The benchmark case corresponds to an auction with N=5 potential candidates. Firms' construction costs are randomly drawn from a uniform distribution IiU [100; 1,000], and demand beliefs from an independent distribution Qi eU [10; 30]. The contract-term is set at T=30 years for the fixedterm auctions. Price is fixed at P=0.75 for the case of maximum payment auction; and payment at Z=100, for the price auction. With these values, the expected range of total revenue for firms is [225, 21 675]. For the average type of firm, with cost Ii = 550, this implies that profits may vary between [- 325, 125], so the project is quite risky and only attractive to firms with low costs. calculate Winner's real construction cost, Winner's expected profits, Winner's expected demand, Probability of selection error, Probability of contract renegotiation ,for price Auction ,payment auction and LPVR auction.