[EM] Borda- Young example

[DEMOREP1 at aol.com]

"Condorcet's Theory of Voting" by H.P. Young (82 American Political Science 
Review 1231 (1988) has the following Borda example by Prof. Young--

Table 5  A Voting Matrix of Six Alternatives and 100 Voters
        a      b       c       d       e       f     Borda Scores
a     --     51     54     58     60    62     285
b     49     --    68     56     51    58      283
c     46     32    --     70     66     75     289

d      42     44    30    --   41      64     221
e     40      48    34    59    --    34      215
f      38      42    25   36     66    --      207

a, b and c each beat d, e and f

Borda produces cabdef.

If only a,b,c were the choices (the upper left part of the matrix) then the 
Borda result would be b 117, a 105, c 78 or bac (the opposite of the first 
Borda count).

Prof. Young says in effect that introducing inferior alternatives may/can 
manipulate the Borda choices among the superior alternatives.

Choice a is the Condorcet winner (beats each alternative head to head).