The 3080 released for $800 USD in Jan 2021 which one calculator[1] says is $905 USD with inflation. So a 4080 is $900. At least they are consistent.
edit: 3080 12 GB, that is. The original 3080 was $700 USD in Sep 2020 which is $800 in 2022. So the base 4080 is priced above that.
They're competing against an over-bloated secondhand market, AMD, Intel, much better integrated GPUs
For the 4080/4090 pricing, the only competition is AMD.
Just glancing at some benchmarks, the Intel ARC A380 is worse than a GTX 1650[2] and the best integrated graphics I know of is the Ryzen 7 5700G which is worse than a 1050[3]. I don't see why these would affect 4080/4090 pricing at all.
1. https://www.bls.gov/data/inflation_calculator.htm
2. https://www.pcgamer.com/official-intel-arc-380-benchmarks/
3. https://www.tomshardware.com/reviews/amd-ryzen-7-5700g-revie...