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Dresden 2017 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 18: Economic Models II

SOE 18.3: Vortrag

Donnerstag, 23. März 2017, 15:30–15:45, GÖR 226

Explosive Transitions and Hysteresis in Economically Driven Percolation — •Malte Schröder1, Marc Timme1,2, and Dirk Witthaut3,41Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen — 2Department of Physics, Technical University of Darmstadt, 64289 Darmstadt — 3Forschungszentrum Jülich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE), 52428 Jülich — 4Institute for Theoretical Physics, University of Cologne, 50937 Köln

The evolution of connectivity fundamentally underlies the function of many networked systems, with particular impact in social and economic networks. Standard percolation models describe how globally connected structures emerge when new local connections are formed based on random processes. In most social and economic systems, however, connections are established deliberately by the individuals in the network and are thus inherently not random. Here, we study network percolation for links established on the basis of economic decisions. We show that the underlying, global optimization problems can be mapped exactly to a local percolation problem that allows an efficient solutions. This new class of non-random percolation processes exhibits parametric changes from continuous to discontinuous features akin to explosive percolation transitions as well as hysteresis precisely because link addition is not random but directly driven by optimization.

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