Sounds like it would make for an interesting social experiment, but it's not exactly viable for a decentralized ledger (who verifies the ledger? who prevents the ledger from being manipulated? who determines who verifies the ledger? how do you make sure that people don't assume multiple identities? etc).
One may even argue that you basically just described capitalism: Distributing currency to people that offer services that is deemed valuable by
society corporations and paying them according to what the public, ie. the market, decides.
So, if we also consider, following the modern trends, that the tasks can be distributed as different blockchains, or sidechains, or each particular set of task to be a blockchain, or each particular performer has a related blockchain, then it would be like a blockhain network, where each blockchain will be functioning according to its own speed.
Who or what would maintain these blockchains? Anything digital and you're back at PoW, PoS, PoX...