Compete for, in a way

• Offer a price for at auction
• Go for, at an auction
• Try to buy via eBay
• Try to get, at an auction
• Try to buy, at an auction
• Go for a lot, maybe?
• Raise one's hand for, say
• Attempt to win at auction
• Try to win, as auctioned items

Wiktionary Word definitions in Wiktionary
n. (context cycling English) A water bottle.