We characterize the Pareto correspondence, the core and the Walras sol
ution using the axioms of consistency, converse consistency and one-pe
rson rationality, Consistency and its converse are defined with respec
t to suitably constructed reduced economies for each case. Our results
hold for the well-known class of coalitional production economies, wh
ich covers exchange economies as a particular case. The key reason to
use this class is the observation that the reduction of an exchange ec
onomy yields a production economy. (C) 1998 Elsevier Science S.A. All
rights reserved.