We present first results obtained with a polarized version of the PYTH
IA code, describing high-energy polarized hadron-hadron reactions. Suc
h reactions are of great theoretical and experimental interest, as the
y give additional information on the internal spin structure of the ha
drons, complementary to what can be obtained from polarized lepton-nuc
leon scattering. Experiments of this kind are under consideration both
for the fixed target and for the collider mode. We demonstrate that c
orrections like e.g. showering influence the obtained asymmetries and
enter the theoretical analyses necessary to deduce physically interest
ing quantities from the data. We also discuss the dominant background
mechanisms, namely pion decay. We conclude that to determine the physi
cs one can deduce from any kind of experimental setup a full-fledged n
umerical simulation is needed, towards which our present code is the f
irst step.