Weighted Voting - Weighted positional aggregation of multiple rankings

Overview

Weighted Voting - Weighted positional aggregation of multiple rankings

Output

rank position, higher is better

Data

Crisp, complete rank

Size

2+ alternatives, 3-12 criteria works best

Used for

Rank aggregation, social choice, preference fusion

How it works

1. 1

   Validate inputs for weighted-voting.

   $$S_i=\sum _j{w}_j\cdot {\text{score}}_j(A_i);\text{rank descending by }{S}_i$$

   Arrow 1951, (pending PDF page verification)

Look elsewhere when

Assumptions to verify

• Input is a rank matrix (1=best, m=worst per voter)
• Each voter ranks all alternatives

Edge cases and pitfalls

• Applying WEIGHTED-VOTING without verifying this assumption.

  Requirement: Input is a rank matrix (1=best, m=worst per voter)

• Applying WEIGHTED-VOTING without verifying this assumption.

  Requirement: Each voter ranks all alternatives

• Using WEIGHTED-VOTING when: Cardinal preferences important → use a MAUT method.

  An alternative method is recommended in this situation.

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