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

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

Condition		Positive Correlation	Negative Correlation
With Trust Advantage ( $Δ T > 0$ )	$0 < Δ T \leq 6 a L θ - 3 L^{2} θ$	$p_{A}^{S C 3 ~ N *}$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 2 ~ B }$ ; $p_{A}^{S C 3 ~ A }$ ; $p_{A}^{S C 3 ~ B }$
With Trust Advantage ( $Δ T > 0$ )	$Δ T \geq 6 a L θ - 3 L^{2} θ$	$p_{A}^{S C 3 ~ s N }$ ; $p_{A}^{S C 3 ~ B }$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 2 ~ B }$ ; $p_{A}^{S C 3 ~ A *}$
Without Trust Advantage ( $Δ T < 0$ )	$(- 3 a L θ + 1.5 L^{2} θ) < Δ T \leq 0$	$p_{A}^{S C 3 ~ N *}$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 2 ~ B }$ ; $p_{A}^{S C 3 ~ A }$ ; $p_{A}^{S C 3 ~ B }$
	$(- 1.5 L^{2} - 6 L^{2} θ) < Δ T \leq (- 3 a L θ + 1.5 L^{2} θ)$	$p_{A}^{S C 2 ~ B }$ ; $p_{A}^{S C 3 ~ N }$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 3 ~ A }$ ; $p_{A}^{S C 3 ~ B *}$
	$- 6 a L θ + 3 L^{2} θ < Δ T \leq (- 1.5 L^{2} - 6 L^{2} θ)$	$p_{A}^{S C 2 ~ B *}$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 3 ~ A }$ ; $p_{A}^{S C 3 ~ N }$ ; $p_{A}^{S C 3 ~ B }$
	$Δ T < - 6 a L θ + 3 L^{2} θ$	$p_{A}^{S C 2 ~ A }$ ; $p_{A}^{S C 2 ~ B }$ ; $p_{A}^{S C 3 ~ A *}$	$p_{A}^{S C 3 ~ N }$ ; $p_{A}^{S C 3 ~ B }$