"Best Pokemon, Move-Sets and Match-ups"

#PokemonGO: I've been lurking for a few days trying to see if anyone else is going to do the calculations, but it doesn't seem like they've shared the results yet, so I thought I'd give it a try. I got inspiration from here thanks to /u/ParticleBender. At the moment I've only looked at which move-sets perform the best attacks, I haven’t taken into account the damage you will be taking.Eg. Water Attacks get a x2 against Fire Type Pokemon, but there is currently no consideration that the responding Fire Attack would be x0.5 against Water. Similarly with Dragon vs Dragon it should cancel out as both are x2, but again this is not taken into account. There is room in the model to take that into account at a later date if this proves to be useful. I've run several "models":Attacking vs All Types Evenly WeightedAttacking vs All Types with Peak WeightedAttacking vs All Types with “Meta” WeightedAttacking vs Individual Types First and SecondDefending vs All Types Evenly Weighted EDIT: To put it in better words:The first three tables are trying to answer the question "What's the best attacking Pokemon?", and looks at it from three slightly different angles. (see another reply for the differences between the three)The next two tables answer the question "If I'm fighting a X Type Pokemon, which best counters it" (1st best, and 2nd best).And the last table is "Which is the best defending pokemon?" as the way attacks are used by the AI in gyms is slightly different. See below for calculation method PS. This is my first post reddit, so if you have any tips in getting the formatting right I'd love the help. EvenlyRankPokemonRatingQuickCharge1Dragonite37.6Steel WingDragon Pulse2Dragonite37.4Steel WingHyper Beam3Vaporeon35.8Water GunHydro Pump4Vaporeon35.6Water GunAqua Tail5Snorlax35.6LickEarthquake6Poliwrath35.5Mud ShotIce Punch7Dragonite35.2Steel WingDragon Claw8Snorlax34.3LickHyper Beam9Dragonite33.3Dragon BreathDragon Pulse10Snorlax33.2LickBody Slam11Slowbro32.9Water GunIce Beam12Dragonite32.5Dragon BreathHyper Beam13Blastoise32.1Water GunFlash Cannon14Slowbro32Water GunPsychic15Snorlax31.9Zen HeadbuttEarthquake16Lapras31.5Frost BreathIce Beam17Golem31.4Mud ShotEarthquake18Snorlax31.1Zen HeadbuttHyper Beam19Golem30.8Mud ShotStone Edge20Lapras30.6Frost BreathDragon Pulse21Poliwrath30.6Mud ShotSubmission22Snorlax30.5Zen HeadbuttBody Slam23Vaporeon30.5Water GunWater Pulse24Lapras30.4Frost BreathBlizzard25Poliwrath30.1Mud ShotMud Bomb26Golduck30.1Water GunIce Beam27Golem29.3Mud ShotAncient Power28Dragonite29.3Dragon BreathDragon Claw29Golduck29.3Water GunPsychic30Omastar28.8Water GunRock Slide PeakRankPokemonRatingQuickCharge1Dragonite83.7Steel WingDragon Pulse2Dragonite83.4Steel WingHyper Beam3Vaporeon82.2Water GunHydro Pump4Vaporeon81.8Water GunAqua Tail5Dragonite79.5Steel WingDragon Claw6Poliwrath78.5Mud ShotIce Punch7Snorlax77.6LickEarthquake8Snorlax74.6LickHyper Beam9Lapras73.7Frost BreathIce Beam10Slowbro73Water GunIce Beam11Dragonite73Dragon BreathDragon Pulse12Golem72.2Mud ShotEarthquake13Snorlax72LickBody Slam14Blastoise71.8Water GunFlash Cannon15Lapras71Frost BreathBlizzard16Slowbro70.9Water GunPsychic17Snorlax70.4Zen HeadbuttEarthquake18Vaporeon70.1Water GunWater Pulse19Dragonite70Dragon BreathHyper Beam20Poliwrath69.6Mud ShotSubmission21Poliwrath69.2Mud ShotMud Bomb22Golem68.8Mud ShotStone Edge23Lapras68.5Frost BreathDragon Pulse24Snorlax68.3Zen HeadbuttHyper Beam25Snorlax66.9Zen HeadbuttBody Slam26Golduck66.8Water GunIce Beam27Golem65.9Mud ShotAncient Power28Blastoise65.8Water GunHydro Pump29#N/A#N/A#N/A#N/A30#N/A#N/A#N/A#N/A MetaRankPokemonRatingQuickCharge1Dragonite31.3Steel WingDragon Pulse2Dragonite30.8Steel WingHyper Beam3Dragonite29.3Steel WingDragon Claw4Poliwrath29.1Mud ShotIce Punch5Vaporeon29Water GunHydro Pump6Dragonite28.9Dragon BreathDragon Pulse7Vaporeon28.9Water GunAqua Tail8Snorlax28.8LickEarthquake9Snorlax28.6LickHyper Beam10Lapras27.9Frost BreathIce Beam11Dragonite27.9Dragon BreathHyper Beam12Slowbro27.8Water GunIce Beam13Snorlax27.6LickBody Slam14Lapras26.9Frost BreathBlizzard15Lapras26.9Frost BreathDragon Pulse16Blastoise26.2Water GunFlash Cannon17Slowbro26.1Water GunPsychic18Snorlax25.8Zen HeadbuttEarthquake19Snorlax25.7Zen HeadbuttHyper Beam20Golduck25.5Water GunIce Beam21Dragonite25.5Dragon BreathDragon Claw22Snorlax25.3Zen HeadbuttBody Slam23Golem24.9Mud ShotStone Edge24Vaporeon24.8Water GunWater Pulse25Golem24.6Mud ShotEarthquake26Omastar24.5Water GunRock Slide27Golduck23.8Water GunPsychic28Lapras23.8Ice ShardIce Beam29Poliwrath23.8Mud ShotSubmission30Poliwrath23.6Mud ShotMud Bomb Each Type 1st Best Move Setvs TypePokemonAvgQuick MoveChargeNORMALDragonite37.4Steel WingHyper BeamFIREVaporeon35.8Water GunHydro PumpWATERVictreebel24.3Razor LeafSolar BeamELECTRICGolem31.4Mud ShotEarthquakeGRASSLapras31.5Frost BreathIce BeamICEDragonite37.4Steel WingHyper BeamFIGHTINGSnorlax31.1Zen HeadbuttHyper BeamPOISONSnorlax31.9Zen HeadbuttEarthquakeGROUNDVaporeon35.8Water GunHydro PumpFLYINGLapras31.5Frost BreathIce BeamPSYCHICSnorlax34.3LickHyper BeamBUGArcanine27.9Fire FangFlamethrowerROCKVaporeon35.8Water GunHydro PumpGHOSTSnorlax34.3LickHyper BeamDRAGONDragonite33.3Dragon BreathDragon PulseDARKDragonite37.4Steel WingHyper BeamSTEELGolem31.4Mud ShotEarthquakeFAIRYDragonite37.4Steel WingHyper Beam Each Type 2nd Best Move Setvs TypePokemonAvgQuick MoveChargeNORMALDragonite37.6Steel WingDragon PulseFIREVaporeon35.6Water GunAqua TailWATERVictreebel23.3Razor LeafLeaf BladeELECTRICPoliwrath35.5Mud ShotIce PunchGRASSLapras30.4Frost BreathBlizzardICEDragonite37.6Steel WingDragon PulseFIGHTINGExeggutor26.7Zen HeadbuttPsychicPOISONSnorlax31.1Zen HeadbuttHyper BeamGROUNDVaporeon35.6Water GunAqua TailFLYINGLapras30.4Frost BreathBlizzardPSYCHICSnorlax35.6LickEarthquakeBUGArcanine26.3Fire FangFire BlastROCKVaporeon35.6Water GunAqua TailGHOSTSnorlax35.6LickEarthquakeDRAGONDragonite29.3Dragon BreathDragon ClawDARKClefable22.9PoundDazzling GleamSTEELArcanine27.9Fire FangFlamethrowerFAIRYDragonite37.6Steel WingDragon Pulse DefensivelyRankPokemonRatingQuickCharge1Dragonite43.4Steel WingHyper Beam2Snorlax41.2Zen HeadbuttEarthquake3Snorlax39Zen HeadbuttHyper Beam4Dragonite38.4Steel WingDragon Pulse5Snorlax35.2LickEarthquake6Dragonite35Steel WingDragon Claw7Lapras34.6Frost BreathBlizzard8Snorlax33.4Zen HeadbuttBody Slam9Snorlax33LickHyper Beam10Exeggutor32.3Zen HeadbuttSolar Beam11Lapras32Ice ShardBlizzard12Lapras31.4Frost BreathIce Beam13Muk30.6Poison JabSludge Wave14Dragonite30.4Dragon BreathHyper Beam15Lapras30.2Frost BreathDragon Pulse16Exeggutor29.6Zen HeadbuttPsychic17Nidoking29.6Poison JabEarthquake18Vaporeon29.1Water GunHydro Pump19Exeggutor29ConfusionSolar Beam20Lapras28.8Ice ShardIce Beam21Nidoqueen28.7Poison JabEarthquake22Victreebel28.6Razor LeafSolar Beam23Clefable28.4Zen HeadbuttMoonblast24Lapras27.6Ice ShardDragon Pulse25Flareon27.6EmberFire Blast26#N/A#N/A#N/A#N/A27Golem27.5Mud ShotEarthquake28Dewgong27.4BubbleBlizzard29Snorlax27.3LickBody Slam30Aerodactyl27Steel WingHyper Beam  CalculationsInputs Move sets takien from SerebiiAttacks per minute taken from another thread thanks to /u/elemeinCp per level up from siteType effectiveness based off Gen 6 tables. [TvT]  Assumptions Not all quick moves data was available so I assumed data for Bullet Punch, Cut, Fire Fang, Metal Claw, Poison Jab, Psycho Cut, Rock Smash, Rock Throw, Scratch, Spark, and Splash. All of which were round numbers similar to what you would expect for that Spell Power [Qp].Each Trainer level [Tr] results in 2 more available Pokemon Power Ups and the trainer level is 20; though this doesn’t really affect the ranking at all.It takes 11 Quick Attacks to build up all charges [Ccharges]Each Charge Attack [Cp] takes 2 seconds to completeThe attacker would never try to dodgeIt was been noted that while defending the use of moves is slightly random and is not correlated to attack speed of the moves. Thus I assumed quick attacks are done at 60 apm, and every 4th quick attack a charge attack is completed. As such good defending Pokemon have slow hard hitting attacks.Damage done by a move has linear relationship with Combat Points of the Pokemon attacking Attacking Formulas i=vs type [CP]=2([Tr][CP/lvl]) Quick DPS [Qdps]_i=[CP]/1000 (([Qp] [TvT]_i [Qapm])/60) Charge Dps [Cdps]_i=[CP]/1000 (([Cp] [TvT]_i)/2) If [Qdps] > [Cdps] then we do not use the charge attack at all. Rating DPS [Rdps]_i=[Qdps]_i  If [Cdps] > [Qdps] (plus a little) then we use a charge powers completely Rating DPS [Rdps]=(11(60/[Qapm] ) [Qdps]_i+2[Cdps]_i [Ccharges])/(11(60/[Qapm] )+2[Ccharges] ) Defending Formulas Rating DPS [Rdps]=(4[Qdps]_i+2[Cdps]_i)/(4+2) Rating Formulas [Meta]=∑_(i=1)19▒([Meta]_i [Rdps]_i)/19 [Even]=∑_(i=1)19▒[Rdps]_i/19 [Peak]=√(∑_(i=1)19▒[Rdps]_i2 )/2 Meta ValuesThese are definitely wrong, but I just needed somewhere to start. TypeWeightingNORMAL1.5FIRE1WATER1ELECTRIC0.5GRASS0.5ICE1.5FIGHTING1POISON0.5GROUND1FLYING2PSYCHIC1BUG0.5ROCK0.5GHOST0.5DRAGON1.5DARK0.5STEEL0.5FAIRY0.2 via /r/TheSilphRoad http://ift.tt/29I2ttW