Not market-based; often specifically lacking the openness of a free market(adjective)
That which is not a market.(noun)
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Use "nonmarket" in a sentence
"The Bush administration also reversed a two-decade-old policy in March 2007 that prevented U.S. companies from seeking protection against unfair government subsidies of goods produced in "nonmarket" -- usually Communist -- countries."
"At issue in the case against China was whether it was appropriate to impose "countervailing duties" against countries still classified as nonmarket economies under U.S. trade law."
"To be sure, this deceleration has probably been exaggerated by a sharp decline in the so-called nonmarket component of PCE prices, which tends not to be a reliable indicator of inflation trends."