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Article #2572

Re: "Cut & Choose" for several players

#2572
From: Robert Weinberg
Date: Tue, 26 Jan 1993 20:26
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In article <727745474snz@panache.demon.co.uk> raph@panache.demon.co.uk (Raphael  
Mankin) writes:
> The general rule is that the player who divides does not choose. This
> negative feedback prevents bias in the divisions -- assuming that there 
> are no collusions.A Byznatine generals' solution would be much more
> complex.
> 
> Player 1 divides the pile into a 1-portion and a (n-1)-portion. Player 2
> decides wehther he or player 1 gets the 1-portion. Whoever gets it drops
> out. The division the continues with n-1 players and   the (n-1)-portion.

If the first division is unfairly large (obvious to all but myopic player 1 who cut  
it), player 2 reaps a bonus which will be judged as an unfair portion by all the  
remaining players.
--
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Message-ID: <1993Jan26.202608.25363@informix.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!tcsi.com!iat.holonet.net!news.cerf.net!usc!howland.reston.ans.net!spool.mu.edu!olivea!gossip.pyramid.com!pyramid!infmx!news
References: <727745474snz@panache.demon.co.uk>

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Path: arc1-ca.pugleaf.net!sparky!uunet!tcsi.com!iat.holonet.net!news.cerf.net!usc!howland.reston.ans.net!spool.mu.edu!olivea!gossip.pyramid.com!pyramid!infmx!news
From: robertw@informix.com (Robert Weinberg)
Newsgroups: rec.puzzles
Subject: Re: "Cut & Choose" for several players
Message-ID: <1993Jan26.202608.25363@informix.com>
Date: 26 Jan 93 20:26:08 GMT
References: <727745474snz@panache.demon.co.uk>
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Organization: Informix Software, Inc.
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