The Lorenz-Pareto optimal frontier of a collective choice problem iden
tifies a subset of all Pareto optimal outcomes which are not inegalita
rian according to the Lorenz criterion. An inequality averse choice fu
nction must thus be Lorenz-Pareto optimal in the sense that it should
never 'choose' an outcome outside the Lorenz-Pareto frontier of any ch
oice problem. We study the basic properties of the Lorenz-Pareto optim
al choice functions and, in particular, obtain necessary and sufficien
t conditions for rationalizability and representability of such choice
functions. Several applications to the theory of Nash bargaining are
also outlined. (C) 1998 Elsevier Science S.A. All rights reserved.