Billy had a PhD and Sarah was a teacher. They were getting married, but had a problem with their entrée.
Billy and his friends wanted
Filet Mignon.
Sarah and her friends insisted on
Chicken Marsala.
Since Billy and Sarah were political junkies, they decided to let their guests choose. They added a ballot
to the RSVP in the invitations.
To make things interesting, they added
Calamari
(squid) which they thought few guests would pick. And burger
and fries as a joke.
Sarah’s Ballot
Billy’s Ballot
When they counted the votes they found, to their horror, burger and fries had won!
First-Past-the-Post results
| Entrée |
Votes |
| Calamari |
8 |
| Filet Mignon |
28 |
| Chicken Marsala |
31 |
| Burger and Fries |
33 |
| Total |
100 |
Although the vast majority of guests likely wanted a fitting wedding feast, the
vote was split
allowing the absurd choice to win.
Since Sarah and Billy didn’t want to get stuck with a choice that would ruin their wedding, they decided
to resend the ballots asking guests to
rank their choices this time.
This would allow them to have a say if their first choice wasn’t in the running.
(Their vote wouldn’t be
wasted.)
Sarah’s Ballot
Billy’s Ballot
Sarah and Billy got the ballots back and counted them. On the first round, they got the same
results as before. But instant runoff rounds eliminated last-place choices
and transferred
alternative votes:
Preferential Voting: 1st round
| Entrée |
Votes |
| Calamari |
8 |
| Filet Mignon |
28 |
| Chicken Marsala |
31 |
| Burger and Fries |
33 |
| Total |
100 |
PV: 2nd instant runoff round
| Entrée |
Votes |
Alt Votes |
| Filet Mignon |
31 |
+3 |
| Chicken Marsala |
36 |
+5 |
| Burger and Fries |
33 |
|
| Total |
100 |
|
PV: 3rd instant runoff round
| Entrée |
Votes |
Alt Votes |
| Chicken Marsala |
67 |
+31 |
| Burger and Fries |
33 |
|
| Total |
100 |
|
When guests’ alternative choices were factored in, they overwhelmingly
preferred a proper wedding entrée.
The simple ballot system —
First-Past-the-Post — produces distorted results that can saddle people with
the opposite of what they want.
Preferential Voting ensures the real
will of the people is carried out.