Microeconomics
11th Edition
ISBN: 9781260507140
Author: David C. Colander
Publisher: McGraw Hill Education
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Question
Chapter 20.1, Problem 8Q
To determine
The difference between Vickrey auction and standard sealed-bid auction.
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Hello, please help me to solve this question in Game Theory. Thanks in advance!Consider a first price sealed-bid auction of an object with two bidders. Each bidder i’s valuation of the object is vi, which is known to both bidders. The auction rules are that each player submits a bid in a sealed envelope. The envelopes are then opened, and the bidder who has submitted the highest bid gets the object and pays the auctioneer the amount of his bid. If the bidders submit the same bid, each gets the object with probability 0.5. Bids must be integers.
Find a Nash equilibrium for this game and show whether it is unique.
Discrete All-Pay Auction: In Section 6.1.4 we introduced a version of an all-
pay auction that worked as follows: Each bidder submits a bid. The highest
bidder gets the good, but all bidders pay their bids. Consider an auction in
which player 1 values the item at 3 while player 2 values the item at 5. Each
player can bid either 0, 1, or 2. If player i bids more than player j then i wins
the good and both pay. If both players bid the same amount then a coin is
tossed to determine who gets the good, but again both pay.
a. Write down the game in matrix form. Which strategies survive IESDS?
b. Find the Nash equilibria for this game.
What is Revenue Equivalence Theorem for the standard auction types?
Chapter 20 Solutions
Microeconomics
Ch. 20.1 - Prob. 1QCh. 20.1 - Prob. 2QCh. 20.1 - Prob. 3QCh. 20.1 - Prob. 4QCh. 20.1 - Prob. 5QCh. 20.1 - Prob. 6QCh. 20.1 - Prob. 7QCh. 20.1 - Prob. 8QCh. 20.1 - Prob. 9QCh. 20.1 - Prob. 10Q
Ch. 20.A - Netflix and Hulu each expects profit to rise by...Ch. 20.A - Prob. 2QECh. 20 - Prob. 1QECh. 20 - Prob. 2QECh. 20 - Prob. 3QECh. 20 - Prob. 4QECh. 20 - Prob. 5QECh. 20 - Prob. 6QECh. 20 - Prob. 7QECh. 20 - Prob. 8QECh. 20 - Prob. 9QECh. 20 - Prob. 10QECh. 20 - Prob. 11QECh. 20 - Prob. 12QECh. 20 - Prob. 13QECh. 20 - Prob. 14QECh. 20 - Prob. 15QECh. 20 - Prob. 16QECh. 20 - Prob. 1QAPCh. 20 - Prob. 2QAPCh. 20 - Prob. 3QAPCh. 20 - Prob. 4QAPCh. 20 - Prob. 5QAPCh. 20 - Prob. 6QAPCh. 20 - Prob. 1IPCh. 20 - Prob. 2IPCh. 20 - Prob. 3IPCh. 20 - Prob. 4IPCh. 20 - Prob. 5IPCh. 20 - Prob. 6IPCh. 20 - Prob. 7IP
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- “While auctions are appealing in theory, the challenges of auction design in practice are insurmountable” discussarrow_forwardHow to solve this question? Consider an antique auction where bidders have independent private values. There are two bidders, each of whom perceives that valuations are uniformly distributed between $100 and $1,000. One of the bidders is Sue, who knows her own valuation is $200. What is Sue's optimal bidding strategy in a Dutch auction?arrow_forwardNonearrow_forward
- Consider the following game: Sarah R S T Peter X 9, 6 4, 4 6, -3 Y 6, 6 7, 6 2, 2 Z 9, 7 1, 5 6, 7 How many (pure strategy) Nash equilibria does this game have?arrow_forwardQuestion is in the attachment section. Thank you in advance for your answer.arrow_forwardConsider the following situation: five individuals are participating in an auction for an old bicycle used by a famous cyclist. The table below provides the bidders' valuations of the cycle. The auctioneer starts the bid at an offer price far above the bidders' values and lowers the price in increments until one of the bidders accepts the offer. Bidder Value ($) Roberto 750 Claudia 700 Mario 650 Bradley 600 Michelle 550 What is the optimal strategy of each player in this case? Who will win the auction if each bidder places his or her optimal bid? If Claudia wins the auction, how much surplus will she earn?arrow_forward
- Consider a Vickery auction. There are N bidders, each of them values the object £vi, with i = 1…N. Each bidder can submit a bid in a sealed envelope. Once all the bids have been made, the envelopes are opened. The winner of the auction is the bidder who made the highest bid, however, s/he pays the second-highest bid. What are the weakly dominant strategies in this game? Is there only one?arrow_forward7.arrow_forwardplease if you can teach explainarrow_forward
- What is the unique Nash equilibirum in mixed strategies for the above question?arrow_forwardHow many strategies does a player have in the repeated Prisoner's Dilemma Game with horizion 2 ? How many strategies does a player have in the repeated Prisoner's Dilemma Game with horizion 3 ?arrow_forwardA large group of players each guesses a number between 0 and 300. The winner is the person whose number is closest to three-fifth of the average guess. What is the Nash equilibrium? Will it be observed? What do you expect for the outcome of this game with next year's 203 class? (Considering that they have similar sophistication to your class but they have not covered game theory yet.)arrow_forward
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