Main Empirical Results from Data Sets: Online guilds and offline street gangs World of warcraft World of warcraft LA gangs 1000 All guilds in all servers All guilds in all servers All gang (a) (b) 1000 s 100 0.7 -0.55 92 106 500 110°im0 L LL 10 100 10 1000 Wow guild size Cumulative gang size distribution N(s)for all Cumulative size distribution distribution of la guilds in 3 servers S1, S2, Inset: Churn vs guild size Street gangs with all S3(put together) in Oct ethnicity put together 2005 Total members 5214 Total players: 76686 Small data sets Steps even in N(s>s Data from: Ducheneaut and Yee(Palo alto Research Center)
Main Empirical Results from Data Sets: Online guilds and Offline street gangs Wow Guild size distribution N(s) for all guilds in 3 servers S1, S2, S3 (put together) in Oct 2005 Total players: 76686 Cumulative size distribution Inset: Churn vs guild size Cumulative gang size distribution of LA Street gangs with all ethnicity put together Total members: 5214 Small data sets Steps even in N(s’>s) Data from: Ducheneaut and Yee (Palo Alto Research Center)
All guilds in all servers Server: S1 N=766861000 (a) (b) N=24033 kinship model 100200 200 1o108 6100 s Server: S2 Server: S3 1000 N=24477 N=28176 100k200 200 ∧ u口日 0o10 100 250 s 10 WoW Empirical data (blue)& Team-formation Modeling Results(red) Cumulative guild size distribution and Churn vs guild size N from data is taken as input (data in oct 2005
WoW Empirical data (blue) & Team-formation Modeling Results (red) Cumulative guild size distribution and Churn vs guild size N from data is taken as input (data in Oct 2005) N=76686 N=24033 N=24477 N=28176
100 All gangs (e) ∧ N=5214 t10 10 100 1000 Cumulative gang size distribution Data(blue)and team-formation modeling results(red) Dashed line(kinship/ buddy-buddy model) See APS News item June 2009) http:/physics.aps.org/synopsis-for/10.1103/physreve.79.066117 for an news item reporting our work
Cumulative gang size distribution Data (blue) and team-formation modeling results (red) Dashed line (kinship/”buddy-buddy” model) N=5214 See APS News item (June 2009) http://physics.aps.org/synopsis-for/10.1103/PhysRevE.79.066117 for an news item reporting our work
Here, we use an adaptive snowdrift game as an example to illustrate how coupled dynamics influence each other and explicit coupled transitions in the form of disconnected to connected network transition(structural) highly cooperative to lower cooperative population(functional) segregated phase to mixed-character phase(population characteristics frozen to continously evolving(dynamical) how one could approach such problems analytically what to look at in formulating a theory and its validity what a proper theory can inform us about the properties of the system
Here, we • use an adaptive snowdrift game as an example to illustrate… -- how coupled dynamics influence each other and explicit coupled transitions in the form of • disconnected to connected network transition (structural) • highly cooperative to lower cooperative population (functional) • segregated phase to mixed-character phase (population characteristics) • frozen to continously evolving (dynamical) -- how one could approach such problems analytically -- what to look at in formulating a theory and its validity -- what a proper theory can inform us about the properties of the system
Snowdrift Game SDG)[1 ☆ Scenario Two drivers heading home in opposite directions Blocked by a snowdrift Each driver: 2 actions/characters C( cooperate")= to shovel the snowdrift D(“noto- operate”)OR‘ defect(in prisoner's dilemma language)=not to shovel [1]J M. Smith, Evolution and the Theory of Games( cambridge Univ Press 1982). In other contexts, the"game of chicken
Snowdrift Game (SDG) [1] ◼ Two drivers heading home in opposite directions ◼ Blocked by a snowdrift ◼ Each driver: 2 actions/characters C (“cooperate”) = to shovel the snowdrift D (“not-to-operate”) OR “defect”(in prisoner’s dilemma language) = not to shovel ❖Scenario: [1] J. M. Smith, Evolution and the Theory of Games ( Cambridge Univ. Press 1982). In other contexts, the “game of chicken