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Rarity Leaderboard

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36 minutes ago, FawltyPowers said:

Also, what's to stop those who play a Rata game of giving it a 10/10 rating to increase the score?

True, it is possible. That is why the calculations use not only the difficulty estimate, but also the rarity, which limits the manipulation of glasses. For example, if My name is Mayo, I mentioned earlier, had a difficulty score of 10, it would only give (100-96.19)*10 = 40 points.

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The issue with these sort of 'suggestion threads' is that it's usually only the people who see an issue with a suggestion that respond to it. People who are fine with it usually don't care enough to post just to agree. Then we end up with all the ideas looking unpopular when in reality several ideas in this thread have been absolutely fine even if they weren't perfect. No idea is gonna be unanimously popular but some of these would've worked for a rarity leaderboard imo.

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Hello,

 

Common Trophies (0 points) = 100% - 50% rarity

Slightly Uncommon Trophies (10 points) = 49,9% - 35 % rarity

Uncommon Trophies (25 points) = 34,9% - 20% rarity

Rare Trophies (50 points) = 19,9% - 10% rarity

Very Rare Trophies (250 points) = 9,9% - 5% rarity

Ultra Rare Trophies (1000 points) = 4,9% - 1.1% rarity

Prestige Trophies (10000 points) = 0% - 1% rarity

 

Simple to set up for @Sly Ripper

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Here's some numbers I just made up, but would still need someone to create a function for it. 

 

below% = points
100% = 0
90%  = 1
80%  = 2
70%  = 3
65%  = 4
60%  = 5
50%  = 6
40%  = 8
30%  = 10
20%  = 25
10%  = 50
9%   = 60
8%   = 70
7%   = 80
6%   = 90
5%   = 100
4.5% = 200
4%   = 250
3.5% = 300
3%   = 350
2.5% = 400
2%   = 500
1.5% = 600
1%   = 800
0.5% = 1000

 

Edited by MMDE
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@MMDE could you post the actual function used to compute the above points?

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2 hours ago, Arcesius said:

@MMDE could you post the actual function used to compute the above points?

 

Hehe, if you figure it out, you can have it, but eh, the question is if those numbers look good or not. Should there be a steeper curve near the end? Less of a steep curve at the end? By "the end", I mean when getting close to 0% from 50%. Should 60% or 70% be worth anything? Should it max out at 0.5% and not 0%?

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4 minutes ago, MMDE said:

Hehe, if you figure it out, you can have it, but eh, the question is if those numbers look good or not. Should there be a steeper curve near the end? Less of a steep curve at the end? By "the end", I mean when getting close to 0% from 50%. Should 60% or 70% be worth anything? Should it max out at 0.5% and not 0%?

 

Alright I will try to figure it out though... Is it a closed-form expression? 😅

 

But exactly those questions is what I wanted to examine by looking at the function. I wanted to check for saddle points and stuff. But it makes a good impression overall. I think it could be a bit less steem towards the end. Take the last step for example. You have 4600 points at 0.1% and 5000 points at 0%. There are only a handful of earnable trophies in that range, but they cover roughly 8% of the point scale. 

 

On the other hand, maybe because they are indeed THAT rare it is justified that they cover such a large portion of the scale, I dunno. I'll give it some more thought. 

 

EDIT: And no, 50% is a good cutoff. Maybe too high still, but personally I think anything above 50% at least shouldn't give any points. 

Edited by Arcesius
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6 hours ago, MMDE said:

 

If people are actually interested in a rarity leaderboard, we gotta agree on something first! 1f602.png

I liked your first formula more.

 

One 5% trophy equals more than one thousand 50% trophies.

I think that difference is too high.

 

I am no mathematician so I can't provide a better formula.

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I am in support of a rarity leaderboard, would be neat to see and could create some fun competition for anybody that way inclined.

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31 minutes ago, Lordidude said:

I liked your first formula more.

 

One 5% trophy equals more than one thousand 50% trophies.

I think that difference is too high.

 

I am no mathematician so I can't provide a better formula.

 

The first wasn't a formula, just "randomly" plotted points.

 

34 minutes ago, Arcesius said:

 

Alright I will try to figure it out though... Is it a closed-form expression? 😅

 

But exactly those questions is what I wanted to examine by looking at the function. I wanted to check for saddle points and stuff. But it makes a good impression overall. I think it could be a bit less steem towards the end. Take the last step for example. You have 4600 points at 0.1% and 5000 points at 0%. There are only a handful of earnable trophies in that range, but they cover roughly 8% of the point scale. 

 

On the other hand, maybe because they are indeed THAT rare it is justified that they cover such a large portion of the scale, I dunno. I'll give it some more thought. 

 

EDIT: And no, 50% is a good cutoff. Maybe too high still, but personally I think anything above 50% at least shouldn't give any points. 

 

Contact me on discord, and I'll help you with the function. It's a normal math function, no branching points or anything like it. In fact, it's created out of equations for some exact values I was looking for.

 

If anything, I think more points could be invested into the latter part. :') But maybe there could be a cut-off threshold at 0.2%, or something, but I'm not too steady on doing this properly.

Edited by MMDE
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24 minutes ago, Lordidude said:

One 5% trophy equals more than one thousand 50% trophies.

I think that difference is too high.

 

We are talking about a rarity leaderboard !

Someone with a ton of ultra easy trophies shouldn't be shown in it ... or only at the end ^^

 

And i think people only playing easy games won't come to see the rarity leaderboard, it's not their way of playing and will probably don't care at all about it :) 

 

I like @MMDE proposition :) 

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I personally only would like to see "ultra-rare" and "very-rare" trophies on this leaderboard. 

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21 minutes ago, Yuichiro-Akuhei said:

I personally only would like to see "ultra-rare" and "very-rare" trophies on this leaderboard. 

 

I guess I could give some reasoning here for why that isn't even needed IMO. It comes back to what @Arcesius commented on, that I had blown almost all the points in the part closer to 0%. You need so much of what is below "rare" to be equal to what most of the more rare trophies are. Also, none of these trophies are going to be anywhere near trophy spam fest games. :P

 

I think I calculated someone like ikemenzi (world 4th in terms of points) would get like 62500k points from 7/8 of their trophies. 😂 He also gets 700k from UR and 200k from VR. That's like around 1 million points total. You'd get more than 7/8 of his trophies from your very rare alone. Just guessing, but your UR would probably get you around 4 million?

 

Yes, Hakoom and tusman would likely beat you, after all, they also got more URs than you. The real test is if stream_force does. I can do actual calculations on it later today. However, I can push the function a bit more in favor of rewarding those with high rarity, though I think it was a fine balance. Another way is to set 0% being worth even more points.

Edited by MMDE
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1 hour ago, MMDE said:

 

Hehe, if you figure it out, you can have it, but eh, the question is if those numbers look good or not. Should there be a steeper curve near the end? Less of a steep curve at the end? By "the end", I mean when getting close to 0% from 50%. Should 60% or 70% be worth anything? Should it max out at 0.5% and not 0%?

Looks pretty good to me

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Just looking at your first formula as that's easy to calculate and assuming the following is correct:

 

90.01% - 100.00% = 0 Points

80.01% - 90.00% = 1 Point

70.01% - 80.00% = 2 Points

65.01% - 70.00% = 3 Points

60.01% - 65.00% = 4 Points

50.01% - 60.00% = 5 Points

40.01% - 50.00% = 6 Points

30.01% - 40.00% = 8 Points

20.01% - 30.00% = 10 Points

10.01% - 20.00% = 25 Points

9.01% - 10.00% = 50 Points

8.01% - 9.00% = 60 Points

7.01% - 8.00% = 70 Points

6.01% - 7.00% = 80 Points

5.01% - 6.00% = 90 Points

4.51% - 5.00% = 100 Points

4.01% - 4.50% = 200 Points

3.51% - 4.00% = 250 Points

3.01% - 3.50% = 300 Points

2.51% - 3.00% = 350 Points

2.01% - 2.50% = 400 Points

1.51% - 2.00% = 500 Points

1.01% - 1.50% = 600 Points

0.51% - 1.00% = 800 Points

0.01% - 0.50% = 1000 Points

 

I get the following (Ignore Ghostbusters and FEAR 2 as I have unachievable trophies and unachievable trophies haven't been added)

 

50892    DRIVECLUB
37020    Batman: Arkham Knight
32100    Crypt of the NecroDancer
31450    Death Road to Canada
29774    Earth Defense Force 4.1: The Shadow of New Despair
21312    Dariusburst: Chronicle Saviours
19816    Burnout Paradise
17444    Lumo
16620    Bulletstorm: Full Clip Edition
16098    Batman: Arkham Origins
16059    Super Meat Boy
15014    Batman: Arkham City
14813    Injustice: Gods Among Us Ultimate Edition
14375    F.E.A.R. 2: Project Origin
14094    Call of Duty: Black Ops
14034    DOOM
12296    Dishonored Definitive Edition
12055    Uncharted 3: Drake's Deception
12044    Dying Light
11924    XCOM 2
11798    Borderlands 2
11614    BioShock Infinite
11480    Dynasty Warriors 8: Xtreme Legends
11458    Wolfenstein II: The New Colossus
11455    Rocket League
11416    Devil May Cry 4
11008    Enter The Gungeon
10950    Dragon Age: Inquisition
10815    SUPER STREET FIGHTER IV
10618    Days Gone
10255    Raging Justice
10114    BioShock 2
9892    Dead Rising 2
9726    Alienation
9637    Grand Theft Auto V
9614    Downwell
9229    Shiness The Lightning Kingdom
8938    WipEout HD
8920    METAL GEAR RISING: REVENGEANCE
8886    Shadow of the Tomb Raider
8824    Assassin's Creed Origins
8654    Velocity 2X
8617    GHOSTBUSTERS: The Video Game
8602    Red Dead Redemption
8318    Killzone Shadow Fall
8292    Call of Duty: World at War
7981    Rise of the Tomb Raider
7850    Castlevania: Lords of Shadow
7849    Trackmania Turbo
7754    Gauntlet
7741    WipEout Omega Collection
7595    Victor Vran
7534    Astebreed
7521    The Binding of Isaac: Rebirth
7475    SteamWorld Heist
7461    Friday the 13th
7432    Slime-san
7138    Mortal Kombat X
7130    DmC Devil May Cry
6844    Everspace
6614    Ikaruga
6550    Dandara
6506    Assault Suit Leynos
6500    Butcher
6492    L.A. Noire
6450    Amplitude
6444    The Evil Within
6387    Resident Evil 7: Biohazard
6336    Devil May Cry 5
6066    The Last of Us Remastered
6008    Dead Nation
5997    Rad
5989    Moonlighter
5988    Ni no Kuni II: Revenant Kingdom
5986    Dead Island
5972    Bleed 2
5854    Tetris Effect
5746    BioShock
5636    Helldivers
5532    Titan Souls
5504    Alice: Madness Returns
5460    Bleed
5450    Furi
5436    Diablo III: Reaper of Souls
5295    Marvel's Spider-Man
5290    Dead Space 2
5271    Trine 2: Complete Story
5228    American Fugitive
5084    Nioh
4995    Stardust Galaxy Warriors: Stellar Climax
4992    Resident Evil Revelations 2
4889    Skyrim
4858    Trials Rising
4848    RESIDENT EVIL 5
4832    Dragon Quest Heroes II
4735    LittleBigPlanet
4726    Unravel Two
4665    Shovel Knight: Treasure Trove
4642    Darksiders II
4632    Dark Devotion
4612    Injustice 2
4603    Horizon Zero Dawn
4457    Uncharted 2: Among Thieves
4456    Bloodborne
4371    Watch Dogs 2
4368    Doom 3
4340    The Surge
4268    Dead Cells
4251    88 Heroes
4220    Broken Age
4191    Jotun
4169    Red Dead Redemption 2
4156    Everybody's Golf
4120    The Witcher 3: Wild Hunt
4044    Aggelos
4038    Shadow Warrior
4008    Kingdoms of Amalur: Reckoning
3846    NINJA GAIDEN Σ2
3836    Middle-earth: Shadow of War
3830    Puppeteer
3828    Middle-earth: Shadow of Mordor - Game of the Year Edition 
3826    Death's Gambit
3797    Geometry Wars 3: Dimensions
3796    Dragon's Crown
3759    Uncharted 4: A Thief's End
3720    RAGE
3700    Call of Duty: Modern Warfare Remastered
3655    Lone Survivor
3620    Alien: Isolation
3526    Bendy and the Ink Machine
3500    Oddworld: New 'n' Tasty
3440    Axiom Verge
3407    Sleeping Dogs: Definitive Edition 
3352    Caladrius Blaze
3332    Dishonored 2
3320    Lovers in a Dangerous Spacetime
3316    Slain: Back From Hell
3290    Devil May Cry HD
3280    Bayonetta
3246    Battle Chasers: Nightwar
3229    Guacamelee! 2
3228    Resident Evil 2
3222    Dragon's Dogma
3190    Demon's Souls
3152    Dragon Quest Heroes: The World Tree's Woe and the Blight Below
3123    Shadow of the Colossus
3086    Devil May Cry 2 HD
3072    Dust: An Elysian Tail
3038    Blasphemous
3019    The Last Guardian
2982    Batman: Arkham Asylum
2972    Beyond: Two Souls
2966    Devil May Cry 3 HD
2944    Diablo III
2943    Ys Origin
2906    Rabi-Ribi
2885    Fist of the North Star: Lost Paradise
2882    Raiden V: Director's Cut
2832    Dragon Quest XI: Echoes of an Elusive Age
2822    Death Stranding
2790    Bastion
2778    Nex Machina
2706    Lumines Remastered
2644    Rogue Legacy
2642    Castlevania Requiem: Symphony of the Night & Rondo of Blood
2638    DARK SOULS II: Scholar of the First Sin
2620    Dead Space
2612    Darksiders Warmastered Edition
2602    Children of Morta
2585    Guacamelee! Super Turbo Championship Edition
2570    Thumper
2564    Ruiner
2562    Call of Duty: Modern Warfare 2 Campaign Remastered
2512    Detroit: Become Human
2482    Superbeat: Xonic
2472    Rayman Legends
2462    Mothergunship
2460    DARK SOULS III
2454    Crysis
2450    Dark Souls: Remastered
2425    Resident Evil
2424    Everybody's Gone To The Rapture
2392    Chasm
2381    Yakuza Kiwami
2366    Celeste
2358    Assassin's Creed II
2344    Bloodstained: Ritual of the Night
2342    Dishonored: Death of the Outsider
2331    Vikings: Wolves of Midgard
2318    Arcade Game Series: Galaga
2282    Arcade Game Series: Pac-Man
2275    Ziggurat
2235    METAL GEAR SOLID PEACE WALKER HD EDITION
2222    Arcade Game Series: Dig Dug
2213    Pac-Man Championship Edition 2
2184    Broken Sword 5: The Serpent's Curse
2166    Arcade Game Series: Ms. Pac-Man
2143    SteamWorld Dig 2
2047    Tomb Raider
2042    Tales of Berseria
2036    Judgment
1940    Final Fantasy XIV: A Realm Reborn 
1937    Metal Gear Solid 2
1904    METAL GEAR SOLID V: THE PHANTOM PAIN
1895    METAL GEAR SOLID 4
1891    Fenix Furia
1847    Strider
1831    Horizon Chase Turbo
1823    Shadow Warrior 2
1789    Vanquish
1770    Hotline Miami 2: Wrong Number
1697    Transistor
1682    Mad Max
1682    Mega Man 11
1659    Resident Evil 0
1658    Monster Hunter: World
1609    Hotline Miami
1574    Hollow Knight
1573    Tiger Woods PGA TOUR 11
1538    Ni no Kuni: Wrath of the White Witch
1521    Valfaris
1475    The Messenger
1463    Metal Gear Solid 3
1458    Tomb Raider: Anniversary
1457    Persona 5
1450    Wolfenstein: The Old Blood
1440    Need for Speed: Rivals
1437    Shadow of the Colossus
1436    Onrush
1430    Sky Force Reloaded
1427    The Swords Of Ditto
1415    Titanfall 2
1412    inFamous
1409    ICO
1405    The Evil Within 2
1390    HEAVY RAIN
1376    Pyre
1370    Life is Strange
1353    Ys VIII: Lacrimosa of DANA
1351    Vampyr
1351    Xenon Valkyrie+
1345    Trine: Enchanted Edition
1344    Prince of Persia: Warrior Within
1341    Rayman Origins
1338    inFamous 2
1336    Uncharted: The Lost Legacy
1335    South Park: The Stick of Truth
1327    Tomb Raider: Underworld
1327    Uncharted: Drake's Fortune
1315    Wolfenstein: The New Order
1310    Tomb Raider: Legend
1306    Odin Sphere Leifthrasir
1301    Far Cry 3
1295    Redout
1286    Spyro 3: Year of the Dragon
1284    Gunlord X
1282    Salt and Sanctuary
1281    Prince of Persia: The Two Thrones
1274    Secret of Mana
1269    LEGO Harry Potter Collection: Years 1-4
1265    Unravel
1251    God of War: Ascension
1248    Sundered
1245    Yomawari: Midnight Shadows
1241    NieR: Automata
1241    Ratchet & Clank
1237    Mark of the Ninja: Remastered
1230    inFamous Second Son
1223    LEGO Harry Potter Collection: Years 5-7
1223    The Council
1199    inFamous First Light
1189    God of War III
1188    Sekiro: Shadows Die Twice
1182    Wizard of Legend
1169    Spyro 2: Ripto's Rage!
1166    Wreckfest
1161    God of War
1149    Until Dawn
1147    God of War
1136    Untitled Goose Game
1134    Yoku's Island Express
1132    South Park: The Fractured But Whole
1128    God of War II
1113    The Witness
1111    God of War: Chains of Olympus
1110    Spyro the Dragon
1109    God of War: Ghost of Sparta
1109    Prince of Persia: The Sands of Time
1108    The Order: 1886
1094    Oxenfree
1089    Resident Evil 3
1066    The Sexy Brutale
1053    Tesla vs Lovecraft

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7 hours ago, MMDE said:

I gave it more thought! :)

 

I wrote a math function that would only give you points between 0% to 50%, and you'd get from 1 to 5000 points! Huge range in terms of points, this gives you some value for lesser rare, but not much, and spam fest games are not worth anything at all. The trophy has to at least be a little bit rare to count! Some wanted 50%, so I started at 50%. It has a pretty steep curve that really takes off near the end, and I feel this actually ended up pretty fair. I had to play around a bit with the retardation rate, but it ended up at a pretty nice number. The function isn't the simplest, but it's actually surprisingly clean. If someone wants some change to it, like if it should be steeper or not, I can play around with it a bit more, but it does take some while, as there's a lot of math involved. :D

 

2020-11-10-04h27-21.png

2020-11-10-04h27-32.png

ı2020-11-10-04h31-57.png

 

If people are actually interested in a rarity leaderboard, we gotta agree on something first! 1f602.png

It is very good to see somethings changing finally. It also would be better if this leaderboard going to be a part of the main leaderboard section.

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1 hour ago, FawltyPowers said:

Just looking at your first formula as that's easy to calculate and assuming the following is correct:

 

 

yeah, but I changed it to only 50% and less and going up to 5000. :') Also, it's an actual function, not just random plotted. Should favor rarity a lot more now.

Edited by MMDE
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More leaderboards/statistics are always nice, hard to be against this. Make it happen!
 

8 minutes ago, Sinthoras_96 said:

Whatever you do about the rarity Leaderboard: I'm all for it. 

I would also like to see some changes to the main Leaderboard. Companies like Ratalaika make a fortune out of psnp. Without the Leaderboard here, nobody would buy these crap games. 

 

The outrage from those who did would be unbearable though, let em have it. There's space for everyone.

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Just now, Aodir said:

More leaderboards/statistics are always nice, hard to be against this. Make it happen!
 

 

The outrage from those who did would be unbearable though, let em have it. There's space for everyone.

If I was the owner of this site, I would hate the idea that others are making tons of money from my product without any income for myself 

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21 hours ago, MMDE said:

...

 

If people are actually interested in a rarity leaderboard, we gotta agree on something first! 1f602.png

 

I'm on board with it.  What are the chances that something like this gets implemented?

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5 hours ago, dmland12 said:

 

I'm on board with it.  What are the chances that something like this gets implemented?

 

0.001% 🤔

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