Mechanism Design with Common Values

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چکیده

vi = θ1 + θ2 Assume for simplicity that the θi are i.i.d. random variables with a continuous density on [0, 1]. How would you bid in a first price auction? How would you bid in a second price auction? Does the second price auction have dominant strategy equilibria? Does the game have other equilibria that are similar to dominant strategy equilibria in some sense? Analysis of the first price auction: Find a symmetric equilibrium in strictly increasing strategies. Implication: Player i wins if θi > θj. Given the continuous distribution, ties can be ignored. Therefore the expected payoff to player i with type θi from bidding b(θ ′ i) is: U(θi, θ ′ i) = (θi + E[θj | θi > θj]− b(θi))F (θi).

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تاریخ انتشار 2009