Reposted from the Salty SEA-- uhh I mean.. ASIA Forums...   Foreword: I hereby take no responsibility for any brain damage, blank faces, dead brain cells and/or incomprehension leading to insanity. The mechanics here were neither designed nor implemented into the game by me or anyone who helped with this thread.   Welcome to World of MathShips! "I will never use this silly Math things" - College Student "Who needs a calculator? I got my Asian Friend here!" - Unprepared College Student   So this topic keeps popping up a lot. And we have some of the most heated discussions regarding this. The topic of USN CVs vs IJN CVs. And how some will argue that its the USN CVs that are better, while others advocate that the IJN CVs dominate the sky.   So with the help of many people, we spent hours calculating via a Skype chat that effectively killed 80% of our brains.   So this is the result. Thanks to Amade, Haku, Footscray, IJN_Yura and many others who helped try to understand   This is how AA Mechanics and Fighter vs Fighter Mechanics work. Firstly, it is NOT, repeat, NOT a Damage over Time. So that Average DPS you see is NOT really Damage Per Second. Secondly, ONE squad can only engage ONE squad at a time.   AA mechanics work like this. (Values here are all in top configuration, without skills or modules) Every second, a calculation is performed with this formula: Chance of 1 Squad to shoot down 1 Plane: Total DPS / Survivability = (X)*100%/sec   So for example in Tier 4s, a Langley Fighter Squadron meets a Hosho Fighter Squadron. We know that the Langley fighter squad has a average DPS of 31 (per fighter) so the Squad has a DPS of 186 and a survivability of 760 whereas the Hosho fighter squad has an average DPS of 28 (per fighter) so the squad has a DPS of 112 and a survivability of 780.   So when they vie in battle this calculation is performed:   For the Langley: 186(Langley Fighter's total DPS) / 780(Hosho Fighter's Survivability) = 23.85%/sec. For the Hosho: 112(Hosho Fighter's total DPS) / 760(Langley Fighter's Survivability) = 14.74%/sec.   What does this mean? It means that in that engagement, the Langley's fighters has a 23.85% chance every second to shoot down one of the Hosho's fighters (That % increases the less planes there are in the squad) while the Hosho only has a 14.74% chance every second to shoot down one of the Langley's fighters. So we can clearly see how in a 1v1 Squad Engagement, the USN CV will more or less win that engagement.   Ok so we got 1 Squad vs 1 Squad... But what happens if there is 1 Langley squad vs 2 Hosho Squads? Well you would think that the two squads will combine their DPS, so simply multiply the chances by two right?   Well no... Apparently now, TWO rolls of 14.74% happens every second. This is because the stats of TWO squads are NOT cumulative. So neither their survivability nor their DPS are combined. To calculate that - this formula is used every second: Chance of N squad to shoot down 1 Plane: 1 - (1-X)^N Where X is the % chance of plane shot down every second (1 squad vs 1 squad) And N is the number of squads.   So once again we look at the Langley vs Hosho example, when both meets in battle (assuming at the exact same time) This calculation is performed: 1 - (1-0.2385)^2 = 27.3%/sec.   So when 2 Hosho squads meets 1 Langley squad, the Langley still retains the 23.85%/sec chance to shoot down a Hosho Fighter. But the 2 Hosho Squads will now have a 27.3%/sec chance to shoot down 1 Langley Fighter.   Bear in mind that this is calculations are ALL made with the assumption that both meet at the SAME time and both have FULL squadrons of 6(USN) or 4(IJN). The % values will differ when the planes are shot down during an engagement. This calculation is to show in engagement which squad will shoot down the other's fighter first.   With that, here are our calculations: (No Crew Skills, No Ship Upgrades) Tier USN Fighters IJN Fighters Individual DPS Total DPS Survivability Individual DPS Total DPS Survivability 4 31 186 760 28 112 780 5 35 210 940 35 140 970 6 42 252 1140 41 164 1150 7 53 318 1400 47 188 1360 8 63 378 1670 63 252 1620 9 73 438 1830 80 320 1820 10 80 480 2150 87 348 1970     USN Squad vs IJN Squad IJN Squad vs USN Squad Tiers 1v1 2v1 3v1 1v1 2v1 3v1 4v1 4 23.85% 42.01%   14.74% 27.30%     5 21.65% 38.61%   14.89% 27.57%     6 21.91% 39.02%   14.39% 26.70% 37.25%   7 23.38% 41.30% 55.02% 13.43% 25.05% 35.12%   8 23.33% 41.22% 54.94% 15.09% 27.90% 38.78%   9 24.07% 42.34% 56.22% 17.49% 31.91% 43.82%   10 24.37% 42.79% 56.73% 16.19% 29.75% 41.12% 50.65%   Alright lets understand this data... Lets look at 12 Fighters vs 12 Fighters as an example, lets say a Lexington(211) fights a Shokaku(311) ​So there are 2 USN Squads vs 3 IJN Squads, each totalling 12 fighters. This calculation is therefore performed: USN: 1 - (1-0.2333)^2 = 41.22%/sec IJN: 1 - (1-01749)^3 = 38.78%/sec   So we can prove that in the initial engagement, the USN Squads has a higher chance to shoot down the first plane, as a result, their next calculation after the Shokaku squads loses 1 fighter squad will have a higher %/sec to shoot down the next plane.   In summary, during squad engagements In a 1USN vs 1IJN engagement, the USN will usually get the first enemy plane down. Their %/sec being 61%(Langley) - 50%(Midway) higher than their IJN counterparts In a 1USN vs 2 IJN engagement, the IJN are likely to get the first enemy plane down. Their %/sec being 22%(Ryujo) - 33%(Taiho) higher than their USN counterparts In a 2USN vs 2IJN engagement, the USN will win. Their %/sec being 65%(Ranger) - 43%(Midway) higher than their IJN counterparts In a 2USN vs 3IJN engagement, the USN still has the upper hand. Their %/sec ranges from 5%(Indy) - 18%(Ranger) higher than their IJN counterparts. Even when both sides have equal numbers, the USN has the upper hand.   I hope that this thread gives you an understanding of the chances at play when Fighter squadrons engages other Fighter Squadrons.   This thread assumes that Squads will focus the same enemy squad Squads are at full strength (6 for USN, 4 for IJN) All squads meet at the same time   This thread does not account for USN Planes being faster Crew skills and/or Ship Upgrades Ships AA Auras IJN re-arm times Catapult Fighters   tl;dr: In equal and sometimes less numbers, the USN fighters will win.   All Hail Vadim
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