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Cold Equation

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Contemplating killing people so that others can live longer.
In Science Fiction, the Ur-Example is that of a spaceship or Escape Pod which is Almost Out of Oxygen (or food or fuel). But then someone calculates that if they had one fewer crewmember, they just might make it back safely...
Many incidents of this trope have occurred in real life, such as sailors in lifeboats running out of food or freeboard. These seldom involved any fine calculations, just desperate people willing to do anything to live a bit longer. Those who travel on spaceships are presumed to be a different breed, or perhaps they're just more educated; therefore expect a Lottery of Doom, Drawing Straws or Heroic Sacrifice.
See also The Needs of the Many, Emergency Cargo Dump (the non-lethal version), No Party Like a Donner Party, Cut the Safety Rope, Trial by Friendly Fire, We Have Reserves, and Restricted Rescue Operation. See Someone Has to Die for the voluntary variant of this trope.
Note: Please do not include discussions on the short story "The Cold Equations" or for the novel trilogy Star Trek: Cold Equations here. Post them on the discussion page for those stories.
As this is a Death Trope, unmarked spoilers abound. Beware.
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Narbonic parodies "The Cold Equations" here; when the pilot is Dave and the cute stowaway is Mell, it's not the stowaway who's going out the airlock.
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Princess Bubblegum makes the decision to sacrifice James to distract the zombies so the other three can escape in the Adventure Time episode "James". Comes across as a harsh moment for Bubblegum because she chooses James as the least valuable person to save, rather than him volunteering.
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The nuclear shelter scenario is spoofed in The Simpsons episode "Bart's Comet". A comet is about to strike Springfield and so the entire towns' population tries to cram into Ned Flander's bomb shelter. They somehow manage this, but can't get the door closed. After arguing about who should be sacrificed Homer points out that the one skill future society doesn't need is the ability to sell left-handed products, so Ned gets thrown out of his own shelter. Eventually they all feel guilty about this decision (with Homer ironically inciting the guilt and expressing his contempt for everyone else having agreed with it), and so leave the shelter to die with him. The comet ends up breaking up to small bits in Springfield's toxic atmosphere anyway with the only actual damage it causes is piercing an unmanned hot air balloon which flies out of control...ironically, striking the bomb shelter and destroying it, which rather puts its usefulness against an intact comet in doubt.
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Fallout: Equestria: Of the robotic sort. Littlepip and Co stumble upon the remains of a Stable devoid of life, and perusing the computer reveals why: A stray bullet from a child practicing shooting hit their water supply, slowly leaking its contents over the course of weeks. The AI in charge noticed this, and deduced the most efficient solution to be methodically halving the population to accommodate dwindling supplies until it finally went empty, and the population dropped to zero.
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Paranoia:
One mission includes a Running Gag with malfunctioning elevators to the 99th floor, one of which is airtight and slo-o-o-ow. Sure, the PCs could just use their lasers to ventilate the wall - and face a fine for damaging Computer property - but, this being Paranoia, they're just as likely to instead ventilate the traitors who were using up all the air.
Another mission gives the PCs an ever-expanding authority role over a project driving all of Alpha Complex toward mass starvation. Near the end, someone may notice a politically-discredited but effective device that converts any organic material into food.
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Discussed in Your Turn to Die, as Kanna advocates for her own death through the reasoning that compared to Sou, she is expendable. Ironically, more good comes out of ignoring her request and killing off Sou.
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 Your Turn to Die (Visual Novel)
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In King of the Hill during one of Cotton's war stories. His ship was attacked and was able to rescue Fatty, Stinky, and Brooklyn. A Zero fighter attacked him and he had to sacrifice Fatty to the sharks to swim to safety.
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Quentyn Quinn, Space Ranger devotes an entire arc to tearing into the trope namer. According to the author only an over-regulated state monopoly (and not, say, a corporate lowest bidder) would ever use death traps like the shuttle in the original story. Author's politics aside, no one in their right mind would ever design a shuttle with zero margin for error—and even if some emergency situation did pop up that required such a risk, it shouldn't be happening often enough for legal precedent to require the murder of the stowaway.
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In Background Pony, Lyra is eventually faced with the Sadistic Choice of allowing herself to be forgotten forever, or restoring her existence at the cost of erasing everything she achieved — something that would put the whole world at risk.
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In Super Robot Wars 30, this is one of several types of questions the villain periodically asks Captain Mitsuba throughout the campaign, with the game's ending determined by her decisions. Taking both routes, however, reveals that both options are really just an excuse for the villain to do whatever he wants: either humanity is unable to deal with this trope, in which case it's too foolish to let live, or it can deal with it, which makes it too dangerous to let live.
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Vow of Nudity: In one extended flashback, a slave, a soldier, and a scientist are the sole remaining survivors of a disastrous island expedition, and eventually reach the beach with a makeshift raft that can only carry two of them. With hostile wildlife inbound, the group must quickly choose who gets to escape and who gets left behind to die. (In the end, the soldier kills the scientist, and then the slave kills the soldier.)
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Played for comedy in a season five episode of Archer. When Ray, while piloting the plane he, Archer, and Cyril are on, realizes they won't make it to the runway because there's only enough fuel to carry the weight of two people, Archer attempts to convince Cyril to jump out, but Cyril pitches the shipment of guns they were carrying off the side.
The season four finale sees Archer, Lana, Cyril and Ray trapped in a room quickly filling with water and only three sets of scuba gear to swim out and to the surface. The only option is for one of them to drown and die, hopefully temporarily, while the other three use the scuba suits to get themselves to safety and resuscitate the volunteer. Ray has robot legs, and Cyril is the next best swimmer, so the choice is between Lana and Archer. Archer immediately volunteers after Lana reveals she's pregnant.
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Mass Effect: During the time the Reapers were cleaning up after themselves, the AI Vigil was tasked with keeping an eye on a bunker full of Protheans in stasis, waiting for the Reapers to leave. However, in that time, the bunker's systems began running low on power, forcing Vigil to turn off the life support for the less "essential" personnel. Agreeing with Vigil that this was a necessary move (which it kind of was, since it's only because of that choice Shepard has a chance of stopping the Reapers at all) nets the player a few Renegade points.
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In Mass Effect 3 this trope is discussed by Shepard and Garrus, calling it "the ruthless calculus of war." Shepard is tasked with making many hard decisions in the war with the Reapers, including allowing some planets to fall in order to save others. Shepard invokes this in one of their many speeches:
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In The Transformers: The Movie, the Decepticons' ship is filled with wounded from their failed attack on Autobot City and its weighing down their ship during its escape. Starscream, being Starscream, tells them to dump their wounded, which includes their leader Megatron, on the grounds that they won't make it back to Cybertron anyway. Big mistake: they end up drifting into the direction of Unicron and are turned into his heralds.
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In the first episode of Mighty Ducks: The Animated Series, the Ducks' ship is traveling through dimensional limbo. Unfortunately, the ship is attacked and will be ripped apart unless some weight is jettisoned, and everything onboard is bolted down. Team leader Canard decides to jettison himself. Wildwing tries to stop him, but only manages to save the mask of Drake Dukane Canard wanted to hand him.
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Referenced in the song "Nautical Disaster" by The Tragically Hip.
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In Spider-Man: Into the Spider-Verse, Peter B. Parker, Gwen Stacy, Peni Parker, Spider-Man Noir, and Spider-Ham all come from other universes, and dimensional incompatibilities mean that they cannot survive indefinitely in Miles's universe. They have a way back to their own dimensions in the form of the control goober for the collider, but they also need to destroy it to prevent the multiverse from collapsing, and that has to be done in Miles's dimension. Miles insists that he can handle the job, but because he's only been a superhero for a day at that point, nobody believes him, meaning that the plan ends up being that one of them will send the other four home, then destroy the machine, sacrificing themselves for the multiverse. Naturally, these being superheroes, all five insist that it should be them who stays behind. It ends up not being necessary because Miles takes a level or three in badass just in time for the climax, however.
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Battletech, in the Wars of Reaving Clans Steel Viper, and Star Adder just obtain a great deal of isorla(spoils of war) from fleeing Clan Snow Raven fleet. When they didn't have enough room for all their isorla, they decided to throw out clan civilians out the air lock.
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In an episode of Futurama, this occurs when the Space Titanic is sinking into a black hole. The main characters board an escape pod, but the extra weight of Bender's Girl of the Week is causing the escape pod to drift towards the black hole, so she willingly lets go, saving the other characters. She is, of course, killed by falling into the black hole, and is never heard from (or even mentioned) again.
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Fate/Grand Order:
Mephistopheles puts Jeanne d'Arc in an illusion where she is on a ship that is fleeing a disaster. They run into her mother and Pierre Cauchon, the bishop who had her burned at the stake, but the ship only has room for one more person. Mephistopheles clearly expected her to leave Pierre to die, and this would prove she has darkness in her heart out of a need for revenge. Instead, Jeanne gives up her seat so that both her mother and Pierre can live. Pierre refuses to thank her and calls her a witch. Jeanne merely comments she expected that, and Mephistopheles comments that the real one would react the same way.
In the Camelot Singularity, the Lion King believes the Incineration of Humanity cannot be stopped, so she starts a project called the Holy Selection. She will choose 500 people she deems worthy and absorb them into Rhongomyniad so they can survive. She is emotionless and does not care about everyone else that will die. The heroes end up stopping her.
In the Norse Lostbelt, humanity is barely surviving. Due to lack of resources, people are exiled from villages when they turn 15 (25 if they managed to bear a child), where they will surely be killed by the giants roaming outside.
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If the RNG in 60 Seconds! is particularly unkind, you might have to choose a family member to let die of starvation, dehydration, or illness.
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In Sands of Destruction, a desperate and depressed Kyrie decides that if Naja kills him, Morte and the others will be able to continue to live because he can't destroy the world if he's dead. An interesting case where this trope meets Heroic Sacrifice.
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This is the dark side of Doctor Strange's history manipulating methodology in Child of the Storm, with the end goal of stopping Thanos' omnicidal rampage. Generally, he's good enough at manipulating the timeline that this isn't necessary. At times, though, it's explicitly compared to triage, and at points it is also explicitly noted that by refusing to step in, he lets a lot of people suffer and die for the sake of ensuring the Earth will be ready.
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Star Trek: The Animated Series faces this in the episode One Of Our Planets Is Missing.The alien of the week is a literal planet eater who has already demonstrated its capacity, and it is heading straight for a populated planet. There aren't enough ships (or time, for that matter) to evacuate everyone, so the planet's leader opts for saving the children.The population of the planet cooperates readily with the decision once they know what is happening.
In the same episode, Kirk makes a similar choice - there is a chance of stopping the Planet Eater and saving the doomed planet...but only by flying the Enterprise right into the creature and triggering self-destruct. Fortunately, it turned out that the monster in question was Obliviously Evil, and once convinced by Spock that the planets it is eating has living beings along, chooses to back off.
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In When Reason Fails, when Izuku expresses his dislike of Yagi not being willing to help Tsuyu adapt to life among humans, the teacher points out that, yes, he could do that - but, apart from the fact that Tsuyu may actually not want said help, the time and resources spent helping her would be time and resources not spent in helping many other people.
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In Swan Song, part of the Roll Play series of Dungeons & Dragons livestreamed shows, this is the core of the plot of the 8th "episode" or week. After a couple of botched jumps on already-low life support by the ship's navigator, the crew math-out that they have significantly fewer person-days of life support than they need for their five-man ship. The doctor of the ship has to put first their escorted passenger, then the rest of the crew bar the navigator, including himself, into a risky experimental coma to preserve the little remaining life support (cutting resource usage into a tenth). Piling on the problem, they are also low on fuel with their method of manual fuel extraction destroyed, so they discuss and realize that their only option is to go to a modern-day-era tech-level system and hope they can refuel on the desolate refueling station until they find a higher-tech system that offers a way to resuscitate the comatose crew... assuming they can even be put into a coma with the combination of space-morphine and dice rolls. Miraculously, they do... but the navigator then realizes that while he made it to the system, he doesn't have the life support to fly to a fuel station and must instead crash-land onto the only inhabited planet.
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Yu-Gi-Oh!: The art for Painful Decision shows Ojama Yellow as a lifeguard trying to decide who to save when Ojama Green and Ojama Black are both being chased by a shark.
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No matter what his or her status, you always have the option to just up and kill a party member in Organ Trail. Of course you'll inevitably have to kill a member who's been bitten, but you can also choose to kill a perfectly healthy member just to have one less person to divide your limited food and medical supplies with. They'll come back as an enemy toward the end of the game if you do though, you monster.
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Danganronpa Re:Programmed has one of the culprits convinced to commit murder through this line of logic: while they aren't keen to kill anyone, the idea that they may be able to retrieve help for the rest is enough to sway them, however reluctantly, towards making that sacrifice.
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The following is a list of statements referring to the current page from other pages.

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Death Tropes
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Older Than Television
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Speculative Fiction Tropes
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Cold Equation
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 Rise Of The Steel Phoenix (Fanfic) / int_1ce428b5
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 Triangle Of Moons My Little Pony (Fanfic) / int_1ce428b5
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 Vow of Nudity (Fanfic) / int_1ce428b5
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 Abbott And Costello Go To Mars / int_1ce428b5
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 I, Robot / int_1ce428b5
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 It! The Terror from Beyond Space / int_1ce428b5
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 Rocky and Bullwinkle
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type
Cold Equation
 The Ice Road / int_1ce428b5
type
Cold Equation
 The Imitation Game / int_1ce428b5
type
Cold Equation
 The Last Days on Mars / int_1ce428b5
type
Cold Equation
 The Martian / int_1ce428b5
type
Cold Equation
 The Meg / int_1ce428b5
type
Cold Equation
 3 Godfathers / int_1ce428b5
type
Cold Equation
 Underwater / int_1ce428b5
type
Cold Equation
 When Worlds Collide / int_1ce428b5
type
Cold Equation
 Woman in the Moon / int_1ce428b5
type
Cold Equation
 Chakona Space / int_1ce428b5
type
Cold Equation
 Down to a Sunless Sea / int_1ce428b5
type
Cold Equation
 Hansel and Gretel / int_1ce428b5
type
Cold Equation
 633 Squadron / int_1ce428b5
type
Cold Equation
 Snuff / int_1ce428b5
type
Cold Equation
 Star Trek Discovery Drastic Measures / int_1ce428b5
type
Cold Equation
 Sten / int_1ce428b5
type
Cold Equation
 The Broken Earth Trilogy / int_1ce428b5
type
Cold Equation
 The Cold Equations / int_1ce428b5
type
Cold Equation
 The Last Hero / int_1ce428b5
type
Cold Equation
 The Martian / int_1ce428b5
type
Cold Equation
 The Obelisk Gate / int_1ce428b5
type
Cold Equation
 The Scholomance / int_1ce428b5
type
Cold Equation
 The World of Ice & Fire / int_1ce428b5
type
Cold Equation
 Thief of Time / int_1ce428b5
type
Cold Equation
 Venus Prime / int_1ce428b5
type
Cold Equation
 World War Z / int_1ce428b5
type
Cold Equation
 Captain Harlock (Manga) / int_1ce428b5
type
Cold Equation
 Planetes (Manga) / int_1ce428b5
type
Cold Equation
 Parties Are for Losers (Music) / int_1ce428b5
type
Cold Equation
 Rollplay (Podcast) / int_1ce428b5
type
Cold Equation
 Class Trials Season 6 (Roleplay) / int_1ce428b5
type
Cold Equation
 Blake's 7 / int_1ce428b5
type
Cold Equation
 CSI: Miami / int_1ce428b5
type
Cold Equation
 Come Back Mrs. Noah / int_1ce428b5
type
Cold Equation
 For All Mankind / int_1ce428b5
type
Cold Equation
 Lexx / int_1ce428b5
type
Cold Equation
 Lost in Space (2018) / int_1ce428b5
type
Cold Equation
 MacGyver (2016) / int_1ce428b5
type
Cold Equation
 The 100 / int_1ce428b5
type
Cold Equation
 The Ark (2023) / int_1ce428b5
type
Cold Equation
 The Last of Us (2023) / int_1ce428b5
type
Cold Equation
 The War of the Worlds (2019) / int_1ce428b5
type
Cold Equation
 Utopia / int_1ce428b5
type
Cold Equation
 The Hammer Trinity (Theatre) / int_1ce428b5
type
Cold Equation
 Dead State (Video Game) / int_1ce428b5
type
Cold Equation
 Endoparasitic (Video Game) / int_1ce428b5
type
Cold Equation
 Homeworld (Video Game) / int_1ce428b5
type
Cold Equation
 Sands of Destruction (Video Game) / int_1ce428b5
type
Cold Equation
 Nine Hours, Nine Persons, Nine Doors (Visual Novel) / int_1ce428b5
type
Cold Equation
 Animated Spellbook (Web Animation) / int_1ce428b5
type
Cold Equation
 Brony D&D (Web Video) / int_1ce428b5
type
Cold Equation
 Spider-Man: Into the Spider-Verse / int_1ce428b5
type
Cold Equation
 The Great Mouse Detective / int_1ce428b5
type
Cold Equation