[EM] Borda Done Right
fsimmons at pcc.edu
Wed Dec 2 16:04:42 PST 2020
It is a very small step from Copeland done right to Borda done right
because in a certain sense Borda can be thought of as Copeland applied to
each ballot separately and then summed over ballots.
Let's start with Copeland and change it into Borda.
Copeland: The score of alternative X is the total probability of the
alternatives beaten pairwise by X minus the total probability of the
alternatives that beat X pairwise.
Borda: The contribution of ballot B to the Border score by alternative X is
the total probability of the alternatives ranked below X on B minus the
total probability of the alternatives ranked above X on ballot B.
What do you think?
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