I read this story in Russian in 1990s. It was a translated story. The name of the author escapes me, but I have a vague feeling it was some Anglophone or Hispanic name. The story is essentially about Earth (or possibly an Earth colony on another planet) being so scarce of resources that all kids reaching 10 years of age are mandated to battle each other in a series of gladiator fights in an effort to reduce the population. Winners get to live, losers die or return to their families maimed (I have zero idea how these disabled kids are supposed to ease the burden on scarce resources, but here we are). The fights are broadcast by the local TV. Richer families can equip their children with better gladiator gear so they win more often.
I tried asking Russian communities about this story several times, but no one remembered it. I tried searching Soviet sci-fi story collections as the story was published as part of a collection, also without success.
I remember 2 more stories from this collection, though they are unlikely to be of any help as their authors were from the Eastern bloc (East Germany? Poland? Czechoslovakia?) and do not have any connection to the story in question. But in case more info is better than less info, the first one was about a mysterious car racer who always won his races but never appeared for an interview and was not seen by anyone. The main character once spotted the racer's assistants carefully measuring the turns of a speedway where the next race was to take place. After an investigation it was revealed that the ever-winning driver was a robot, and the assistants were collecting data for it. The second one was about a young girl athlete who failed her running competition. When her coach went to talk to her about it, he found her in tears because another coach threw away her teddy bear berating her for having an emotional attachment to it.