We study the Mas-Colell bargaining set of an exchange economy with differen
tial information and a continuum of traders. We established the equivalence
of the private bargaining set and the set of Radner competitive equilibriu
m allocations. As for the weak fine bargaining set, we show that it contain
s the set of competitive equilibrium allocations of an associated symmetric
information economy in which each trader has the "joint information" of al
l the traders in the original economy, but unlike the weak fine core and th
e set of fine value allocations, it may also contain allocations which are
not competitive in the associated economy.