Complex Systems

Schizophrenic Representative Investors Download PDF

Philip Z. Maymin
NYU-Polytechnic Institute
Six MetroTech Center
Brooklyn, NY 11201
philip@maymin.com

Abstract

Representative investors whose behavior is modeled by a deterministic finite automaton generate complexity both in the time series of each asset and in the cross-sectional correlation when the rule governing their behavior is schizophrenic, meaning the investor holds multiple seemingly contradictory beliefs simultaneously, either by switching between two different rules at each time step, or computing different responses to different assets.