The purpose of this paper is to establish the equivalence between the anonymous core and the set of the Walrasian equilibrium allocations in an atomless exchange economy. The anonymous (or, synonymously, incentive-compatible or envy-free) core is the set of those consumption allocations that are...

In a model of a two-period exchange economy under uncertainty, we find an upper bound for the equilibrium risk-free interest rate when the expected aggregate endowment in the second period is no greater than the first-period aggregate endowment. We also find a lower bound when the agents'...