This document discusses exploring the global financial system as a complex adaptive system to better understand investment patterns in climate finance. It aims to map the network of actors and projects in energy efficiency investments from 2000-2017. Initial results show utilities and service companies are leading investors, with utilities and governments acting as hubs. Cross-border flows are increasing. The network evolution depends on existing investments and technologies' attractiveness, with some technologies attracting further funding due to prior investments and others due to their inherent qualities. Critical interventions include actor-specific policies and stimulating public sector involvement to spur green investments.