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We study the production processes e^+ e^- -> chi^+_i chi^-_j, i,j=1,2, ande^+ e^- -> chi^0_m chi^0_n, m,n=1,...,4, working out the advantages ofpolarizing both beams. For e^+ e^- -> chi^+_1 chi^-_1 with chi^-_1 -> chi^0_1e^- nu and e^+ e^- -> chi^0_1 chi^0_2 with chi^0_2 -> chi^0_1 e^+ e^- weperform a detailed analysis, including the complete spin correlations betweenproduction and decay. We analyze the forward--backward asymmetry of the decayelectron for various beam polarizations. We also study polarization asymmetriesin e^+ e^- -> chi^0_1 chi^0_2. These asymmetries strongly constrain the gauginoparameter 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 numericalpredictions for three scenarios for a linear collider with sqrt{s}=500-1000GeV.Comment: 26 pages, 26 postscript figures, latex using epsfi

Impact of $e^+$ and $e^-$ beam polarization on chargino and neutralino production at a linear collider