A classic representation of a striking instance of non-market allocati
on of a scarce good may be seen in the contention of Ajax and Ulysses
for Achilles' armor (Ovid, Metamorphoses, XII 612-XIII 398). The conte
ntion is viewed through the prism of Jon Elster's recent work, Local j
ustice. How Institutions Allocate Scarce Goods and Necessary Burdens.
A distinctive allocative mechanism is identified: allocation by peer d
emocracy in light of arguments made by rival claimants. It is argued t
hat this mechanism is of current interest, for it closely integrates t
he spheres of democracy and distributive justice. The relations betwee
n argument and allocation are sketched, alternative mechanisms are not
ed, and implications for socialism are suggested.