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@ARTICLE{Schrder:849930,
      author       = {Schröder, Malte and Nagler, Jan and Timme, Marc and
                      Witthaut, Dirk},
      title        = {{H}ysteretic percolation from locally optimal individual
                      decisions},
      journal      = {Physical review letters},
      volume       = {120},
      number       = {24},
      issn         = {1079-7114},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2018-04025},
      pages        = {248302},
      year         = {2018},
      abstract     = {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.},
      cin          = {IEK-STE},
      ddc          = {550},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {153 - Assessment of Energy Systems – Addressing Issues of
                      Energy Efficiency and Energy Security (POF3-153) /
                      VH-NG-1025 - Helmholtz Young Investigators Group
                      "Efficiency, Emergence and Economics of future supply
                      networks" $(VH-NG-1025_20112014)$ / CoNDyNet - Kollektive
                      Nichtlineare Dynamik Komplexer Stromnetze $(PIK_082017)$},
      pid          = {G:(DE-HGF)POF3-153 / $G:(HGF)VH-NG-1025_20112014$ /
                      $G:(Grant)PIK_082017$},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29957012},
      UT           = {WOS:000435336200014},
      doi          = {10.1103/PhysRevLett.120.248302},
      url          = {https://juser.fz-juelich.de/record/849930},
}