River is a cloneproof monotonic Condorcet ambiguity resolution method with similarities to both Ranked Pairs and Schulze, but when cycles exist, can in rare cases find a different winner than either of the other two methods.
Quick summary of method, which is identical to Ranked Pairs except where emphasized:
- Rank defeats in descending order of winning vote strength.
- Starting with the strongest defeat, affirm defeats unless a cycle is created or a candidate is defeated twice.
The result is that only sufficient defeat information to determine the winner is included.
Because not all defeats are processed, the social ordering is not linear -- in general it is a tree (or river) diagram, with the victor at the base of the river.
- First proposal
- slight refinement
- More concise definition. In this last version, River is defined very similarly to ranked pairs.
- Example using 2004 baseball scores. This shows how a 14-candidate election winner can be determined much more quickly using River than with RP or Schulze.
- Early criticism of the River method. This shows that the River method violates mono-add-top and mono-remove-bottom