Ranked Pairs - An Example - The Situation

The Situation

Imagine that Tennessee is having an election on the location of its capital. The population of Tennessee is concentrated around its four major cities, which are spread throughout the state. For this example, suppose that the entire electorate lives in these four cities and that everyone wants to live as near to the capital as possible.

The candidates for the capital are:

  • Memphis, the state's largest city, with 42% of the voters, but located far from the other cities
  • Nashville, with 26% of the voters, near the center of the state
  • Knoxville, with 17% of the voters
  • Chattanooga, with 15% of the voters

The preferences of the voters would be divided like this:

42% of voters
26% of voters
15% of voters
17% of voters
  1. Memphis
  2. Nashville
  3. Chattanooga
  4. Knoxville
  1. Nashville
  2. Chattanooga
  3. Knoxville
  4. Memphis
  1. Chattanooga
  2. Knoxville
  3. Nashville
  4. Memphis
  1. Knoxville
  2. Chattanooga
  3. Nashville
  4. Memphis

The results would be tabulated as follows:

Pairwise election results
A
Memphis Nashville Chattanooga Knoxville
B Memphis 58%
42%
58%
42%
58%
42%
Nashville 42%
58%
32%
68%
32%
68%
Chattanooga 42%
58%
68%
32%
17%
83%
Knoxville 42%
58%
68%
32%
83%
17%
Pairwise election results (won-lost-tied): 0-3-0 3-0-0 2-1-0 1-2-0
Votes against in worst pairwise defeat: 58% N/A 68% 83%
  • indicates voters who preferred the candidate listed in the column caption to the candidate listed in the row caption
  • indicates voters who preferred the candidate listed in the row caption to the candidate listed in the column caption

Read more about this topic:  Ranked Pairs, An Example

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