$A$-equilibrium and fuzzy $A$-core in pure exchange model with externalities

In the paper, a concept of $A$-equilibrium being a concretization of “altruistic” Berge equilibrium adapted to the pure exchange economy with externalities, is proposed. In terms of an appropriate fuzzy domination a cooperative characterization of $A$-equilibrium allocations is given, and an analog of the classic core equivalence theorem is established.