Template-Type: ReDIF-Paper 1.0 Title: Rational vs. Irrational Beliefs in a Complex World Author-Name: Gregor Boehl Author-Email: gboehl@uni-bonn.de Author-Name: Cars Hommes Author-Email: ch.hommes@uva.nl Classification-JEL: C63, E03, E32, E44, E51 Keywords: Heterogeneous agents, trend-extrapolation, bubbles, numerical solution method Abstract: Can boundedly rational agents survive competition with fully rational agents? We develop a highly nonlinear heterogeneous agents model with rational forward looking versus boundedly rational back- ward looking agents and evolving market shares depending on their relative performance. Our novel numerical solution method detects equilibrium paths characterized by complex bubble and crash dy- namics. Boundedly rational trend-extrapolators amplify small deviations from fundamentals, while rational agents anticipate market crashes after large bubbles and drive prices back close to fundamen- tal value. Overall rational and non-rational beliefs co-evolve over time, with time-varying impact, and their interaction produces complex endogenous bubble and crashes, without any exogenous shocks. Note: Length: 43 Creation-Date: 2021-04 Revision-Date: File-URL: https://www.crctr224.de/research/discussion-papers/archive/dp287 File-Format: application/pdf Handle: RePEc:bon:boncrc:CRCTR224_2021_287