I don't quite follow what purpose these subdomains would serve or how your affiliates would use them? That said, our affiliate links work the same regardless of what sites/domains the affiliate links and your actual purchase buttons are on. We can provide two different types of link code to your affiliates, Hop Links and Direct Links.
Hop Links simply redirect the buyer to whatever landing page you have specified for the link; this would typically be your site's homepage or main shopping page. You can also enable product-specific Hop Links that redirect to your sales page for that specific product.
Regardless of what Hop Link a buyer clicks, before we redirect them to the landing page for that link, we first set a referral cookie in the buyer's browser that expires in 6 months. Anything that buyer purchases from you during the lifespan of that cookie will earn the referring affiliate a commission according to your product-specific % for any purchased items that have one or your common % for any other purchased items.
With Hop Links, the buyer is shopping and purchasing directly with you on the same site you use for non-affiliate sales, so there is no need to set up a separate "online store" site for each affiliate, as they can just post their Hop Link anywhere online to refer buyers to your site.
Direct Links are optional and would work as purchase buttons the affiliate could place on their own site (if they have one), so buyers could shop and purchase on the affiliate's site without ever having to visit your regular site. The buyer would still be purchasing directly from you, but their order would reference that affiliate, who would earn the product-specific % on any items purchased through their Direct Links (your common % does not apply to Direct Link sales).