Some things I found. Most notably, points C and D:
Texas Business & Commerce Code - Section 2.328. Sale By Auction
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§ 2.328. SALE BY AUCTION.
(a) In a sale by auction if goods are put up in lots each lot is the subject of a separate sale.
(b) A sale by auction is complete when the auctioneer so announces by the fall of the hammer or in other customary manner. Where a bid is made while the hammer is falling in acceptance of a prior bid the auctioneer may in his discretion reopen the bidding or declare the goods sold under the bid on which the hammer was falling.
(c) Such a sale is with reserve unless the goods are in explicit terms put up without reserve. In an auction with reserve the auctioneer may withdraw the goods at any time until he announces completion of the sale. In an auction without reserve, after the auctioneer calls for bids on an article or lot, that article or lot cannot be withdrawn unless no bid is made within a reasonable time. In either case a bidder may retract his bid until the auctioneer's announcement of completion of the sale, but a bidder's retraction does not revive any previous bid.
(d) If the auctioneer knowingly receives a bid on the seller's behalf or the seller makes or procures such a bid, and notice has not been given that liberty for such bidding is reserved, the buyer may at his option avoid the sale or take the goods at the price of the last good faith bid prior to the completion of the sale. This subsection shall not apply to any bid at a forced sale. Acts 1967, 60th Leg., p. 2343, ch. 785, § 1, eff. Sept. 1, 1967.
And, on top of that, two things that are listed on eBay site as not allowed under the non-binding bid policy:
-Backing out of the transaction due to buyer or seller remorse
-Backing out of the transaction because buyers didn't place a high enough bid and the seller didn't add a reserve price