By Vijay Krishna

Vijay Krishna’s 2e of Auction Theory improves upon his 2002 bestseller with a brand new bankruptcy on package deal and place auctions in addition to end-of-chapter questions and bankruptcy notes. entire proofs and new fabric approximately collusion supplement Krishna’s skill to bare the elemental evidence of every idea in a method that's transparent, concise, and straightforward to keep on with. With the addition of a options guide and different educating aids, the 2e keeps to function the entrance to appropriate concept for many scholars doing empirical paintings on auctions.

  • Focuses on key public sale forms and serves because the doorway to proper idea for these doing empirical paintings on auctions
  • New bankruptcy on combinatorial auctions and new analyses of theory-informed applications 
  • New chapter-ending workouts and problems of various difficulties support and strengthen key points

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Extra resources for Auction Theory,

Sample text

In the absence of a reserve price, the object will always be sold to the highest bidder and in the symmetric model studied here, that is also the bidder with the highest value. Thus, both the first- and second-price auctions allocate efficiently in the sense that the object ends up in the hands of the person who values it the most. If the seller sets a reserve price r > 0, however, there is a positive probability that the object will remain in the hands of the seller and this is inefficient. This simple observation implies that there may be a trade-off between efficiency and revenue.

1. Suppose that bidders are risk-averse with the same utility function. With symmetric, independent private values, the expected revenue in a first-price auction is greater than that in a second-price auction. Proof. First, notice that risk aversion makes no difference in a second-price auction: it is still a dominant strategy for each bidder to bid his or her value. Thus, in a second-price auction, the expected price is the same as it would be if bidders were risk neutral. Let us now examine a first-price auction.

Directly compute the symmetric equilibrium bidding strategy and the seller’s revenue when the bidders’ values are uniformly distributed on [0, 1]. 2. (Losers-pay auction) Consider a N-bidder losers-pay auction in which the bidder with the highest bid wins the object and pays nothing, while all losing bidders pays their own bids. Bidders’ valuations independently and identically distributed according to F. a. Use the revenue equivalence principle to derive a symmetric equilibrium bidding strategy in the losers-pay auction.

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