is offline
Senior Member
 
Join Date: Aug 2004
Posts: 3,994
Default Re: An Economics Experiment (test your intuition)

are we doing your homework?
Reply With Quote
  #3  
Old 08-07-2006, 06:14 PM
diddle diddle is offline
Senior Member
 
Join Date: Jan 2005
Posts: 656
Default Re: An Economics Experiment (test your intuition)

No
Reply With Quote
  #4  
Old 08-07-2006, 06:28 PM
Sephus Sephus is offline
Senior Member
 
Join Date: Aug 2004
Posts: 3,994
Default Re: An Economics Experiment (test your intuition)

seems like player 3 takes it.
Reply With Quote
  #5  
Old 08-07-2006, 06:38 PM
PLOlover PLOlover is offline
Senior Member
 
Join Date: Jun 2005
Posts: 3,465
Default Re: An Economics Experiment (test your intuition)

[ QUOTE ]
A majority vote moves the game to that point. Any player may nominate the game to end at any given point. A unanimous decision ends the game and each player will be paid according to his own payoff chart.

[/ QUOTE ]

Seems like a lone dissenter can use his veto power to end the game in order to undermine the majority move rule.
Reply With Quote
  #6  
Old 08-07-2006, 07:29 PM
diddle diddle is offline
Senior Member
 
Join Date: Jan 2005
Posts: 656
Default Re: An Economics Experiment (test your intuition)

[ QUOTE ]
[ QUOTE ]
A majority vote moves the game to that point. Any player may nominate the game to end at any given point. A unanimous decision ends the game and each player will be paid according to his own payoff chart.

[/ QUOTE ]

Seems like a lone dissenter can use his veto power to end the game in order to undermine the majority move rule.

[/ QUOTE ]

He could vote to never end the game, but in practice this is not in his best interest.
Reply With Quote
  #7  
Old 08-08-2006, 03:30 AM
madnak madnak is offline
Senior Member
 
Join Date: Aug 2005
Location: Brooklyn (Red Hook)
Posts: 5,271
Default Re: An Economics Experiment (test your intuition)

You've got it backwards. He could play according to game theory, but in real life it would usually be -EV.
Reply With Quote
  #8  
Old 08-08-2006, 02:27 PM
Vivalution Vivalution is offline
Senior Member
 
Join Date: Apr 2005
Location: Fluctuating!
Posts: 409
Default Re: An Economics Experiment (test your intuition)

I would think it most likely the group would end at player 1's point. Since the group is unable to mention their payout and their grid location, the majority would always want to move right and left, until they hit point one. Once they hit point 1, player 1 will no longer vote to move up or right, so movement will cease.
Reply With Quote
  #9  
Old 08-08-2006, 02:45 PM
diddle diddle is offline
Senior Member
 
Join Date: Jan 2005
Posts: 656
Default Re: An Economics Experiment (test your intuition)

[ QUOTE ]
You've got it backwards. He could play according to game theory, but in real life it would usually be -EV.

[/ QUOTE ]

This is actually a real life experiment that has been run many many times. So no, I don't have it backwards. [img]/images/graemlins/tongue.gif[/img]
Reply With Quote
  #10  
Old 08-08-2006, 03:38 PM
tolbiny tolbiny is offline
Senior Member
 
Join Date: Mar 2004
Posts: 7,347
Default Re: An Economics Experiment (test your intuition)

It seems like player 1 should dominate this, as weather the payout is above, below or left or right of his payout he will always be able to find two allies to vote to bring it closer to him in some way or another. Without him a majority for an actual move can't be established without another player voluntarily sacrificing some EV.
Reply With Quote
Reply


Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT -4. The time now is 11:57 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.