Table 1 The profit matrix of Arctic coastal governments, Arctic ports and shipping companies.
| Â | Â | Arctic coastal government | |
|---|---|---|---|
| Â | Â | \({G}_{1}\) (\(x\)) | \({C}_{2}\) (1-\(x\)) |
Arctic port \({P}_{1}\) (\(y\)) | Shipping company \({S}_{1}\) (\(z\)) | \({W}_{g0}+{W}_{g1}+{W}_{g2}+{B}_{1}+{B}_{2}-{C}_{g1}-{S}_{p}-{S}_{s}\) | \({W}_{g0}+{W}_{g1}+{W}_{g2}-{C}_{g2}\) |
\({I}_{p}+T+{E}_{p}+{S}_{p}-{C}_{p1}-{C}_{p2}-\gamma T\) | \({I}_{p}+T+{E}_{p}-{C}_{p1}-{C}_{p2}-\gamma T\) | ||
\({I}_{s}+{E}_{s}+{S}_{s}+\gamma T-{C}_{s}-T\) | \({I}_{s}+{E}_{s}+\gamma T-{C}_{s}-T\) | ||
Shipping company \({S}_{2}\) (1-\(z\)) | \({W}_{g0}+{W}_{g2}+{B}_{1}-{C}_{g1}-{S}_{p}-E\) | \({W}_{g0}+{W}_{g2}-{C}_{g2}-E\) | |
\({I}_{p}+T+\lambda T+{E}_{p}+{S}_{p}-{C}_{p1}-{C}_{p2}-{W}_{p}\) | \({I}_{p}+T+\lambda T+{E}_{p}-{C}_{p1}-{C}_{p2}-{W}_{p}\) | ||
\({I}_{s}-T-\lambda T\) | \({I}_{s}-T-\lambda T\) | ||
Arctic port \({P}_{2}\) (1-\(y\)) | Shipping company \({S}_{1}\) (\(z\)) | \({W}_{g0}+{W}_{g1}+{W}_{g2}+{B}_{1}+{B}_{2}+{F}_{p}-{C}_{g1}-{S}_{s}\) | \({W}_{g0}+{W}_{g1}+{W}_{g2}-{C}_{g2}-{C}_{g3}\) |
\({I}_{p}+T-{C}_{p1}-{F}_{p}\) | \({I}_{p}+T+{C}_{p1}\) | ||
\({I}_{s}+{E}_{s}+{S}_{s}-{C}_{s}-T\) | \({I}_{s}+{E}_{s}-{C}_{s}-T\) | ||
Shipping company \({S}_{2}\) (1-\(z\)) | \({W}_{g0}+{W}_{g2}+{B}_{1}+{F}_{p}-{C}_{g1}-E\) | \({W}_{g0}+{W}_{g2}-{C}_{g2}-{C}_{g3}-E\) | |
\({I}_{p}+T-{C}_{p1}-{F}_{p}-{W}_{p}\) | \({I}_{p}+T-{C}_{p1}-{W}_{p}\) | ||
\({I}_{s}-T\) | \({I}_{s}-T\) | ||
