The aim of this paper is to examine the non-cooperative basis of the c
ore. We provide mechanisms that are motivated closely by the very desc
ription of the core, and have the property that their non-cooperative
equilibrium outcomes coincide with the core. For general economic envi
ronments we construct an extensive form mechanism in which each player
proposes a status-quo and then also has an opportunity to recontract
with any other coalition. A proposal to recontract is enforced if and
only if it meets with the unanimous approval of such a coalition. We s
how that subgame perfect outcomes of this mechanism coincide with the
core allocations of the underlying economy. We also consider situation
s, such as labor managed firms, in which the mechanism designer does n
ot know the set of feasible allocations but can observe the output (ut
ility).