Parabolic Power Curve
A design flaw that shows up mainly in RPGs
, but also in other games where the main characters' abilities are supposed to improve over time. The Parabolic Power Curve is a situation where, beyond a certain point, increasing your character's power actually makes him less effective. Not Crippling Overspecialization
, nor the milder situation where characters simply stop getting more powerful at a certain point
. This is a situation where a character that should, on paper, be less powerful actually has an easier time with a given challenge.
Often shows up when a game uses elements of Dynamic Difficulty
, such as scaled encounters
, but doesn't get the balance right. Occasionally a designer will put this in a game deliberately, as a kind of Anti-Grinding
, but this is not wise as it tends to infuriate the players - especially if they've gotten so powerful that the game has become Unwinnable
. Sometimes this can be defused by advertising it as a feature, but not always.
In games where the level and difficulty caps are changed through updates, the parabolic curve may become a sine curve instead, with one parabola for each interval between caps.
Contrast Elite Tweak
. Compare Empty Levels
, where it's all downhill from the start, and Low-Level Advantage
, where while gaining levels does make your character stronger, there are still benefits to staying low-leveled. Unrelated to Linear Warriors, Quadratic Wizards
, which is about a parabola opening upward rather than downward... though the experience of playing a fighter in a game geared to scale its difficulty alongside quadratic wizard growth can sometimes result in this. If the Parabolic Curve is applied to specific stats rather than leveling as a whole, it's Diminishing Returns for Balance
Beat 'em Up
- While it isn't completely fatal, larger bombs and faster fuses can make it very difficult to avoid killing yourself in Bomber Man.
- Shmups with speed power-ups. One or two are usually necessary to dodge maneuver properly. Some, however, allow you to stack speed-ups far past the point when your ship handles with any sort of controlability. (The Gradius series is a prime example; though a few games have a method to speed down, they either cost many more power chips than to speed up or are only accessible at maximum speed.)
- In the Fighting Fantasy books, players have to determine Skill, Stamina, and Luck scores at the beginning. Normally, the higher these are, the better. In Magehunter, however, due to body-switching, it's an advantage to start with the lowest Skill and Stamina scores possible.
- In Black Vein Prophecy, you need to fail the first luck check, or you're doomed to wander through the book without a hope of beating it. If you rolled a 6 for your luck (the maximum), it is literally impossible to win.
- In the ultimate difficulty of Phantasy Star Online, the temporary invincibility after being hit is taken away unless you get completely knocked over. Thus, it's only possible to survive some attacks until your defense gets high enough.
- World of Warcraft uses this intentionally. Stats granted by items (in particular, ratings that convert to a percentage increase in effectiveness like armor, critical strike chance, dodge chance, etc.) lose relative power as characters level up, encouraging players to seek better gear. This was actually done to avoid the problem of Power Creep, Power Seep where, given a logical progression of gear at higher levels, players would eventually be running around with 100% crit, haste, dodge, etc., severely breaking game balance.
- One side-effect of this is that items and enchants converted from the old rating system could be absurdly overpowered in the hands of low-level characters — thus spawning a whole culture around twinking characters for battleground play. (Ironically, this made it so hard for normally leveling characters to compete in PvP that Blizzard eventually created a new bracket just for twinks.)
- A variant of this situation occurred with Rage-based tanks (Warriors and Feral Druids), who count on being hit to generate power for their own attacks. With sufficient gear levels, these characters would get hit so seldom that they could not earn enough Rage to generate threat. Again, Blizzard addressed the issue by adding talents and skills that generate Rage (or Mana/RP for Paladins and Death Knights, respectively) when an attack is avoided.
- The Elder Scrolls IV: Oblivion had some class combinations run into this, while others didn't. Due to how the Level Scaling worked, classes who leveled up by using non-combat skills (like Speechcraft) would inevitably get into encounters with creatures who weren't interested in talking things out, whereas combat-oriented classes weren't so burdened because they spent their levels killing things. Likewise, the attribute bonuses for a given level-up could be messed up by leveling up with skills governed by the wrong attribute (like a mage getting bonuses for the Personality attribute instead of Intelligence and Willpower because they trained up Illusion magic, a Personality based skill). Also, while enemies scaled with the PC, many allied characters either didn't have this scaling, or had the same low-level equipment even at the highest levels. Because friendly characters behave like suicidal lemmings on crack in combat, escort missions became increasingly difficult at high levels, with the highest level players having to constantly heal/shield their allies, nuke all the enemies in the area with custom Destruction spells before the battle could even begin, or sedate their Trigger Happy allies with Illusion magic until the battle was over to keep them from committing suicide by joining the fight. The good news it that aside from Martin (who at least can heal himself, levels with the player, and gets good equipment), there are almost no instances where losing NPC allies makes the mission unwinnable, though it often does leave the player to fight all the high-level enemies alone.
- Another issue came with inconsistent scaling. Damage, both of weapons and magical is capped (stats only go so high), but health is level dependent. So as you level beyond a certain stage, you and your enemies grow more durable, but your damage stays the same, leading to long, drawn out slug fests. Worse still, monster damage does scale with level, which made certain enemies much harder unless the player resorted to a Game-Breaker like 100% Chameleon or the best alchemy poisons, which could make the game too easy, instead.
- Fallout 3 does it as well. While completing quests gives you better and better perks, to the point that a BB gun in the hands of a level 30 character is better than a minigun in the hands of a level 5, enemy health scales much faster and much farther than the increased damage you can do even with the best perks and weaponry. The major changeover starts to occur around the time Super Mutant Brutes replace most of the normal Super Mutants. After that, enemies with sky-high health become bog-standard. Some people build specialty characters who can still waste them, but this is difficult and takes a lot of knowledge of the game and usually just the right gear and tactics.
- It gets even worse if you have the Broken Steel DLC installed. Once you pass level 15, some new monsters start showing up (Albino Rad Scorpion, Feral Ghoul Reaver, Super Mutant Overlord, etc...) who are much tougher and stronger than anything that came before them, with the sole exception of the Super Mutant Behemoth. Unlike the Behemoths however, these Nuclear Nasties respawn and these monsters are tough for a level 30 character (someone who hit the level cap), let alone a level 15 player, and the Overlords are given an additional 35 points of damage with their Tri-Beam Lasers.
- Then there's Point Lookout, whose Swampfolk and Tribals not only have the highest HP and DR of any human enemies despite their lack of armor, but their weapons are haxed to deal unblockable damage bonuses much like the Broken Steel Overlords. What's worse Point Lookout Tribals and Swampfolk carry double-barrel shotguns that do +35 damage per pellet for a total of 400 hit points if all 9 pellets hit. Yippee.
- Fallout: New Vegas tones down the level scaling in the base game, but uses a "sine power curve" with the DLC's, each of which raises the level cap by 5, and scales up the enemies every 10 levels or so.
- Final Fantasy VIII is another famous example. Your characters had levels and increasing them gave you slight bonuses to stats, but the enemies were scaled and got powerful much faster than the player. The player was supposed to use the Junction system - which provides a much better time to earnings ratio - to increase their own power, but obsessive grinders often didn't realize until it was too late.
- Those who understood the junction system well had little difficulty beating the game at the party's starting level.
- Geneforge 3 gives the player canisters that can increase his attributes, but using too many makes him suffer violent mood swings. Although this doesn't make the game unwinnable, eventually the player will not be able to take certain quests due to the character flying off the handle and attacking the quest givers. What makes this all the more annoying is the fact that the player was warned of this in the previous two Geneforge games, but due to Gameplay and Story Segregation nothing significant ever came of it. So when the warnings show up here for the third time, the player is likely to disregard them until past the point of no return.
- Geneforge 2 did have a few encounters that forced the PC into fights if they had used too many canisters.
- In all games after the first, it will affect the ending. It's really hard to do a no-canister game, but it will make some bittersweet or even good endings better. In game 1, however, the game assumes you used canisters heavily, even if you used none at all.
- The US and EU releases of RPG The 7th Saga altered level-up stat gains waaay downward, resulting in lots of Forced Level-Grinding. It also had boss battles with other characters at the same level as yours - but with the old stat gain formula. If you leveled up too far, their stats would outmatch yours to an unbeatable degree.
- Final Fantasy VII had a multi-layered version of this: Sephiroth's stats during the final fight are determined by a number of flags activated by the player. The more of these flags activated, the stronger he became. Gaining levels above level 90 were among these flags, as were defeating either or both Ruby and Emerald Weapon, acquiring Knights Of The Round, acquiring each character's best weapon, and a couple other possibilities. Note that the fight is still fairly easy if you've achieved any of the above.
- Due to a glitch, this can happen to seriously overleveled characters in Phantasy Star IV. Once a character's level gets a few levels away from 100, their stats begin to drop sharply and they lose skills. This isn't an issue in normal play, however; you can beat the game at around level 45-50, and the experience required to get that high of a level is so massive that it takes very deliberate effort to get that high (XP requirements for a single level up when in the 90s range are more than the total XP need to be able to beat the game).
- The web RPG DragonFable recently had to rebalance their entire battle scaling system because fights at high levels were getting so tedious people would get bored trying to get through quests where every one of the 10 or 15 battles took 2 minutes to finish. It's been fixed now, though.
- The Fire Emblem games and many of their cousins, some of the units have this problem. You can eventually build some of your characters to the point where they can one-shot most enemies easily, at which point they become nearly impossible to keep alive. What happens is, an enemy will move into position and attack. He'll get blown away on the counterattack, but the character will still take some damage. Once the attacker dies, the space he currently occupied is now free and another enemy will move into it, swing for some damage, die on the counterattack, etc. Repeat six or seven times a turn and many characters, particularly the more glass cannon sorts, can end up dead. It is particularly obnoxious with mages, who can easily kill many melee units (due to their low resistances) but having low defense against physical attacks themselves, can easily put themselves in this situation. Some very powerful units, however, either have so many hit points, such high defenses, or are so likely to dodge that they annihilate groups of enemies single-handedly.
- Ditto Battle for Wesnoth. Paladins vs. walking corpses and magi vs. almost anything are particularly poignant examples.
- In the strategy RPG Ogre Battle, your units get universally more powerful with levels, however a crucial element of the game is keeping the populace's faith in you. If you defeat enemy units with higher-level units, that faith goes down because you look like a bully, so other characters help you out less along the way. This was meant to encourage players to level less, but it didn't work because the players instead identified and exploited loopholes in the system.
- OgreBattle 64: Person of Lordly Caliber also had one nasty problem with leveling. Dragons are particularly powerful enemies, and in order to get several powerful magical crests, you've got to defeat two dragons, and a dragon tamer (strengthens dragons) in a random battle in a certain place. If you don't do the battle early enough, the dragons are all extremely strong. Smart players would bring a strong multi-attacker, and two Pumpkin Heads (HP Halving attacks), but those are late game enemies, and only available by recruiting a special character.
- Final Fantasy Tactics sort of falls under this trope. While Level Grinding would allow you to easily win the normal missions, which all have a preset difficulty, it would actually make random battles far more difficult. This is because the enemies in Random Encounters scaled to match both your level and the equipment you're supposed to have at that level. Players that overleveled would find themselves in the frustrating position of either having to save before around the overworld map and hoping not to get into a random battle, or training their characters in the thief class and stealing stronger gear from the few human enemies they encounter (a very tedious task, and quite difficult, considering how weak thieves are).
Anime & Manga
- Kinda happens in Dragon Ball Z, surprisingly enough. During their time in the Hyperbolic Time Chamber, Goku and Gohan learn to remain in their Super Saiyan forms either indefinitely, or for days at a time. While this is useful for fighting, as it saves them the time and energy required to transform, it leaves them too strong for normal household stuff. For example, they tend to accidentally crush mugs when they try to have something to drink. After the Cell arc ends, they stop using Super Saiyan as default, though they can still maintain it outside of a fight if they choose. High-school was awkward enough for Gohan as it was; bright gold hair would've only made things worse.
- As with the Dragonball Z, example above, this happens in an episode of Charmed where Paige magically grants Morris invincibility in which to stop a hostage situation. Unfortunately for him he can't turn it off and as the episode goes on Morris gets stronger and stronger, first he is impervious to bullets, then he starts pulling car doors off of his police car, then he accidentally tosses a criminal with his superstrength. At the end of the episode he sits in his wrecked office calling Paige and wishing for her to take it back. Then he crushes his phone in his hand.
- Partially averted in GURPS, all skill rolls are made by rolling 3 six-sided dice and comparing the total to the skill level - a roll lower than or equal to the skill level succeeds, but a roll of 18 is always a failure, so there appears little benefit in increasing any skill over the level of 17. However, there are at least three aversions to this in the rules:
- Because difficulty modifiers are applied to the skill, a skill above 17 gives a greater chance of success because the effective skill level will still be higher (e.g. if your skill is 20 and the modifier is -3, you have an effective skill of 17, the same as if your skill was 17 and there was no modifier).
- In some circumstances, two characters may make directly opposed skill rolls - in such cases, higher skill is always an advantage.
- Increasing the skill level of any spell above 17 will lead to decreased requirements for casting that spell, which can be useful in difficult circumstances.
- Zig-zagged in Dungeons & Dragons 3.0, 3.5, and Pathfinder.
- Spellcasters were subject to Linear Warriors, Quadratic Wizards, and as such they just got better. However, the math of skill checks and saves broke down so that at high levels, saves meant to challenge characters who were good at the save simply blew away characters who were bad at those saves. Likewise, eating a high-level monster's Full Attack when you were a Squishy Wizard usually made you very, very dead. As a result, at low level, characters could drop to a single unlucky hit or blown save. At mid-level, characters could contend with occasional bad luck and had a host of abilities, leading to them reliably outclassing their enemies. And at high level, Rocket-Tag Gameplay ensues and the nice cushion mid-level characters enjoyed against their enemies was gone. It wasn't that mid-level characters were stronger; they were objectively weaker. However, enemies and spells scaled in such a wonky way that mid-level characters were far less likely to be stomped flat by one attack or one failed save than any other characters.
- The Truenamer in particular got hit with this hard (though it was a class with so many mechanical issues it was nearly unusable). In order to use your magic on someone, you need to beat them with a Truespeak check. Unfortunately, the difficulty of affecting an enemy as it goes up in level increases literally twice as fast as your Truespeak skill. Unless your DM allows custom magic items or other houseruled bonuses, it becomes functionally impossible to use Truespeak on anyone at high levels.