The seminal contribution of Debreu-Scarf (1963) connects the two concepts of core and competitive equilibrium in exchange economies. In effect, their core-equilibrium equivalence result states that, when the set of economic agents is replicated, the set of core allocations of the replica economy...

Dynamic exchange economies with uncertainty are considered in which information is released over infinite time. The strong sequential core of such an economy consists of those consumption processes where no coalition of agents wishes to deviate at any moment for the rest of time. Comparable to...