In this paper we study linear production processes. The maximal profit that
can be made has to be divided among the agents in a "fair" way. G. Owen (1
975, Math. Programming 9, 358-370) assigned to every linear production proc
ess a cooperative game, a "linear production game," and introduced a method
to find a subset of the core of linear production games, which we call the
"Owen set." In the first part of the paper we give an axiomatic characteri
zation of the Owen set. In the second part we study the relation between th
e "shuffle" property (one of the axioms) and the core of the corresponding
linear production game. Journal of Economic Literature Classification Numbe
r: C71. (C) 2000 Academic Press.