Microeconomics, Student Value Edition (2nd Edition)
2nd Edition
ISBN: 9780134461786
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Chapter 17, Problem 4Q
To determine
Dominant strategy in an English auction.
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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?
For the game given, find all Nash equilibria.
Use the expected value information to illustrate how having more bidders in an oral auction will likely result in a higher winning bid.
Chapter 17 Solutions
Microeconomics, Student Value Edition (2nd Edition)
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- Suppose there is a second price sealed bid auction in which the players have the following values: v1=15, v2=4, v3=6, v4=8, v5=10, v6=6. In the symmetric equilibrium, what bid will bidder 4 submit? a. 10 b. 15 c. 4 d. 8arrow_forwardIn a first-price auction, bidding one’s valuation weakly dominates bidding any higher real numberarrow_forwardFind all Nash equilibria in the next gamearrow_forward
- Consider a Common Value auction with two bidders who both receive a signal X that is uniformly distributed between 0 and 1. The (common) value V of the good the players are bidding for is the average of the two signals, i.e. V = (X1+X2)/2. the symmetric Nash equilibrium bidding strategy for the second-price sealed-bid auction assuming that players are risk-neutral and have standard selfish preferences. Furthermore, you may assume that the other bidder is following a linear bidding strategy. Make sure to explain your notation and the steps you take to derive the result.arrow_forwardFind all Nash equilibria for the player 1 and player 2 of the following game with vNM preferences:arrow_forwardWhat is the secure strategy for player B in the game presented in Tablearrow_forward
- The Kidnapping game from the film Ransom, which is reproduced here. Solve for all subgame perfect Nash equilibria.arrow_forwardBurger Doodle, the incumbent firm, wishes to set a limit price of $8 (rather than the profit-maximizing price of $12) to prevent Designer Burger from entering its profitable market. The game tree above shows the payoffs for various decisions. Burger Doodle makes its pricing decision, then Designer Burger decides whether to enter or stay out of the market. If Designer Burger chooses to enter the market, then Burger Doodle may or may not decide to accommodate Designer’s entry by changing its initial price to the Nash equilibrium price of $10. If Burger Doodle canNOT make a credible commitment to maintain its initial price should Designer Burger decide to enter the market, then Burger Doodle will set price equal to $________ at decision node 1 and the outcome _____________(is, is not) a Nash equilibrium.arrow_forwardHello, 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.arrow_forward
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