Understanding Voting Systems
Learn how different voting methods work and why they matter for making better decisions.
Why voting systems matter
Different voting systems can produce completely different results from the same votes. Better systems allow true preference voting, ensure majority support, reduce negative campaigning, and represent diverse viewpoints.
Voting systems compared
First Past The Post
The most common system - voters pick one candidate, and whoever gets the most votes wins.
How it works:
- 1Each voter selects exactly one candidate
- 2Votes are tallied for each candidate
- 3The candidate with the most votes wins
Instant Runoff (IRV)
Voters rank candidates in order of preference. If no candidate has a majority, the lowest-ranked candidate is eliminated.
How it works:
- 1Voters rank candidates in order of preference
- 2First-choice votes are counted
- 3If no candidate has majority, eliminate last place
- 4Redistribute those votes to voters' next choices
- 5Repeat until someone has a majority
Kemeny-Young
A sophisticated voting system that finds the ranking that minimizes the total disagreement (measured as bubble sort distance) with voter preferences. It's considered one of the most mathematically sound voting methods.
How it works:
- 1Voters rank candidates in order of preference
- 2For each possible ranking of candidates, calculate the sum of bubble sort distance between the ranking and each voter's ballot
- 3The ranking with the lowest sum of bubble sort distance wins
Schulze
Finds strongest paths between candidates in a network of pairwise preferences
Ranked Pairs
Considers pairwise victories in order of strength to build a complete ranking
Copeland
Counts wins and losses in pairwise comparisons between all candidates
Minimax
Minimizes the worst pairwise defeat to find the most acceptable candidate
RankPoll also supports Baldwin, Nanson, Coombs, Bottom Two Runoff, Smith, and more.
Video resources
Why Democracy Is Mathematically Impossible
Democracy might be mathematically impossible – here’s why.
The flaw in every voting system
A story about the fundamental flaw in every voting system — strategic voting.
Technical references
Deep dive into the mathematics and theory
Arrow's Impossibility Theorem
Why no perfect voting system can exist
Condorcet Paradox
When preferences form a cycle
Condorcet Winner
A candidate beating all others in pairwise comparisons
Gibbard's Theorem
Why every voting system is susceptible to strategic voting
Smith Set
The smallest set of candidates who beat all others outside the set
Voting Systems Comparison Table
A table comparing various properties of ranked voting systems