# 2. An option A defeats the default option D by a majority ratio N,
- # if V(A,D) is strictly greater than N * V(D,A).
+ # if V(A,D) is greater or equal to N * V(D,A) and V(A,D) is strictly
+ # greater than V(D,A).
# 3. If a supermajority of S:1 is required for A, its majority ratio
# is S; otherwise, its majority ratio is 1.
# Any (non-default) option which does not defeat the default option
my $ratio = 1.0 * $Beat_Matrix[$i][$max_choices - 1] /
$Beat_Matrix[$max_choices - 1][$i];
$Ratio{$i} = sprintf("%.2f", $ratio);
- if ($ratio < $order_to_options{$i + 1}{majority}) {
+ if ($ratio < $order_to_options{$i + 1}{majority} and $Beat_Matrix[$i][$max_choices - 1] or $ratio <= 1) {
# If the next line is commented out, we get a more verbose set of results
$Drop{$i}++;
print {$RESULTS} "Dropping Option ", $order_to_options{$i + 1}{key},
" because of Majority. ($ratio)";
- printf {$RESULTS} " %6.3f (%d/%d) < %d\n",
+ my $comparison_sign = $order_to_options{$i + 1}{majority} == 1 ? '<' : '<=';
+ printf {$RESULTS} " %6.3f (%d/%d) $comparison_sign %d\n",
$ratio, $Beat_Matrix[$i][$max_choices - 1],
$Beat_Matrix[$max_choices - 1][$i],
$order_to_options{$i + 1}{majority};