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Health Newscasts for Increasing Influenza Vaccination Coverage: An Inductive Reasoning Game Approach

Figure 1

Representation of the possible fixed point equations for the example models.

For illustration, we consider [17], [18]. We assume that in the shaded region (i.e., where ) and that is larger than zero and strictly decreasing in the complementary region. Model 1 has an attractor from the left at . For models 2, 3, 4a and 4b, the functions are represented with thin violet continuous, thick green continuous, cyan dot-dashed and red dashed lines, respectively. Note that and intersect at , and intersect at , and and intersect at , where is the golden ratio conjugate. The function is smaller than in the unit interval; thus, . When restricted to the unit square, is larger than ; thus, .

doi: https://doi.org/10.1371/journal.pone.0028300.g001