1.
a revised offer from somebody who rejects another person's offer as unsatisfactory, made in part to continue their negotiations toward a purchase or agreement
2.
an offer made by somebody selling something, usually a reduction in what was first asked, made to persuade the buyer to improve a previous unsatisfactory offer
3.
an offer made as an answer to another offer that you do not want to accept, for example an offer by the seller of a higher price than was offered by the buyer, but lower than the first price that was asked