Table 1 Evolutionary game payment matrix without public participation.

From: An evolutionary game for the behavior of third-party evaluators in pension public–private partnership incorporating public participation

Third-party evaluators

Government regulators

AS (\(y\))

NS (\(1 - y\))

TE (\(x\))

\(R_{t} - C_{t}\),\(R_{g} - C_{g}\)

\(R_{t} - C_{t}\),\(0\)

FE (\(1 - x\))

\(R_{t} { + }\alpha R_{r} - C_{f} - F_{t}\),\(R_{g} - C_{g}\)

\(R_{t} { + }\alpha R_{r} - C_{f} - \beta F_{{\text{t}}}\),\(- \beta F_{g}\)