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. 2022 Jun 22;9(6):211833. doi: 10.1098/rsos.211833

Table 1.

Most important variables, functions and parameters (also see electronic supplementary material, table S1).

symbols their meaning
variables x individual choice: old (x = 0) or new (x = 1) technology
y individual attitude towards the new technology (0 ≤ y ≤ 1)
b individual benefit/skill of using the new technology
functions p frequency of adopters, p=xi/N
a(p) individual learning rate, a(p) = a0 + a1 p
Π(x,b) perceived material benefit, equation (2.3)
V(x, y) normative component in the utility function, electronic supplementary material, equation (S1)
U(x, y, b) utility function, equation (2.2)
parameters b0 individual benefit of using old technology
bmin, bmax minimum and maximum benefits of using new technology
c knowledge depreciation rate
a0, a1 learning parameters
ω foresight parameter
v, α, D cognitive dissonance parameters (D = (v + α)/2)
k1, β1, K1 conformity with peers’ actions parameters (K1 = (k1 + β1)/2)
k2, β2, K2 conformity with peers’ attitudes parameters (K2 = (k2 + β2)/2)
k3, β3, K3 conformity with authority parameters (K3 = (k3 + β3)/2)
ɛ strength of normative factors in the utility function
λ precision parameter
control variables p0, bs proportion of trained individuals and the subsidy to first adopters
f0, f1, f3, f4 parameters scaling the effects of cognitive dissonance, visibility of peers’ actions, visibility of peers’ attitudes, and authority’s effort