I always liked this idea, and I a few cryptocurrencies/blockchains tried to do something like it, including Stellar Lumens[1]. Just looked it up to post this and they abandoned it back in 2019.
Unlike the tokens of other blockchains, lumens aren’t mined or awarded by the protocol over time. Instead, 100 billion lumens were created when the Stellar network went live, and for the first 5 or so years of Stellar’s existence, the supply of lumens also increased by 1% annually, by design.
That inflation mechanism was ended by community vote in October 2019. And in November 2019, the overall lumen supply was reduced. Now there are about 50 billion lumens, total, in existence, and no more lumens will be created.
[1] https://stellar.org/learn/lumens