I2

Consider a pure exchange economy & = ({w', [chew) with 7 = {1, 2} and L goods. Let & be the 2-fold replica of this economy. (ii) s] Let > be weakly monotonic, strictly convex, and continuous Vie H. Prove or provide a counterexample to the following statement: core(82) = core(8) (iii) , s] Consider as in (ii), prove that if r ( core(&2), then r is an equal treatment allocation, i.e. all = x", VieH.l