[BLML] Cheshire cat [SEC=UNOFFICIAL]

Nigel Guthrie nigelguthrie at yahoo.co.uk
Thu Sep 9 21:17:53 CEST 2010

[Thomas Dehn]
Consider objects that have three different scores assigned
to them. 
Object A has scores:  green 10, blue 20, red 30
Object B has scores:  green 20, blue 30, red 10
Object C has scores:  green 30, blue 10, red 20.
An object is "better" than another object if it beats
that object in two out of three categories. Doesn't that look
like a reasonable definition of "better"?
B is "better" than A because it wins in the green and blue categories.
C is "better" than B because it wins in the green and red categories.
A is "better" than C because it wins in the blue and red categories.

[Jean-Pierre Rocafort]
A team is constituted of 3 players. in a match between 2 teams, each 

player in a team meets the 3 players of the opposite team.
suppose there is a reliable ranking of 9 players (a player always wins 
against a lower-ranking opponent).
team A consists of players 1, 5 and 9
team B: 2,6,7
team C: 3,4,8

A is better than B (it beats it 5-4)
B is better than C
C is better than A

We have the same phenomenon in bridge with suit combinations as Jeroen 
Warmerdam showed: for instance with A1098 R432, there are 4 lines of 
play A,B,C,D such as A is better than B (at BAM scoring), B than C, C 
than D and D than A.

Please give a reference to the last example. Thomas Dehn's and Jean-Pierre's 
examples are more interesting than "rock-paper-scissors".

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