Table 5 Stability of the equilibrium point: \((1-\varepsilon {)\sigma R}_{A} > (1-{\mu }_{A}){E}_{A}^{2}/2+{C}_{3A}\) and \((1-{\nu )\tau R}_{B} > (1-{\mu }_{B}){E}_{B}^{2}/2+{C}_{3B}\).
From: Fiscal centralization versus decentralization of transport infrastructure operation and maintenance
Equilibrium points | Signs of eigenvalues | Stability | ||
|---|---|---|---|---|
\({k}_{1}\) | \({k}_{2}\) | \({k}_{3}\) | ||
\({E}_{1}\left(\mathrm{0,0,0}\right)\) | unsure | + | + | Non-ESS |
\({E}_{2}\left(\mathrm{1,0,0}\right)\) | unsure | + | + | Non-ESS |
\({E}_{3}\left(\mathrm{0,1,0}\right)\) | unsure | ― | + | Non-ESS |
\({E}_{4}\left(\mathrm{0,0,1}\right)\) | unsure | + | ― | Non-ESS |
\({E}_{5}\left(\mathrm{1,1,0}\right)\) | unsure | ― | + | Non-ESS |
\({E}_{6}\left(\mathrm{1,0,1}\right)\) | unsure | + | ― | Non-ESS |
\({E}_{7}\left(\mathrm{0,1,1}\right)\) | ― | ― | ― | ESS |
\({E}_{8}\left(\mathrm{1,1,1}\right)\) | + | ― | ― | Non-ESS |
