A detailed comparison is made of several local-composition lattice mod
els. The models considered include several popular activity coefficien
t models: the Wilson equation, Guggenheim's quasichemical theory (GQC)
, the nonrandom two-liquid theory (NRTL), and the universal quasichemi
cal (UNIQUAC) theory. Also considered are three recently developed lat
tice models: the Born-Green-Yvon (BGY) model, the nonrandom surface fr
action (NRSF) model, and the Aranovich-Donohue (AD) model. Similaritie
s and differences in the assumptions regarding the local compositions
are examined. Detailed comparisons are made for both symmetric and asy
mmetric monomer mixtures as well as for polymer/solvent mixtures with
Monte Carlo simulations.