@Turquoise0, whether you have a weekly discount or don't have a weekly discount is generally not important.
What is important is the price your guest sees.
For example: Host 1 has a nightly price of $500/night and a weekly discount of 10%.
Host 2 has a nightly price of $400/night, but no weekly discount.
One week at host 1: 7x$500 = $3500 less 10% = $3150
One week at host 2:7x$400 = $2800 no discount = $2800
Does the guest care that host 1 has a discount?
Set your price to what you want your price to be.
People will pick their travel dates for their own reasons. They generally will not change their vacation plans just because you offer a weekly discount.
Plus, if you offer too much of a weekly discount, there have been stories of guest reserving the whole week but only intending to stay 5 or 6 nights. The weekly discount made it cheaper to reserve 7 nights and only stay 6, rather than just reserve and pay for only 6 nights.
(So if you do offer a weekly discount, make sure 7 nights always costs more than 6 nights).
