The global dynamics of Pissarides' (1990) equilibrium model of aggregate un
employment are studied in the case of increasing returns to scale in produc
tion and constant returns to scale in the matching process. An equilibrium
is a dynamic path for the aggregate number of matches generated by best-res
ponse search and recruiting investment decisions under rational expectation
s. Necessary and sufficient conditions for multiple equilibria, including l
imit cycles, are derived, and illustrative examples are computed. The appli
cation of saddle-loop bifurcation theory is a novel feature of the analysis
. Since one equilibrium Pareto dominates all the others, a macroeconomic co
ordination problem exists.