  The particle-antiparticle asymmetries of $\Lambda$ production in 250 GeV/c
$\pi^{\pm}$, $K^{\pm}$, and $p$ --nucleon collisions are studied with two model
parametrizations of quark to $\Lambda$ fragmentation functions. It is shown
that the available data can be qualitatively explained by the calculated
results in both the quark-diquark model and a pQCD based analysis of
fragmentation functions. The differences in the two model predictions are
significant for $K^{\pm}$ beams, and high precision measurements of the
asymmetries with detailed $x_F$ and $P_T$ information can discriminate between
different predictions.
