Invites offers (4)
I believe the answer is:
bids
I believe this is a double definition.
'invites' is the first definition.
('bid' can be a synonym of 'invite')
'offers' is the second definition.
(bid is a kind of offer)
(Other definitions for bids that I've seen before include "Auction actions" , "Proposals to buy at a certain price" , "Offers at auctions" , "Makes offer at auction" .)