The economy consists of two consumers, A and B. Both consumers are endowed with one unit of good 1 and one unit of good 2. Consumer A is entirely indifferent between all consumption plans. Consumer B has the utility function u(xB1 ; xB2 ) = xB1 xB2 .
(i) Find a competitive equilibrium for this economy. (Hint: guess an equilibrium price and then check that it works.)
(ii) Find a second competitive equilibrium (different from the one you found in part (i)).
(iii) Show that the equilibrium is not efficient.