[MENTION=7280]Lark[/MENTION] seems pretty well read on these theories, kind of hoping he can provide a much better definition than I could
Mutualism is described by some of its advocates as "uncapitalist" rather than "anti-capitalist". Proudhon (the main advocate of mutualism) thought that free or cheap credit, from credit unions rather than banks, maybe some other forms of micro finance were essential. This would make everyone practically "self-employed" every producer, or group of producers, would own the enterprise that they were working within (instead of working for). All earnings would be in the form of business profit/share dividend, therefore "wages", "rents", "interest" would be abolished. Its basically a form of market socialism but there are a lot of different varieties of market socialism.
Some radicals who think the market can be abolished or dispensed with altogether without surviving, reviving or being reproduced in some shape or form will consider a mixed economy as a variety of market socialism. Its not. Market "socialisms" would only consider a mixed economy a matter of expediency or pragmatism and favour forms of privatization as much as other supporters of markets. I think the principle market socialist was called John Roemer who had some interesting ideas, similar to mutualism, but they are usually pretty complex. Every citizen controlling the economy through share portfolios, the benefits system AND wages replaced by share/dividend income. The circulation of money in the economy happens as at present but the whole process is private, no politicians involved or exercising influence.
The ideas are interesting, although pretty convoluted/complex, involving some shares which are tradeable but not saleable, so individuals, and combinations of individuals, can determine public investment priorities by prioritizing education, policing, health, army, navy, airforce, in their portfolios, some schemes have annual or biannual points at which portfolio's would be "reset". I cant remember how the income part of the portfolio (which replaces wages, benefits etc.) works but it was something closer to the Alaskan or Scandinavian Oil Trust funds than it was like a UBI.
Market Socialism and Mutualism are closer to anarchism than other sorts of socialism because the idea of "whithering away of the state" matters/is practical as a policy, there's no "tax and spend" or "management" of the economy by politicians. In those respects its akin to some schools of neo-liberalism. At least they graze in the same pastures. JS Mill would have liked those ideas, in his essay on socialism in which he is pretty keen on a version of socialism based on co-operative banks, co-operative shops and producers co-ops he said whether the economy was capitalist or socialist the role of the state should be the same. Mills' idea of the economy is, capitalism or socialism, its private (meaning "voluntary"). I'm very keen on this idea too but I think UBI, and a couple of other similar policies, is/are the missing pieces of the puzzle.
NB: Mutualism and Proudhon largely predate the "managerial revolution", owners of enterprises where generally managers, there where no "sleeping partners" or hedge funds or fund managers or anything like the role of finance that there is today (at least in the anglosphere), Proudhon could see the beginnings of that and it was what he criticized when he attacked "capitalism". Its something to keep in mind too that socialism, largely all of it, predates personal credit, none of them could have anticipated credit cards, multiple credit cards, easy credit as it exists today or anything at all such as sub prime loans and the sub prime bubble and financial crisis. That's before you consider technology innovations even. Like mobile phones. Or automation and AI like it is today. There definitely wasnt a "leisure class", "leisure pursuits", "leisure time" and none of those things were sources of business revenue like they are today.
Also consider the extent to which Mutualism and market socialism have so little to say about equality, that old bogeyman, original socialism didnt care about equality that much at all, Marx and Engels definitely thought it was stupid, even for propaganda purposes. It was instead about a "classless society" which was about defeating the ways in which "class status" or "old money" could control the economy, render everyone servile through poverty etc. None of them would recognize the "egalitarianism" of modern socialism, they'd even less recognize the whole homogenizing, androgyny craving, equality as sameness trends/neurosis.