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Nonsense. There are things where the pricing mechanism of allowing free enterprise allow us to search for and converge to an optimum. There are other things where information asymmetry, problem opacity, and transaction costs mean that it's better handled a different way. It isn't an ideological problem. You'll see this choice in places like companies, where people band together to solve a problem rather than invoicin…
Non-capitalist but still market-based systems are possible. You can have worker ownership (worker co-ops like Bob's Red Mill), consumer ownership (consumer co-ops like REI), state ownership (national healthcare or municipal utility companies), or some mix of them. These organizations can and often do still compete with each other on the market.