TY  - JOUR
AU  - Schröder, Malte
AU  - Nagler, Jan
AU  - Timme, Marc
AU  - Witthaut, Dirk
TI  - Hysteretic percolation from locally optimal individual decisions
JO  - Physical review letters
VL  - 120
IS  - 24
SN  - 1079-7114
CY  - College Park, Md.
PB  - APS
M1  - FZJ-2018-04025
SP  - 248302
PY  - 2018
AB  - The emergence of large-scale connectivity underlies the proper functioning of many networked systems, ranging from social networks and technological infrastructure to global trade networks. Percolation theory characterizes network formation following stochastic local rules, while optimization models of network formation assume a single controlling authority or one global objective function. In socioeconomic networks, however, network formation is often driven by individual, locally optimal decisions. How such decisions impact connectivity is only poorly understood to date. Here, we study how large-scale connectivity emerges from decisions made by rational agents that individually minimize costs for satisfying their demand. We establish that the solution of the resulting nonlinear optimization model is exactly given by the final state of a local percolation process. This allows us to systematically analyze how locally optimal decisions on the microlevel define the structure of networks on the macroscopic scale.
LB  - PUB:(DE-HGF)16
C6  - pmid:29957012
UR  - <Go to ISI:>//WOS:000435336200014
DO  - DOI:10.1103/PhysRevLett.120.248302
UR  - https://juser.fz-juelich.de/record/849930
ER  -