The Plurality-with-Elimination Method
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1 The Plurality-with-Elimination Method Lecture 3 Section 1.4 Robb T. Koether Hampden-Sydney College Mon, Aug 31, 2015 Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
2 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
3 Outline 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
4 The Plurality-with-Elimination Method Definition (The Plurality-with-Elimination Method) By the plurality-with-elimination method (also called instant-runoff voting, or IRV), the voters cast their votes for their first-place choice. If one candidate has a majority of votes, he wins. Otherwise, the candidate with the fewest first-place votes is eliminated and the process repeats with the remaining candidates until there is a winner. Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
5 The Political Science Club Election Example (The Political Science Club Election) st A B C C 2nd D A D B 3rd C D B A 4th B C A D Who is the winner? Give the complete ranking. Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
6 The Political Science Club Election Example (The Political Science Club Election) st A B B A 2nd D A D B 3rd C D C C 4th B C A D What if two candidates fail to get any first-place votes? Which one do we eliminate? Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
7 Outline 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
8 Faster Elimination Rather than eliminate the candidates one per round, we could eliminate Two per round (or three, or four, etc.) All but two in the first round. Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
9 Outline 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
10 A Defect st A B C A 2nd B C A C 3rd C A B B What could possibly go wrong with this method? Who is the winner? Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
11 A Defect st A B C A 2nd B C A C 3rd C A B B What could possibly go wrong with this method? Who is the winner? What if the 4 voters who preferred A over C (in the last column) changed their minds and preferred C over A. Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
12 A Defect st A B C A 2nd B C A C 3rd C A B B What could possibly go wrong with this method? Who is the winner? What if the 4 voters who preferred A over C (in the last column) changed their minds and preferred C over A. That could only help C, right? Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
13 Outline 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
14 Coombs Method Definition (Coombs Method) Coombs method is a variation of the plurality-with-elimination method. The voters cast their votes for their last-place choice. The candidate with the most last-place votes is eliminated and the process repeats with the remaining candidates until there is a winner. Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
15 The Political Science Club Election Example (The Political Science Club Election) st A B C C 2nd D A D B 3rd C D B A 4th B C A D Who is the winner? Give the complete ranking. How do the results compare to the plurality-with-elimination method? Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
16 Outline 1 The Plurality-with-Elimination Method 2 Variations 3 A Defect in the Method 4 Coombs Method 5 Assignment Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
17 Assignment Assignment Ch. 1: Exercises 31, 35, 37, 38, 40. Rework 31 and 35 using Coombs Method. Were the results the same as with the Plurality-with-Elimination Method? Robb T. Koether (Hampden-Sydney College) The Plurality-with-Elimination Method Mon, Aug 31, / 15
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FOR IMMEDIATE RELEASE November 16, 2011 INTERVIEWS: Tom Jensen 919-744-6312 IF YOU HAVE BASIC METHODOLOGICAL QUESTIONS, PLEASE E-MAIL information@publicpolicypolling.com, OR CONSULT THE FINAL PARAGRAPH