What do you consider the positives and negatives of different Diplomacy scoring systems?

A few examples to chew on:

- Draw-Size Scoring (DSS)
- This is what PlayDiplomacy uses (prior to any Elo adjustments).
- The two players in a 2-way receive 1/2 the points.
- The three players in a 2-way receive 1/3 the points.
- The four players in a 4-way receive 1/4 of the points.
- et cetera
- A solo is winner-take-all (plus a bonus on PlayDip, though that's not always standard for DSS).
- When used in tournaments, center count is sometimes used to calculate a tiebreaker (as with the PDET).

- Center Count-Based Scoring (Example: Sum of Squares)
- In Sum-of-Squares, a solo is winner-take-all.
- In a draw, players receive a portion of points equal to the square of their own SC count (n) divided by the sum of all players' squared SC counts
- i.e. (n^2) / (F^2 + R^2 + I^2 + G^2 + A^2 + T^2 + E^2)

- Rank-Based Scoring (Example: Carnage)
- Carnage has become popular in North American face-to-face tournaments.
- There are 28034 points at stake.
- A solo is winner-take-all (28034 for the winner, 0 for everyone else).
- If a game ends in a draw, players are ranked according to SC count and year-of-elimination.
- Scores:
- 1st rank: 7000
- 2nd rank: 6000
- 3rd rank: 5000
- 4th rank: 4000
- 5th rank: 3000
- 6th rank: 2000
- 7th rank: 1000

- Ties for the same rank split all applicable values (e.g. two players tied for 1st would get 6500 each).
- Each player also gets 1 points per SC held (effectively a tiebreaker value)

- Hybrid Scoring Systems