  Social dynamics determined by voting in a stochastic environment is analyzed
for a society composed of two cohesive groups of similar size. Within the model
of random walks determined by voting, explicit formulas are derived for the
capital increments of the groups against the parameters of the environment and
"claim thresholds" of the groups. The "unanimous acceptance" and "unanimous
rejection" group rules are considered as the voting procedures. Claim
thresholds are evaluated that are most beneficial to the participants of the
groups and to the society as a whole.
