Microeconomics · free preview

Auctions: Bidding as Strategy

Four auction formats, ascending, descending, first-price and second-price, reward different bidding rules, yet under private values they earn the seller the same expected revenue, and common values add the winner's curse.

1. Four ways to sell one guitar

Four ways to sell one guitar

2. Why truth-telling pays in a second-price auction

Why truth-telling pays in a second-price auction

3. Revenue equivalence

Revenue equivalence

4. The winner's curse

The winner's curse

5. The English auction outcome

In the English auction for the guitar, bidders value it at 90, 70, 55, 40 and 25 dollars and bid openly as the price rises. What is the outcome?

6. Shading in a first-price auction

Why is bidding your full 90-dollar value a mistake in a first-price sealed-bid auction?

7. Truthful bidding is dominant where

In which pair of formats does the dominant-strategy logic of bidding exactly your own value apply?

8. Curing the curse

An oil lease has one true value nobody knows, and five firms each drill an independent estimate. Why does the winning bid tend to overpay?

9. The English surplus

In the English auction, the bidder who values the guitar at 90 dollars wins at a price of about 70 dollars. Compute her surplus in dollars, and write the number.

10. The uniform two-bidder bid

In a first-price auction with two bidders whose values are drawn uniformly from 0 to 100, the equilibrium bid is half your value. A bidder values the item at 90 dollars. Compute her bid in dollars, and write the number.

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