A policy of deliberate ambiguity (also known as a policy of strategic ambiguity, strategic uncertainty) is the practice by a country of being intentionally ambiguous on certain aspects of its foreign policy or whether it possesses certain weapons of mass destruction. It may be useful if the country has contrary foreign and domestic policy goals or if it wants to take advantage of risk aversion to abet a deterrence strategy. Such a policy can be very risky as it may cause misinterpretation of a nation's intentions, leading to actions that contradict that nation's wishes.
After West Germany gave up its "Hallstein Doctrine" of ending diplomatic relations with any country recognizing East Germany (thus implicitly following a "one Germany policy"), West Germany turned to a policy of de facto recognizing East Germany in the 1970s, despite still maintaining several policies in accordance with the legal fiction of there being only one Germany.
East German citizens were for instance treated as (West) German citizens upon arrival in West Germany, and exports to East Germany were treated as if they were domestic trade. That created a deliberately ambiguous policy that reconciled the demand by the rest of the world for West Germany to acknowledge the existence of East Germany and the desire by the vast majority of West German politicians to avoid recognising German partition as permanent.
Eisenberg, Eric M (2007), Strategic ambiguities: Essays on communication, organization, and identity, Thousand Oaks, CA: Sage.