We consider an exchange economy in which price rigidities are present.
An always converging price and quantity adjustment process for such a
n economy is presented that is based on a discrete algorithmic procedu
re rather than on more traditional adjustment processes, which are bas
ed on difference or differential equations. In the short run, all non-
numeraire commodities have a flexible price level with respect to the
numeraire commodity but their relative prices are mutually fixed. In t
he long run, prices are assumed to be completely flexible. The adjustm
ent process starts with a trivial equilibrium with a low enough price
level and complete demand rationing on all markets. Along the path fol
lowed by the adjustment process, initially all relative prices of the
non-numeraire commodities are kept fixed and the price level is increa
sed. Rationing schemes are adjusted to keep markets in equilibrium. In
doing so, the process reaches a short-run equilibrium with only deman
d rationing and no rationing on the numeraire and at least one of the
other commodities. In the long run, the process allows for a downward
price adjustment of unrationed non-numeraire commodities and eventuall
y reaches a Walrasian equilibrium.