Table 2 Mixed Strategy Game Matrix for High, Medium, and Low-skilled firms.
Low-skilled firms | Medium-skilled firms | |||
|---|---|---|---|---|
enter central city \(P\left({\beta }_{1}\right)=y\) | do not enter central city \(P\left({\beta }_{2}\right)=1-y\) | |||
High-skilled firms | enter central city \(P\left({\alpha }_{1}\right)=\,x\) | enter central city \({\rm{P}}\left({{\rm{\gamma }}}_{1}\right)={\rm{z}}\) | â‘ \({{\mathbb{A}}Q}_{\alpha }+F-C\) | â‘ \({{\mathbb{A}}Q}_{\alpha }+F-C\) |
②\({{\mathbb{A}}Q}_{\beta }+F-C\) | ②\({Q}_{\beta }-D\) | |||
③\({\mathbb{A}}{Q}_{\gamma }+F-C\) | ③\({\mathbb{A}}{Q}_{\gamma }+F-C\) | |||
do not enter central city \({\rm{P}}\left({{\rm{\gamma }}}_{2}\right)=1-{\rm{z}}\) | â‘ \({{\mathbb{A}}Q}_{\alpha }+F-C\) | â‘ \({Q}_{\alpha }+F\) | ||
②\({{\mathbb{A}}Q}_{\beta }+F-C\) | ②\({Q}_{\beta }-D\) | |||
③\({Q}_{\gamma }-D\) | ③\({Q}_{\gamma }-D\) | |||
do not enter central city \(P\left({\alpha }_{2}\right)=1-x\) | enter central city \(P\left({\gamma }_{1}\right)=z\) | â‘ \({Q}_{\alpha }-D\) | â‘ \({Q}_{\alpha }-D\) | |
②\({{\mathbb{A}}Q}_{\beta }+F-C\) | ②\({Q}_{\beta }-D\) | |||
③\({\mathbb{A}}{Q}_{\gamma }+F-C\) | ③\({Q}_{\gamma }+F\) | |||
do not enter central city \(P\left({\gamma }_{2}\right)=1-z\) | â‘ \({Q}_{\alpha }-D\) | â‘ \({Q}_{\alpha }-D\) | ||
②\({Q}_{\beta }+F\) | ②\({Q}_{\beta }-D\) | |||
③\({Q}_{\gamma }-D\) | ③\({Q}_{\gamma }-D\) | |||
