  We extend a sociophysics model of two-group conflict dynamics to three
groups. The model with attractors and chaos is proposed as a tool for exploring
and managing intractable conflicts. It can be used to generate scenarios of
trajectories and outcomes. We use mean-field theory for long-range interactions
to study the time dependence of the three grousp' mean attitudes. We find that
at some intermediate temperatures the group mean attitudes oscillate in time.
Independent of initial conditions, trajectories converge overtime to an
attractor in the three-dimensional space of mean attitudes. We use Monte Carlo
simulations to explore short-range group interactions and find chaotic
unpredictable time variation of attitudes at high temperatures. For
illustrative purposes we apply the model to the Bosnia and Herze-govina
conflict.
