"Intersubjectivity" has been used in social science to refer to agreement. There is "intersubjectivity" between people if they agree on a given set of meanings or a definition of the situation (perhaps making a p-individual). Similarly, Thomas Scheff defines "intersubjectivity" as "the sharing of subjective states by two or more individuals."
"Intersubjectivity" also has been used to refer to the common-sense, shared meanings constructed by people in their interactions with each other and used as an everyday resource to interpret the meaning of elements of social and cultural life. If people share common sense, then they share a definition of the situation.
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