Sunday, November 24, 2013

MVP of ECON 333?

I don't know how many of you keep up with Major League Baseball, but Andrew McCutchen of the Pittsburgh Pirates was just elected National League MVP. Miguel Cabrera was elected American League MVP, but that is not important. What is important is how these men earned the MVP title.

Many moons ago, we discussed Mueller’s alternatives to majority rule. One of these alternatives was the Borda count in which the candidates are ranked in a voter’s preference ordering. The candidate with the highest number of points is deemed the winner. Since there are many candidates/players for the MVP award (over 10), Mueller would agree that the Borda count (or Hare/Coombs systems) is the most Condorcet efficient voting system. The Borda count is efficient because it satisfies neutrality, cancellation, faithfulness, and consistency in choosing the Condorcet winner.


Here is the voting breakdown of the NL MVP candidates. Andrew McCutchen is the clear winner with 409 points, followed by Goldschmidt (242 points), then Molina* (219 points). First place votes earn 14 points (4 point bonus from the traditional Borda Count), second place votes earn 9 points, and it declines one point from there. According to the breakdown, McCutchen would have still won in majority rule (28 first place votes out of 30), plurality rule, Condorcet criterion (behind Molina twice and Carpenter once), Hare system, and Coombs system; however, some years the majority rule winner isn't necessarily the Borda count winner (See: 2011 AL MVP voting). 

*Side note: in a Hare system, Molina would’ve gotten second place since he had two more 1st place votes than Goldschmidt.

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