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ChatGPT In Trouble: OpenAI may go bankrupt by 2024, AI bot costs company $700,000 every day
(www.firstpost.com)
This is a most excellent place for technology news and articles.
The feedback loop is already happening, and is called model collapse.
It's not a good thing.
The full suggestion includes "This would allow ChatGPT to learn from its own mistakes", which implies that the text it generated would be evaluated and curated before being sent back into it for training. That, as well as including non-AI-generated text along with the AI generated stuff, should stop model collapse.
Model collapse is basically inbreeding, with similar causes and similar solutions. A little inbreeding is not inherently bad, indeed it's used frequently when you're trying to breed an organism to have specific desirable characteristics.