  We compare the Egalitarian Equivalent and the Competitive Equilibrium with
Equal Incomes rules to divide a bundle of goods (heirlooms) or a bundle of bads
(chores).
  For goods the Competitive division fares better, as it is Resource Monotonic,
and makes it harder to strategically misreport preferences. But for bads, the
Competitive rule, unlike the Egalitarian one, is multivalued, harder to
compute, and admits no continuous selection.
  We also provide an axiomatic characterization of the Competitive rule based
on the simple formulation of Maskin Monotonicity under additive utilities.
