Two honest traders can both want a deal and still be unable to reach one

Roger Myerson and Mark Satterthwaite proved in 1983 that when a buyer and a seller each privately know their own value for a good, no trading mechanism can simultaneously be efficient, voluntary, and need no outside subsidy. Even when a mutually beneficial sale clearly exists somewhere in the gap between what each would accept, hidden information alone can doom every fair way of striking it.

— Roger B. Myerson and Mark A. Satterthwaite, Efficient Mechanisms for Bilateral Trading — Journal of Economic Theory, 1983

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