  We study the production processes e^+ e^- -> chi^+_i chi^-_j, i,j=1,2, and
e^+ e^- -> chi^0_m chi^0_n, m,n=1,...,4, working out the advantages of
polarizing both beams. For e^+ e^- -> chi^+_1 chi^-_1 with chi^-_1 -> chi^0_1
e^- nu and e^+ e^- -> chi^0_1 chi^0_2 with chi^0_2 -> chi^0_1 e^+ e^- we
perform a detailed analysis, including the complete spin correlations between
production and decay. We analyze the forward--backward asymmetry of the decay
electron for various beam polarizations. We also study polarization asymmetries
in e^+ e^- -> chi^0_1 chi^0_2. These asymmetries strongly constrain the gaugino
parameter M_1 and the masses m_{\tilde{e}_L}, m_{\tilde{e}_R}, m_{\tilde{nu}}
also if m_{\tilde{e}_{L,R}}, m_{\tilde{nu}} > sqrt{s}/2. We give numerical
predictions for three scenarios for a linear collider with sqrt{s}=500-1000
GeV.
