What payment system should I use for a multi vendor ecommerce?

I am creating an eCommerce site using WordPress (and would choose 1 between WooCommerce and Easy Digital Downloads as required). My website would allow multiple vendors to sell their products. My question is how would I pay the vendors (Paypal is not an option). Can a payment gateway through which I would receive money can be used to send money to the vendors too ?

You could use WP Vendors plugin, one of my theme is compatible with it, and thay plugin has some cool features for vendors (ex: separate earnings for each saleā€¦)

Thanks leafcolor for your reply, but I wish to know how I am supposed to pay the vendors. I am targeting towards sellers who would not have paypal. I need to send them money to their bank accounts. Is there a systematic way of doing that?