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Article #2469

Re: "Cut & Choose" for several players

#2469
From: Robert Weinberg
Date: Fri, 22 Jan 1993 20:57
30 lines
1910 bytes
In article <43725@sdcc12.ucsd.edu> cs161fir@sdcc10.ucsd.edu (Anthony Minkoff)  
writes:
> 
> Now I want a method for distributing the pile among n players, so
> that no player feels that any other player received a better
> portion.
> 
I'm following up to rec.puzzles, rather than sci.math, because my solution is not  
mathematical.

In a real social situation, I suppose you could do this:

Player 1 of n (decided perhaps by lot) must divide up the entire lot into n  
bundles. Every player, including player 1, agrees to take any one of these bundles  
unless he wishes to challenge the division, in which case he must re-divide the  
entire lot himself. The kinds of division resulting from each challenge might be  
radically different, reflecting the different values of the players.

Any number of challengers may redivide the lot until no further challenges are  
offered - after which each must take any one of the bundles (chosen randomly or in  
some ordered fashion). The person making the final challenge does not suffer the  
penalty of taking the last remaining bundle, since any other player could have  
redivided the lot.

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Message-ID: <1993Jan22.205706.27776@informix.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!gossip.pyramid.com!pyramid!infmx!news
References: <43725@sdcc12.ucsd.edu>

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Path: arc1-ca.pugleaf.net!sparky!uunet!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: <1993Jan22.205706.27776@informix.com>
Date: 22 Jan 93 20:57:06 GMT
References: <43725@sdcc12.ucsd.edu>
Sender: news@informix.com (Usenet News)
Organization: Informix Software, Inc.
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