A reserve price is a minimum price set by the auctioneer. If no bidder is willing to pay the reserve price, the item is unsold at a profit of $0 for the auctioneer. If only one bidder values the item at or above the reserve price, that bidder pays the reserve price. An auctioneer faces two bidders, each with a value of either $21 or $56, with both values equally probable. Without a reserve price, the second highest bid will be the price paid by the winning bidder. The following table lists the four possible combinations of bidder values. Each combination is equally likely to occur. On the following table, indicate the price paid by the winning bidder with and without the stated reserve price. Bidder 1 Value Bidder 2 Value Probability Price Without Reserve Price with $56 Reserve Price ($) ($) ($) $21 $21 0.25 $21 $56 0.25 $56 $21 0.25 $56 $56 0.25 Without a reserve price, the expected price is _______ . With a reserve price of $56, the expected price is __________ . Thus, the expected price is larger _______ (with or without) the reserve price.
A reserve price is a minimum price set by the auctioneer. If no bidder is willing to pay the reserve price, the item is unsold at a profit of $0 for the auctioneer. If only one bidder values the item at or above the reserve price, that bidder pays the reserve price. An auctioneer faces two bidders, each with a value of either $21 or $56, with both values equally probable. Without a reserve price, the second highest bid will be the price paid by the winning bidder. The following table lists the four possible combinations of bidder values. Each combination is equally likely to occur. On the following table, indicate the price paid by the winning bidder with and without the stated reserve price. Bidder 1 Value Bidder 2 Value Probability Price Without Reserve Price with $56 Reserve Price ($) ($) ($) $21 $21 0.25 $21 $56 0.25 $56 $21 0.25 $56 $56 0.25 Without a reserve price, the expected price is _______ . With a reserve price of $56, the expected price is __________ . Thus, the expected price is larger _______ (with or without) the reserve price.
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter15A: Auction Design And Information Economics
Section: Chapter Questions
Problem 5E
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Question
A reserve price is a minimum price set by the auctioneer. If no bidder is willing to pay the reserve price, the item is unsold at a profit of $0 for the auctioneer. If only one bidder values the item at or above the reserve price, that bidder pays the reserve price. An auctioneer faces two bidders, each with a value of either $21 or $56, with both values equally probable. Without a reserve price, the second highest bid will be the price paid by the winning bidder.
The following table lists the four possible combinations of bidder values. Each combination is equally likely to occur.
On the following table, indicate the price paid by the winning bidder with and without the stated reserve price.
|
Bidder 1 Value
|
Bidder 2 Value
|
Probability
|
Price Without Reserve
|
Price with $56 Reserve Price
|
|---|---|---|---|---|
|
($)
|
($)
|
($)
|
||
| $21 | $21 | 0.25 | ||
| $21 | $56 | 0.25 | ||
| $56 | $21 | 0.25 | ||
| $56 | $56 | 0.25 |
Without a reserve price, the expected price is _______
. With a reserve price of $56, the expected price is __________
. Thus, the expected price is larger _______ (with or without) the reserve price.
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