c) Consider an auction where bidders have independent private values. Each bidder perceives that valuations are evenly distributed between $0 and $250. Peter knows his own valuation is $60. Determine Sam's optimal bidding strategy in (1) a first-price, sealed-bid auction with four bidders; (2) a Dutch auction with seven bidders; and (3) a second-price, sealed-bid auction with two bidders.

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c) Consider an auction where bidders have independent private values. Each bidder perceives that valuations are
evenly distributed between $0 and $250. Peter knows his own valuation is $60. Determine Sam's optimal
bidding strategy in (1) a first-price, sealed-bid auction with four bidders; (2) a Dutch auction with seven bidders;
and (3) a second-price, sealed-bid auction with two bidders.
Transcribed Image Text:c) Consider an auction where bidders have independent private values. Each bidder perceives that valuations are evenly distributed between $0 and $250. Peter knows his own valuation is $60. Determine Sam's optimal bidding strategy in (1) a first-price, sealed-bid auction with four bidders; (2) a Dutch auction with seven bidders; and (3) a second-price, sealed-bid auction with two bidders.
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