Anarchism, not anarchy. It’s the left wing variety of Libertarian (although the term Libertarian was originally synonymous with anarchism). So ideologies like Syndicalism, Distributism, Georgism, Mutualism, and some forms of Communalism are Anarchist in the economic sense as they don’t rely on an authoritarian state owned economic system. This is why I get annoyed when people equate capitalism with free market and socialism with state-ownership when that’s actually the authoritarian-anarchist axis. Many anarchist ideologies like Mutualism have a free commodity market, but disallow a capital market.