Using statistics and models is unfair in chess. Probability doesn't play out many times.
Checking if Elo system is oppressive [With proofs]

@Jindagara please combine your messages into a single post. Read my posts above, my usage of ChatGPT wasn't about pulling some made up data from the language model. Actual calculations happened in a real program.

@llama_l
First mistake is to assume that everyone's rating is already somehow magically "established". We can't start from that assumption.
In general it seems like you've tried to solve non-existing problem. Here on chess.com we don't start at 1500. We start at 200 or 400, but in my example (Blitz), I'm testing 200 as starting rating and 100 as floor. Did you have floor by the way?
Also here when paired, rating difference is usually much closer than 200

That was the whole point of simulation. To start from scratch and see if the rating system works without having to blindly trust that it works or worked at some point. But if you build your simulation on an assumption that system works in order to prove that system works that doesn't make any sense, that's not even a test.

It does matter as many players of lower skill range hit the rating floor many times, causing inflation for others and high rating-skill difference for many.

You keep talking about ChatGPT as if it was just a language model. Update your knowledge about it. Simulation was real (and that " put a bunch of people starting at 200 with a random amount of actual skill in a real simulatio" is exactly what I did)

That's not a proper way to discuss any topics. Reported.

@llama_l
First mistake is to assume that everyone's rating is already somehow magically "established". We can't start from that assumption.
In general it seems like you've tried to solve non-existing problem. Here on chess.com we don't start at 1500. We start at 200 or 400, but in my example (Blitz), I'm testing 200 as starting rating and 100 as floor. Did you have floor by the way?
Also here when paired, rating difference is usually much closer than 200
Your input info is correct, but you can't use chatGPT to run it. ChatGPT gets better and better. Also, why would you say elo is oppressive. Are you saying that you and a 2000 on chess.com are the same skill, but the elo system is working against you, making sure you don't succeed, and getting good is nothing but a joke and all Grandmasters are lazy?

Also, if you did an actual experiment, you would get a bell curve in your histogram. If you look at the actual placement of chess.com ratings, you would realize they are just a skewed right bell curve. Describing the data accurately doesn't matter if the data is wrong. Compare your rating distribution to an actual rating distribution(go to rapid stats, global), mean rating is 620, and you'll see your model is terribly innaccurate/
ChatGPT is evolving. Free version can't do much, sure, but most advanced runs analysis, you need to wait for a while and it returns with graphs and tables
What's the chance that those graphs and tables are just completely made up random nonsense?
ChatGPT is a language model, not a statistical tool.
I've already explained that in this topic. Most advanced ChatGPT version writes the code (and you are free to examine it), runs it on actual cloud machine and copies result of real program execution (tables, graphs) into the chat with the user. So that data is not generated by language model. Older versions of ChatGPT used to rely on language model only, true. But it evolved.
P.S. You can also copy the code into your computer, ChatGPT would explain how to run it, what to install, will make adjustments to the code for you if you want to change something etc.