Arrow/IA/IIAC

[DEMOREP1 at aol.com]

I shall apply the Adding Choices (6 Mar 2000) and clone info to the 40-25-35 
example below.
----
What is an Irrelevant Alternative? [from Arrow/IA/IIAC]


According to Arrow, an irrelevant alternative is any that does not 

win. For example, in the following example, 

40 A B C 

25 B C A 

35 C B A
--
40 AB
60 BA

The 60 majority is split when C is added.
--
65 BC
35 CB

The 65 majority is split when A is added.
--
40 AC
60 CA

The 60 majority is split when B is added.
--

Which is the highest head to head majority (and thus the most likely correct) 
? 65 BC (with C being the most likely clone)    Duh ?

I suggest that the only irrelevant alternatives are those that are beat head 
to head by each other choice (aka Condorcet loser(s)).

The above applies with 4 or more choices in a circular tie.

The current Saari/Borda flap is a total distraction.