In a general equilibrium model, we allow for households with several, typic
ally heterogeneous, members; households that make (efficient) collective co
nsumption decisions where different households may use different collective
decision mechanisms; yet households that operate within a competitive mark
et environment. The interaction of two allocation mechanisms, collective de
cisions and competitive markets, is investigated, with a focus on the effic
iency properties and decentralization possibilities of the dual allocation
mechanism.