We introduce agents heterogeneity into a model of endogenous business cycles, in which agents can invest either in "good" projects that contribute to future capital formation, or in "bad" projects without that property. The resulting map involves three distinct regimes, two of which we linearize. Using theoretical results on piecewise linear systems and on border collision bifurcations we are able to provide acomprehensive analysis of the dynamics
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Spiros Bougheas, Pasquale Commendatore, Laura Gardini and Ingrid Kubin
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Sir Clive Granger BuildingUniversity of NottinghamUniversity Park Nottingham, NG7 2RD
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