Within the framework of a simple model, we study single-spin asymmetries fo
r pion production in hadron-hadron collisions at high energies with one had
ron polarized. The asymmetries are generated via a mechanism of final- (ini
tial-) state interactions. For peripheral kinematics, rye find nonzero asym
metries at the high-energy limit when the pion belongs to the fragmentation
region of the polarized proton. Numerical results and comparison with exis
ting experimental data are presented. We also discuss the relationship with
Odderon exchange phenomenology.