You are a bidder in an independent private values auction. Each potential bidder perceives that valuations are evenly distributed between $100 and $1,000. If there is a total of three bidders and your own valuation of the item is the average of all valuations, what is your optimal bidding strategy in:

a. A first-price, sealed-bid auction? b. A Dutch auction? c. A second-price, sealed-bid auction? d. An English auction?