H. Schulz-Baldes Perturbation theory for Lyapunov exponents of an Anderson model on a strip (1822K, Postscript) ABSTRACT. It is proven that the localization length of an Anderson model on a strip of width $L$ is bounded above by $L/\lambda^2$ for small values of the coupling constant $\lambda$ of the disordered potential. For this purpose, a new formalism is developed in order to calculate the bottom Lyapunov exponent associated with random products of large symplectic matrices perturbatively in the coupling constant of the randomness.