Table 2 Game payoff matrix based on PT-MA theory.

Urban Investment construction companies

Cooperation(x)

\(\begin{aligned}& T\left[ {I( {1+\theta } )(1 - \beta )} \right] - S[ I(L +B \\&+D( {1 - \gamma } ) +{Q_1}+S+\alpha )(1 - \beta ) ]\end{aligned}\)\(\begin{aligned}&T\left[ {I\alpha +I(1+\theta )\beta } \right] \\&- S\left[ {\beta *({Q_2}+L+D(1 - \gamma )+S} \right]\end{aligned}\)

\(T\left( 0 \right) - S\left( 0 \right)\)\(T\left[ {I(1+\theta )} \right] - S\left[ {I(L+D(1 - \gamma )+B+{Q_2}+S)} \right]\)

Competition(1-x)

\(T\left[ I \right] - S\left[ {I(L+D+B+{Q_1}+S)} \right]\)\(T\left( 0 \right) - S\left( 0 \right)\)

\(T\left( 0 \right) - S\left( B \right)\)\(\begin{aligned}&T[I\left( {1+\theta } \right)] - S[I(L\left( {1+\delta } \right)+\\& D\left( {1 - \gamma } \right)+B+{Q_2}+S)]\end{aligned}\)