compcontagion11

Effects some illustrave simulaons varying combina0ons

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Unformatted text preview: steps and update schedule, update uninfected ver0ces –  Pick v, compute f and flip biased coin; if infec0on, compute g and flip biased coin to choose R/B •  General condi0ons on f: f(0) = 0, f(1) = 1, f increasing •  General condi0ons on g: g(0) = 0, g(1)= 1, 1 ­g(x) = g(1 ­x), g increasing •  Obtain broad class of behaviors by varying G, K_R, K_B, f and g Sample Switching Func&ons r < 1: f concave, faster adoption r > 1: f convex, slower adoption Sample Selec&on Func&ons s < 1: g “equalizing”, weak platform effects s > 1: g “polarizing”, strong platform effects Some Illustra&ve Simula&ons •  Varying combina0ons of: –  linear/concave/convex switching func0ons f –  linear/polarizing/equalizing selec0on func0ons g –  graph structures: Erdos ­Renyi and Preferen0al Agachment trees •  Slight budget advantage for Red •  Random (non ­strategic) ini0al infec0ons •  Roll the tapes… Interes&ng Ques&ons •  How do graph structure, f and g influence equilibrium proper0es? –  We don’t know a lot here yet. •  How high can the Price of Anarchy be? –  Max social welfare vs. equilibrium welfare •  How high can the Price of Budgets be? –  Imbalance of payoffs at equilibrium vs. imbalance of ini0al budgets...
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