A modified version of a finite random field Ising ferromagnetic model
in an external magnetic field at zero temperature is presented to desc
ribe group decision making. Fields may have a non-zero average. A post
ulate of minimum inter-individual conflicts is assumed. Interactions t
hen produce a group polarization along one very choice which is howeve
r randomly selected. A small external social pressure is shown to have
a drastic effect on the polarization. Individual bias related to pers
onal backgrounds, cultural values and past experiences are introduced
via quenched local competing fields. They are shown to be instrumental
in generating a larger spectrum of collective new choices beyond init
ial ones. In particular, compromise is found to result from the existe
nce of individual competing bias. Conflict is shown to weaken group po
larization. The model yields new psychosociological insights about con
sensus and compromise in groups.