Platforms' commission to merchants in the three scenarios and the dominant merchant in each specific area.

Table 2: Platforms' commission to merchants in the three scenarios and the dominant merchant in each specific area.

Scenarios	Areas	Commission from Merchant A	Commission from Merchant B	Dominant Merchant
Intense (SC1)	$0 ~ L$	$τ$	$τ$	NONE
Moderate (SC2)	$0 ~ L - a$	$τ$	$τ + \int_{d^{*}}^{L - a} [τ + λ (L - x - a)] d x$	A
	$L - a ~ a$	$τ$	$τ$	NONE
	$a ~ L$	$τ + \int_{a}^{d^{*}} [τ + λ (L - x - a)] d x$	$τ$	B
Weak (SC3)	$0 ~ a$	$τ$	$τ + \int_{d^{*}}^{L - a} [τ + λ (L - x - a)] d x$	A
	$a ~ L - a$	$τ + \int_{a}^{d^{*}} [τ + λ (x - a)] d x$	$τ + \int_{d^{*}}^{L - a} [τ + λ (L - x - a)] d x$	NONE
	$L - a ~ L$	$τ + \int_{a}^{d^{*}} [τ + λ (L - x - a)] d x$	$τ$	B