You can offer other things in addition to the eggs so it gives people a choice.... gold feather membership, gift card to Walmart/Amazon/etc, or various items around the house that you would think people might find useful.
Most chains roll back to the previous offer if nobody accepts the current offer. I don't see anything in the rules of this chain about this so I guess the moderator would need to jump in to clarify. If everyone had to keep putting up new offers without getting something first we wouldn't have a...