2018 TTT: Scoring

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2018 TTT: Scoring

Postby NoPunIn10Did » 18 Aug 2017, 22:26

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Scoring

Each Dynasty will receive a numeric score for each of the four games that it participates in. Each variant has a slightly different scoring calculation to account for differences in the number of players, size of map, and victory conditions. The Dynasty with the highest total score across all variants at the end of the Tournament will be declared the overall Tournament Winner.

Rank
Whether a game ends in a Solo, Double Win (1812 Overture Only), or a Draw, each Dynasty will be given a Rank (for that variant) at the end of the game according to the following priority rules:
  1. The Winner of a Solo will always place 1st, higher than all other competing Dynasties.
  2. The Winners of a Double Win will always tie for 1st place, regardless of SC count, and higher than all other competing Dynasties.
  3. All other surviving Dynasties will be ranked by SC/VP count.
  4. Eliminated Dynasties will be ranked by the game-year in which they were eliminated (the later the better).
  5. Special Case for Dissolution only: if the game terminates in a draw, and 1-2 powers have 0 VP due to the US Navy blocking their only Supply Centers, those powers will be treated as surviving Dynasties even though their VP count is zero. They will rank as last among other surviving Dynasties but higher than eliminated Dynasties.
  6. Dynasties (outside of those in a Solo or Double Win) with equal SC/VP counts or elimination years will share all applicable ranks. e.g. if three players tie for second place, they effectively share Ranks 2-4, and the next-highest Dynasty will have Rank 5.

Solo & Rank Values
  1. Each Rank has a point value associated with it. This Rank Value varies by variant, though the highest and lowest Rank Values per map have been calibrated to be equal.
  2. If the game ends in a Draw, each surviving Dynasty will score the entire Rank Value.
  3. Dynasties that tie for the same rank evenly split the Rank Values for the applicable ranks.
    e.g. In Ambition & Empire, if three powers tie for 1st place in a Draw, they split the Rank Value awarded to 1st, 2nd, and 3rd place.
    (1110 + 990 + 870) / 3 = 990 Rank Value per player
  4. If the game ends in a Solo, the winning Dynasty does not receive their Rank Value. Instead, they receive a much higher Solo Value. Likewise for Dynasties who achieve a Double Win: they will receive the Double Win Value, which is half the Solo Value (and still higher than the Rank Values).
  5. All Eliminated Dynasties, as well as any surviving Dynasties that have lost to a Solo/Double Win, will receive a fraction of their Rank Value, the amount of which varies by variant.
  6. Any calculation of Rank Value points that yields a value other than a whole number will be rounded down. This should be a rare occurrence.

Points for SC / VP Count
  1. In addition to Rank Value, each surviving Dynasty will be awarded points according to their SC or VP counts and the end of the game.
  2. Winners of a Solo or Double Win will receive a higher amount of points per SC/VP than other Dynasties (that either lose or survive in a Draw).
  3. These values are different per variant and are calibrated based on victory conditions, map size, and player count.
Last edited by NoPunIn10Did on 14 Feb 2018, 17:13, edited 9 times in total.
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Re: 2018 TTT: Scoring

Postby NoPunIn10Did » 18 Aug 2017, 22:26

Scoring Formula by Variant

Ambition & Empire
  • 10 players/Dynasties
  • 15 SC's to win
  • 44 SC's on the map
If you Solo:
Score = 3600 pts + (60 pts * SC count)

If you survive in a Draw:
Score = Rank Value + (51 pts * SC count)

If you are Eliminated OR
If you lose to a Solo

Score = (Rank Value / 1.5) + (51 pts * SC count)

Code: Select all
Rank    Value   Value/1.5

   1     1110         
   2      990         660
   3      870         580
   4      750         500
   5      630         420
   6      510         340
   7      390         260
   8      270         180
   9      150         100
  10       30          20


1812 Overture
  • 6 players/Dynasties
  • 18 SC's to win (with 12 SC's on the same continent)
  • 45 SC's on the map
If you Solo:
Score = 2600 pts + (50 pts * SC count)

If you are part of a Double Win:
Score = 1300 pts + (50 pts * SC count)

If you survive in a Draw:
Score = Rank Value + (34 pts * SC count)

If you are Eliminated OR
If you lose to a Solo or Double Win

Score = (Rank Value / 3) + (34 pts * SC count)

Code: Select all
Rank    Value   Value / 3

   1     1110         
   2      894         298
   3      678         226
   4      462         154
   5      246          82
   6       30          10


1900
  • 7 players/Dynasties
  • 18 SC's to win
  • 39 SC's on the map
If you Solo:
Score = 2600 pts + (50 pts * SC count)

If you survive in a Draw:
Score = Rank Value + (46 pts * SC count)

If you are Eliminated OR
If you lose to a Solo

Score = (Rank Value / 2) + (46 pts * SC count)

Code: Select all
Rank    Value   Value / 2

   1     1110         
   2      930         465
   3      750         375
   4      570         285
   5      390         195
   6      210         105
   7       30          15


1936
  • 7 players/Dynasties
  • 18 SC's to win
  • ~50 SC's on the map
If you Solo:
Score = 2600 pts + (50 pts * SC count)

If you survive in a Draw:
Score = Rank Value + (36 pts * SC count)

If you are Eliminated OR
If you lose to a Solo

Score = (Rank Value / 2) + (36 pts * SC count)

Code: Select all
Rank    Value   Value / 2

   1     1110         
   2      930         465
   3      750         375
   4      570         285
   5      390         195
   6      210         105
   7       30          15


Dissolution
  • 10 players/Dynasties
  • 25 VP's to win
  • ~75 VP's on the map
If you Solo:
Score = 3600 pts + (36 pts * VP count)

If you survive in a Draw:
Score = Rank Value + (30 pts * VP count)

If you are Eliminated OR
If you lose to a Solo

Score = (Rank Value / 1.5) + (30 pts * VP count)

Code: Select all
Rank    Value   Value/1.5

   1     1110         
   2      990         660
   3      870         580
   4      750         500
   5      630         420
   6      510         340
   7      390         260
   8      270         180
   9      150         100
  10       30          20
Last edited by NoPunIn10Did on 21 Aug 2017, 22:43, edited 1 time in total.
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Re: 2018 TTT: Scoring

Postby NoPunIn10Did » 21 Aug 2017, 15:50

Scoring Calculation Discussion

This section is not part of the rules, but it might be helpful if you start scratching your head as to why the point values seem confusingly different from game to game.

These are the goals I had in mind as I developed this system:
  • The top and bottom base Rank Values should be the same across the board.
  • Average points-per-player and total points awarded in a Solo should be nearly equal across the two 10-player bookend games, and they should be reasonably close across the three middle games.
  • Getting a Solo in the two bookend games should award more than a Solo in the three middle games (to reflect the defeat of a greater number of opponents), but the three middle games should award the same Solo points (even though one has one less player).
  • An eliminated player/Dynasty should know exactly how many points they will receive at the time they exit the game.

Because this isn't a true zero-sum system, there are variations in the total (and therefore average) points awarded given different endgame scenarios. My calibrations were made using estimated point totals from the following scenarios:
  1. One player gets a Solo win with exactly the number of SC's/VP's required for victory.
  2. A draw occurs with all original players surviving (unlikely, but it represents the maximum points possible in a draw).
  3. A draw occurs with the minimum number of players under normal circumstances.
    • That is, all neutral SC's are controlled by end-of-game, and no player has the number of SC's/VP's needed for a Solo.
    • This turns out to be a 4-player draw in the 10-player variants and a 3-player draw in the middle games.

Average Points per Player (APP)

For those of you looking to try and make a strategic decision about which middle games to try for (since each Dynasty will only play two of the three), here are some numbers to consider. The two 10-player bookend games have been provided as well for comparison.

Code: Select all
Average Points per Player (APP) by Variant & Scenario

Variant             A&E  1812OV    1900    1936  Распад
Players              10       6       7       7      10
----------------------------------------------------------------
APP in a Solo       904     865     844     870     906
APP Draw (max)      794     825     826     827     795
APP for 4p Draw     728                             729
APP for 3p Draw             743     741     741



In my opinion, if you have a choice, your Dynasty should probably pick the middle variants that you will most enjoy to play rather than trying to minmax your point earnings.
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