Definition: In this task, you're given a paragraph from the research paper and your task is to generate a suitable title for the research paper based on the given paper. Under 100 words is a good title length.
Input: We recall the utility function of individual i defined in the Methods section below, (S1) Define the space of probability distributions on the action space (0 ≤ a i ≤ 1) [0, 1] as ([0, 1]). A mixed strategy profile σ (·) is a function that maps the state s ∈ {0, 1} n to the space of probability distributions on the actions space, i.e., σ i : {0, 1} n → ([0, 1]). The definition of a mixed MMPE strategy profile σ * := {σ * i : {0, 1} n → [0, 1]} is a distribution on the action space that satisfies the following, for all t = 1, 2, . . . , and i ∈ N ,

Disease dynamics in a stochastic network game: a little empathy goes a long way in averting outbreaks Supplementary Material