National Show Results, revised Down with ties.

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A partial solution is a ribbon for the second most blue ribbon.  The American Iris Society has a silver medal for most blue ribbons and a bronze medal for second most blue ribbons.  Of course that will not take care of a 3 way tie.
I do not see any dilution.  In a daffodil show not counting the reds may actually dilute.  In the daffodil show there is only one blue ribbon per.  There may be several blue ribbon flowers in a section.  They all cannot get a blue ribbon.
Actually if you gave two ribbons for most blue ribbons, in an extra person would actually get the credit in the show results.