45 lines
3.1 KiB
Text
45 lines
3.1 KiB
Text
---
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title: Mehbark’s First Law
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description:
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Any curve will leave someone disappointed.
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A 1% curve will disappoint people 2% short of their desired grade, and a 10% curve will disappoint people 11% short of their desired grade.
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Even a 100% curve will disappoint some people because every score is now meaninglessly high.
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tags: post,short,law
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date: 2026-05-26 23:02:29 -4
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updated: 2026-05-31T12:45:18-04:00
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---
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export const gpa = <abbr title="Grade Point Average">GPA</abbr>;
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export const evs = <abbr title="Effort Values">EVs</abbr>;
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<p>{props.description}</p>
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## Why
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[Non-linear consequences](https://www.youtube.com/watch?v=a7anye0FwcY).
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Point thresholds matter a lot in academics; the obvious example is {gpa}.
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For the grading scale that determines {gpa}, shown below, the only points that make a difference are 60, 70, 80, and 90.
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<iframe src="https://www.desmos.com/calculator/1gnsgvqw3a?embed" title="Graph showing a piecewise function that only increases at 60, 70, 80, and 90. The derivative everywhere else is zero." class="desmos" width="500" height="500" style={{border: "1px solid #ccc"}} frameBorder="0"></iframe>
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Only getting to the next “step” is valuable, so being just below is frustrating—*even if you were farther away before your grade was curved*.
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Objective outcomes aside, a high B feels worse than a low A even though we know they can be arbitrarily close.
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Height perception functions the same way.
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6′0″ is not a milestone in centimeters (182.88), and 180cm is not a milestone in feet (≈5′11″).
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In an alternate history where the meter was different (maybe a different Earth circumference), more or fewer people would meet that threshold.
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## More examples
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Grades are the most obvious example (hence the use of the word “curve”), but anywhere there are breakpoints, this effect might apply.
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A <span class="work-title">Slay the Spire 2</span> player [suggested](https://old.reddit.com/r/slaythespire/comments/1tnjfjp/just_let_me_sell_potions_at_the_shop/)
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that it should be possible to sell potions at shops.
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Being a few gold short of a valuable purchase is frustrating and often not strategically interesting (gold rewards are random within a range),
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but this proposed solution would create situations where you are just shy even after selling your potions.
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<abbr title="Automated Ball-Strike">ABS</abbr> challenges, added in the 2026 <abbr title="Major League Baseball">MaLB</abbr> season, can have a major impact on the game, so fans are understandably upset when an <abbr title="Uolkien molkien polkien">Ump</abbr>’s beneficial call is overturned because the ball was barely within or without the strike zone.
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It has been suggested that some percentage of the ball, say 15%, should have to be in the strike zone for it to count as a strike.
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Again, this would just create a new zone that the ball could be barely within or without.
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Competitive Pokémon has a truly staggering number of relevant breakpoints.
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Investing {evs} in a stat lets you survive, kill, or outspeed more often, but it is always at the cost of another stat, which means giving up surviving, killing, or outspeeding in other situations.
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