Evolution of Electoral Preferences for a Regime of Three Political Parties

Figure 5

The figure shows a bifurcation diagram for the iterative map ; an alternating sequence of tree-like graphs goes upwards and downwards. Stable fixed points bifurcate in different -cycles for . Stable fixed points bifurcate in a 2-cycle for ; then a cascade of bifurcations appears, leading to chaos, at least in some small regions. The 2-cycle may model a dilemma, since agent’s opinion jumps from one posture to another. Other -cycles may model other doubt processes in agents.