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, |
a(p) | individual learning rate, a(p) = a0 + a1 p | |
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 |