Co-evolution of networks and opinions PETTER HOLME Co-evolution of networks and opinions phase transitions in social systems? Petter Holme coevolution of networks and opinions KTH, CSC, Computational Biology validation November 4, 2008, DIMACS http://www.csc.kth.se/ ∼ pholme/
outline Co-evolution of networks and opinions PETTER HOLME dynamics of the network phase transitions in social systems? dynamics on the network coevolution of networks and opinions validation
outline Co-evolution of networks and opinions dynamics of the network PETTER HOLME opinions, information disease, religion, norms phase transitions in social systems? dynamics on the network coevolution of friendships, trust networks and business contacts opinions validation
outline Co-evolution phase transitions in social systems? of networks and opinions our models PETTER HOLME verify empirically / experimentally phase what can we learn? transitions in social systems? coevolution of networks and opinions validation
outline Co-evolution phase transitions in social systems? of networks and opinions our models PETTER HOLME verify empirically / experimentally phase what can we learn? transitions in social systems? coevolution of networks and opinions validation
outline Co-evolution phase transitions in social systems? of networks and opinions our models PETTER HOLME verify empirically / experimentally phase what can we learn? transitions in social systems? coevolution of networks and opinions validation
outline Co-evolution phase transitions in social systems? of networks and opinions our models PETTER HOLME verify empirically / experimentally phase what can we learn? transitions in social systems? coevolution of networks and opinions validation
outline Co-evolution phase transitions in social systems? of networks and opinions our models PETTER HOLME verify empirically / experimentally phase what can we learn? transitions in social systems? coevolution of networks and opinions validation
phase transitions Co-evolution of networks quantity describing system and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation system’s environment
. . . in social systems? Co-evolution quantities describing the system — census statistics, of networks and opinions election results, . . . PETTER HOLME parameters describing the environment (should be “the same” for all the agents) — gas price, . . . phase transitions in social does social systems fit this framework? systems? phase transitions can be categorized by their “critical coevolution of networks and exponents”, which depends only on symmetries in the opinions system (not boundary conditions, dynamic properties, etc.) validation
. . . in social systems? Co-evolution quantities describing the system — census statistics, of networks and opinions election results, . . . PETTER HOLME parameters describing the environment (should be “the same” for all the agents) — gas price, . . . phase transitions in social does social systems fit this framework? systems? phase transitions can be categorized by their “critical coevolution of networks and exponents”, which depends only on symmetries in the opinions system (not boundary conditions, dynamic properties, etc.) validation
. . . in social systems? Co-evolution quantities describing the system — census statistics, of networks and opinions election results, . . . PETTER HOLME parameters describing the environment (should be “the same” for all the agents) — gas price, . . . phase transitions in social does social systems fit this framework? systems? phase transitions can be categorized by their “critical coevolution of networks and exponents”, which depends only on symmetries in the opinions system (not boundary conditions, dynamic properties, etc.) validation
. . . in social systems? Co-evolution quantities describing the system — census statistics, of networks and opinions election results, . . . PETTER HOLME parameters describing the environment (should be “the same” for all the agents) — gas price, . . . phase transitions in social does social systems fit this framework? systems? phase transitions can be categorized by their “critical coevolution of networks and exponents”, which depends only on symmetries in the opinions system (not boundary conditions, dynamic properties, etc.) validation
. . . in social systems? Co-evolution quantities describing the system — census statistics, of networks and opinions election results, . . . PETTER HOLME parameters describing the environment (should be “the same” for all the agents) — gas price, . . . phase transitions in social does social systems fit this framework? systems? phase transitions can be categorized by their “critical coevolution of networks and exponents”, which depends only on symmetries in the opinions system (not boundary conditions, dynamic properties, etc.) validation
the idea Co-evolution P . Holme & M. E. J. Newman, Phys. Rev. E 74 , 056108 (2006). of networks and opinions Opinions spread over social networks. PETTER HOLME People with the same opinion are likely to become phase acquainted. transitions in social systems? We try to combine these points into a simple model of coevolution of simultaneous opinion spreading and network evolution. networks and opinions validation
the idea Co-evolution P . Holme & M. E. J. Newman, Phys. Rev. E 74 , 056108 (2006). of networks and opinions Opinions spread over social networks. PETTER HOLME People with the same opinion are likely to become phase acquainted. transitions in social systems? We try to combine these points into a simple model of coevolution of simultaneous opinion spreading and network evolution. networks and opinions validation
the idea Co-evolution P . Holme & M. E. J. Newman, Phys. Rev. E 74 , 056108 (2006). of networks and opinions Opinions spread over social networks. PETTER HOLME People with the same opinion are likely to become phase acquainted. transitions in social systems? We try to combine these points into a simple model of coevolution of simultaneous opinion spreading and network evolution. networks and opinions validation
the idea Co-evolution P . Holme & M. E. J. Newman, Phys. Rev. E 74 , 056108 (2006). of networks and opinions Opinions spread over social networks. PETTER HOLME People with the same opinion are likely to become phase acquainted. transitions in social systems? We try to combine these points into a simple model of coevolution of simultaneous opinion spreading and network evolution. networks and opinions validation
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation Clifford & Sudbury, Biometrika 60 , 581 (1973). Holley & Liggett, Ann. Probab. 3 , 643 (1975).
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation choose one vertex randomly
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation copy the opinion of a random neighbor
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation and so on . . .
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation and so on . . .
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation and so on . . .
the voter model Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation and so on . . .
acquaintance dynamics: precepts Co-evolution People of similar interests are likely to get acquainted. of networks and opinions The number of edges is constant. PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation
acquaintance dynamics: precepts Co-evolution People of similar interests are likely to get acquainted. of networks and opinions The number of edges is constant. PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation
acquaintance dynamics: precepts Co-evolution People of similar interests are likely to get acquainted. of networks and opinions The number of edges is constant. PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation
acquaintance dynamics Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation
acquaintance dynamics Co-evolution of networks and opinions PETTER HOLME phase transitions in social systems? coevolution of networks and opinions validation choose one vertex randomly
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