Table 7: The impact of add-on ratio of commission on merchant optimal pricing.

 Condition Positive Correlation Negative Correlation With Trust Advantage ($\Delta T>0$ ) $0<\Delta T\le 6\text{a}L\theta -3{L}^{2}\theta$ ${p}_{A}^{SC3~N*}$ ${p}_{A}^{SC2~A*}$ ; ${p}_{A}^{SC2~B*}$ ; ${p}_{A}^{SC3~A*}$ ; ${p}_{A}^{SC3~B*}$ $\Delta T\ge 6\text{a}L\theta -3{L}^{2}\theta$ ${p}_{A}^{SC3~sN*}$ ;${p}_{A}^{SC3~B*}$ ${p}_{A}^{SC2~A*}$ ;${p}_{A}^{SC2~B*}$ ; ${p}_{A}^{SC3~A*}$ Without Trust Advantage ($\Delta T<0$ ) $\left(-3\text{a}L\theta +1.5{L}^{2}\theta \right)<\Delta T\le 0$ ${p}_{A}^{SC3~N*}$ ${p}_{A}^{SC2~A*}$ ; ${p}_{A}^{SC2~B*}$ ;${p}_{A}^{SC3~A*}$ ;${p}_{A}^{SC3~B*}$ $\left(-1.5{L}^{2}-6{L}^{2}\theta \right)<\Delta T\le \left(-3\text{a}L\theta +1.5{L}^{2}\theta \right)$ ${p}_{A}^{SC2~B*}$ ;${p}_{A}^{SC3~N*}$ ${p}_{A}^{SC2~A*}$ ;${p}_{A}^{SC3~A*}$ ;${p}_{A}^{SC3~B*}$ $-6\text{a}L\theta +3{L}^{2}\theta <\Delta T\le \left(-1.5{L}^{2}-6{L}^{2}\theta \right)$ ${p}_{A}^{SC2~B*}$ ${p}_{A}^{SC2~A*}$ ;${p}_{A}^{SC3~A*}$ ; ${p}_{A}^{SC3~N*}$ ; ${p}_{A}^{SC3~B*}$ $\Delta T<-6\text{a}L\theta +3{L}^{2}\theta$ ${p}_{A}^{SC2~A*}$ ;${p}_{A}^{SC2~B*}$ ; ${p}_{A}^{SC3~A*}$ ${p}_{A}^{SC3~N*}$ ;${p}_{A}^{SC3~B*}$