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Fig. 2. Two-dimensional bifurcation diagram w.r.t. the intensity of choice � and d�. The dotted linerepresents a period-doubling bifurcation of the 2-cycle, the striped line a Hopf bifurcation of the2-cycle, and the solid lines a saddle-node, or fold bifurcation of a 4-cycle.
Fig. 3. The four cases for the unstable manifold of the steady state for a high �, in the case ofa quadratic cost function or linear supply curve.
Fig. 4. The bifurcation scenario for linear supply and demand. (a) The vertical axis represents thebifurcation parameter, the intensity of choice� �, and the horizontal axes represents the state variable,the price p, of the attractor of the ARE system
Fig. 5. The bifurcation scenario for symmetric non-linear demand. (a) Hopf bifurcation followed bysingle saddle-node bifurcation leading to four 4-cycles
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