Bidding on a private lunch with investor Warren Buffett has started off slowly, but the auction that attracted winning bids of more than $2 million in each of the past four years runs all week.

Berkshire Hathaway CEO Warren Buffett

By Tuesday morning, the bids remained at the opening price of $25,000, but astronomical bids typically don't arrive until the last minute. The eBay auction runs until Friday evening.