Varieties of quasi-one-dimensional halogen ͑X͒-bridged transition-metal ͑M͒ complexes, ͑C 8 H 6 N 4 ͒ ϫ͓Pt͑C 2 H 8 N 2 ͒X͔ 2 X͑ClO 4 ͒ 3 ·H 2 O ͑X =Br,Cl͒ and ͑C 10 H 8 N 2 ͓͒Pt͑C 4 H 13 N 3 ͒Br͔ 2 Br 4 ·2H 2 O, comprising two-leg ladders of mixed-valent platinum ions, are described in terms of a multiband extended Peierls-Hubbard Hamiltonian. The polarized optical-conductivity spectra are theoretically reproduced, and the ground-state valence distributions are reasonably determined. The latter variety, whose interchain valence arrangement is out of phase, is reminiscent of conventional MX single-chain compounds, while the former variety, whose interchain valence arrangement is in phase, reveals itself as a d-p--hybridized multiband ladder material.