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BB2016 Position Cost Formula
Introduction
The following tables provide an easy way for BB2016 house rule roster designers to determine and verify the costs of the positions.
This is not more than a tool. As a roster designer, always use your own judgement!
Usage
The usage is pretty straightforward. You start with a base cost, then add the costs of the stat values and skills to it. Finally, you round the result to 10000.
Please note that some of the values are shown with italic typeface. It indicates that the value was determined based on a small sample.
Always start with the following cost:
BASE COST = 52000
For example, you've designed a Werewolf as 8338, Claw, Frenzy, Regeneration GA/SP. Its current cost is 52000 gold pieces.
Now you add the prices of the stats based on the table below:
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
|---|---|---|---|---|---|---|---|---|---|---|
| MA | -55000 | -50000 | -28000 | -22000 | -9000 | 0 | 11000 | 22000 | 27000 | |
| ST | -56000 | -29000 | 0 | 45000 | 75000 | 99000 | 135000 | |||
| AG | -22000 | -8000 | 0 | 19000 | 39000 | |||||
| AV | -22000 | -20000 | -12000 | 0 | 8000 | 19000 | ||||
The cost of the Werewolf increases by 22000 because of the MA8. Its current value is 74000 gold pieces.
Next we add the costs of the skills based on the access to the skill:
Normal Access | Double Access | No Access | |
|---|---|---|---|
| Always Hungry | 0 | ||
| Animosity | 0 | ||
| Ball & Chain | -28000 | ||
| Big Hand | 6000 | 10000 | |
| Block | 22000 | ||
| Blood Lust | -36000 | ||
| Bombardier | 30000 | ||
| Bone-head | -18000 | ||
| Break Tackle | 10000 | ||
| Catch | 11000 | 12000 | |
| Chainsaw | 31000 | ||
| Claw | 15000 | 19000 | |
| Dauntless | 12000 | 12000 | |
| Decay | -3000 | ||
| Dirty Player | 7000 | 7000 | |
| Disposable | 4000 | ||
| Disturbing Presence | 10000 | 10000 | 16000 |
| Diving Catch | 19000 | ||
| Diving Tackle | 15000 | 15000 | |
| Dodge | 18000 | 23000 | |
| Dump-Off | 5000 | 5000 | |
| Extra Arms | 7000 | 10000 | |
| Fan Favourite | 10000 | ||
| Fend | 12000 | 12000 | |
| Foul Appearance | 10000 | 10000 | 10000 |
| Frenzy | 9000 | 17000 | |
| Grab | 18000 | 18000 | |
| Guard | 15000 | ||
| Hail Mary Pass | 5000 | 12000 | |
| Horns | 10000 | 10000 | 10000 |
| Hypnotic Gaze | 18000 | ||
| Juggernaut | 15000 | 15000 | |
| Jump Up | 13000 | 16000 | |
| Kick | 15000 | ||
| Kick Team-Mate | 20000 | ||
| Kick-Off Return | 5000 | ||
| Leader | 25000 | ||
| Leap | 5000 | 6000 | |
| Loner | 0 | ||
| Mighty Blow | 23000 | ||
| Monstrous Mouth | 5000 | ||
| Multiple Block | 15000 | ||
| Nerves Of Steel | 5000 | 5000 | |
| No Hands | -4000 | ||
| Nurgle's Rot | 0 | ||
| Pass | 6000 | 6000 | |
| Pass Block | 7000 | 11000 | |
| Prehensile Tail | 5000 | 5000 | 12000 |
| Pro | 13000 | 16000 | |
| Really Stupid | -20000 | ||
| Regeneration | 13000 | ||
| Right Stuff | 0 | ||
| Safe Throw | 10000 | ||
| Secret Weapon | -28000 | ||
| Shadowing | 6000 | 6000 | |
| Side Step | 10000 | 24000 | |
| Sneaky Git | 5000 | ||
| Sprint | 9000 | 9000 | |
| Stab | 18000 | ||
| Stakes | 3000 | ||
| Stand Firm | 17000 | 17000 | |
| Strip Ball | 15000 | ||
| Strong Arm | 5000 | 12000 | |
| Stunty | 13000 | ||
| Sure Feet | 15000 | ||
| Sure Hands | 16000 | 16000 | |
| Swarming | 0 | ||
| Swoop | 38000 | ||
| Tackle | 12000 | 13000 | |
| Take Root | -33000 | ||
| Tentacles | 13000 | 15000 | |
| Thick Skull | 7000 | 7000 | |
| Throw Team-Mate | 7000 | ||
| Timmm-ber! | 0 | ||
| Titchy | 9000 | ||
| Two Heads | 10000 | ||
| Very Long Legs | 10000 | 10000 | |
| Weeping Dagger | 0 | ||
| Wild Animal | -13000 | ||
| Wrestle | 20000 |
The Werewolf have normal access to Frenzy so we take the price from the first column. However, the Werewolf have no access to Claw and Regeneration, so we take those values from the third column. Thus, the price increases by 9000+19000+13000. The current cost of the Werewolf is 115000.
ROUND TO CLOSEST 10000
Finally we round the price to the closest 10000. For our Werewolf that results the final cost of 120000 gold pieces as 5000 should be rounded upward.
Appendix A: Method
The tables were generated by a lazy solver I made to derive cost components of a normal roster position. The data were all the positions of the official (Competitive) and Secret League positions as of 2020-08-30, the former ones had weights of 5.
The primary cost value was the number of positions whose price the system calculated inaccurately. The secondary cost value was the sum of squares of the price differences weighted by the quantities (16 for most linemen, etc.) * (5 if official 1 if SL). The secondary differences are considered zeros when the rounded calculated value resulted the expected value. The third cost was the same as the second without this rounding step. Thus, the secondary and tertiary cost vales are used to finetune the results. I made many passes, each one of them with hundreds of thousands of random adjustments, keeping the lowest cost scenario but letting the system to get out from the local optimum it might found. In multiple steps, hundreds of millions of iterations were done, randoms and bruteforced ones. The base of the next step was the best score price table. My first steps were far from well made yet they produced a decent base price table, the origin of the table is a little obscure. As the model is a 146 dimensional problem, I can not even say I found a local optimum.
The reason for the many steps I made was partly because I had to enforce common sense values by creating bounds. In the same time, I had to let the system to be able to walk and seek for the optimum. I could make a formula which would be more accurate for the existing positions yet it would contain weird values, like negative prices for certain useful skills.
The following prices met their lower bounds: MA2, AG5, Big Hand (X), Break Tackle (N), Claw (N), Disturbing Presence (D), Dump-Off (ND), Extra Arms (X), Foul Appearance (NDX), Guard (D), Hail Mary Pass (N), Horns (DX), Kick-Off Return (N), Leap (N), Monstrous Mouth (X), Nerves Of Steel (ND), Prehensile Tail (ND), Side Step (N), Sneaky Git (N), Strong Arm (N), Two Heads (X), Very Long Legs (X)
The following prices met their upper bounds: MA1, Animosity (X), Disturbing Presence (N), Fan Favourite (X), Kick (N), Leader (D), Loner (X), Multiple Block (N), Safe Throw (N), Strip Ball (N), Wrestle (N)
In addition, a normal access price was enforced to be less than or equal to the double access price. Same with double access and no access/extraordinary.
I am sure that superior models exist. Until that is published by someone somewhere though, I suggest using this one for BB2016 positions. That era is getting closer to its end anyway.
Appendix B: Accuracy
This formula accurately calculates all but 13 positions of the official rosters (out of 129 which is 89.9% accuracy), including the BB2016 Snotling team. The 13 positions whose calculated price is different than their cost are in the following table. Calculated prices are shown before the last rounding step.
Official Cost | Calculated Price | Difference | |
|---|---|---|---|
| Snotling Fungus Flinga | 30000 | 8000 | -22000 |
| Wood Elf Thrower | 90000 | 76000 | -14000 |
| Goblin Looney | 40000 | 27000 | -13000 |
| Norse Ulfwerenar | 110000 | 98000 | -12000 |
| Tomb Kings Anointed Blitzer | 90000 | 79000 | -11000 |
| Dark Elf Assassin | 90000 | 83000 | -7000 |
| Wood Elf Wardancer | 120000 | 126000 | 6000 |
| Slann Lineman | 60000 | 68000 | 8000 |
| Snotling Fun-hoppa | 20000 | 30000 | 10000 |
| Norse Lineman | 50000 | 62000 | 12000 |
| Amazon Tribal Linewoman | 50000 | 63000 | 13000 |
| Goblin Fanatic | 70000 | 100000 | 30000 |
| Dwarf Deathroller | 160000 | 202000 | 42000 |
For completeness, the formula determines all but the following 102 Secret League positions accurately (out of 400 which is 74.5% accuracy). Please note that fitting the model to Secret League was only a secondary objective.
Official Cost | Calculated Price | Difference | |
|---|---|---|---|
| Elemental - Earth Incarnate Elemental of Earth | 150000 | 120000 | -30000 |
| Estalia Receptor | 80000 | 52000 | -28000 |
| Engineers Master Engineer | 80000 | 53000 | -27000 |
| Engineers Bombardier | 60000 | 39000 | -21000 |
| Zandri Catch-Ra | 90000 | 69000 | -21000 |
| Nippon Warrior Monk | 90000 | 70000 | -20000 |
| Clan Pestilens Plague Censer Bearer | 120000 | 103000 | -17000 |
| Isha Naiad | 110000 | 93000 | -17000 |
| Nautican Giant Crab | 140000 | 123000 | -17000 |
| Squig Giant Cave Squig | 110000 | 93000 | -17000 |
| Lybaras Bone Giant | 150000 | 134000 | -16000 |
| Nippon Ninja | 90000 | 75000 | -15000 |
| Rasetra Saurus Skeleton | 100000 | 86000 | -14000 |
| Undead Pirates Zombie Ogre | 130000 | 116000 | -14000 |
| Avelorn Sister | 100000 | 87000 | -13000 |
| Engineers Ballzooka | 80000 | 67000 | -13000 |
| Myrmidia Eagle Runner | 90000 | 77000 | -13000 |
| Squig Squig Gobba | 80000 | 67000 | -13000 |
| Fimir Lesser Daemon | 70000 | 58000 | -12000 |
| Ironbreaker Rune Golem | 120000 | 108000 | -12000 |
| Ka-Sabar Block-Ra | 90000 | 78000 | -12000 |
| Norse Dwarf Ulfwerner | 110000 | 98000 | -12000 |
| Tilea Norse Ulfwerener | 110000 | 98000 | -12000 |
| Ka-Sabar Throw-Ra | 90000 | 79000 | -11000 |
| Mahrak Blitz-Ra | 90000 | 79000 | -11000 |
| Albion Woad Berserker | 80000 | 70000 | -10000 |
| Beastmen Ungor | 50000 | 40000 | -10000 |
| Centigor Ungor | 50000 | 40000 | -10000 |
| Daemons of Malal Harvester of Souls | 180000 | 170000 | -10000 |
| Dryad Birch Aspect | 70000 | 60000 | -10000 |
| Rasetra Saurus Throw-Ra | 120000 | 110000 | -10000 |
| Cathay Celestial Dragon Monk | 90000 | 81000 | -9000 |
| Clan Eshin Night Runner | 60000 | 51000 | -9000 |
| Dust Goblin Bone Giant | 150000 | 141000 | -9000 |
| Fimir Fianna Fimm | 110000 | 101000 | -9000 |
| Isha Sister of the Thorn | 80000 | 72000 | -8000 |
| Lybaras Sepulchral Stalker | 110000 | 102000 | -8000 |
| Dust Goblin Morbid | 70000 | 63000 | -7000 |
| Ninja Flings Ninja Halfling | 60000 | 53000 | -7000 |
| Rasetra Kroq-Ra | 140000 | 133000 | -7000 |
| Kurgan Ravager | 100000 | 94000 | -6000 |
| Myrmidia Vanguard Blitzer | 90000 | 84000 | -6000 |
| Clan Moulder Slave | 40000 | 45000 | 5000 |
| Forest Goblin Forest Goblin | 40000 | 45000 | 5000 |
| Ka-Sabar Skeleton | 50000 | 55000 | 5000 |
| Forest Goblin Savage Orc | 50000 | 56000 | 6000 |
| Kingdom of Ind Rakshaka | 110000 | 116000 | 6000 |
| Savage Orc Savage Lineman | 50000 | 56000 | 6000 |
| Treemen Spite | 20000 | 26000 | 6000 |
| Zandri Tomb Guardian Ancient | 130000 | 137000 | 7000 |
| Centigor Centigor | 90000 | 98000 | 8000 |
| Daemons of Tzeentch Blue Horror | 40000 | 48000 | 8000 |
| Kurnous Shape Changer - Wolf | 90000 | 98000 | 8000 |
| Forest Goblin Spider Rider | 120000 | 129000 | 9000 |
| Four Nations Forward | 80000 | 89000 | 9000 |
| Kislev Kossar | 80000 | 89000 | 9000 |
| Nautican Ignimbrite | 50000 | 59000 | 9000 |
| Pygmy Catcher | 80000 | 89000 | 9000 |
| Zandri Skeleton Slaves | 50000 | 59000 | 9000 |
| Zoat Zoat Juven | 50000 | 59000 | 9000 |
| Elemental - Air Incarnate Elemental of Air | 150000 | 160000 | 10000 |
| Sisters of Sigmar Sister Superior | 80000 | 90000 | 10000 |
| Daemons of Malal Drone | 70000 | 81000 | 11000 |
| Pygmy Pygmy | 50000 | 61000 | 11000 |
| Strigoi Strigoi | 100000 | 111000 | 11000 |
| Sylvania Pact Strigoi Vampire | 100000 | 111000 | 11000 |
| Avelorn Handmaiden | 120000 | 132000 | 12000 |
| Black Ark Kraken Helm | 100000 | 112000 | 12000 |
| Daemons of Khorne Bloodthirster | 200000 | 212000 | 12000 |
| Slaanesh Slaanesh Warrior | 110000 | 122000 | 12000 |
| Tilea Norse Lineman | 50000 | 62000 | 12000 |
| Undead Pirates Syreen | 110000 | 122000 | 12000 |
| Valkyrie Linewomen | 50000 | 62000 | 12000 |
| Gnome Lineman | 40000 | 53000 | 13000 |
| Slayer Giant Slayer | 110000 | 123000 | 13000 |
| Tilea Amazon Linewoman | 50000 | 63000 | 13000 |
| Daemons of Nurgle Plaguebearer | 120000 | 134000 | 14000 |
| Ethereal Wraith | 110000 | 125000 | 15000 |
| Gnome Bombardier | 40000 | 55000 | 15000 |
| Clan Pestilens Plague Carrier | 70000 | 87000 | 17000 |
| Gnome Blitzer | 70000 | 87000 | 17000 |
| Night Goblin Madcap Mushroom Addict | 60000 | 77000 | 17000 |
| Ogre Kingdom Fire Belly | 120000 | 139000 | 19000 |
| Sea Elf Blocker | 90000 | 110000 | 20000 |
| Isha Great Sylph | 160000 | 182000 | 22000 |
| Pirates of Sartosa Captain | 100000 | 122000 | 22000 |
| Blood Dragon Blood Dragon Vampire | 100000 | 123000 | 23000 |
| Daemons of Tzeentch Flamer | 70000 | 93000 | 23000 |
| Half-Orc Blocker | 80000 | 103000 | 23000 |
| Sylvania Pact Blood Dragon Vampire | 100000 | 123000 | 23000 |
| Khainite Assassins Shadow Blade | 100000 | 124000 | 24000 |
| Elemental - Air Air Elemental | 60000 | 85000 | 25000 |
| Elemental - Earth Air Elemental | 60000 | 85000 | 25000 |
| Elemental - Fire Air Elemental | 60000 | 85000 | 25000 |
| Elemental - Water Air Elemental | 60000 | 85000 | 25000 |
| Squig Cave Squigs | 80000 | 107000 | 27000 |
| Gnoblar Piggyback Rider | 70000 | 99000 | 29000 |
| Engineers Deathroller | 160000 | 202000 | 42000 |
| Tilea Dwarf Deathroller | 160000 | 202000 | 42000 |
| Clan Skryre Doom Flayer | 160000 | 204000 | 44000 |
| Ethereal Spirit Hosts | 60000 | 107000 | 47000 |
| Snotling Snotling Pump Wagon | 150000 | 204000 | 54000 |
Szieberth Ádám
Hosszúhetény, 2020-09-23