Suppose that Alpha Inc, Richardson Industries, and K-Tek are the only three firms interested in a plot of land on the outskirts of town. The lot is being auctioned by a second-price sealed bid auction Alpha values the lot at $16,500, Richardson at $18,000, and K-Tek at $12.500 Each bidding firm's consumer surplus is CS--P it wins the auction and 0 af it loses. The values are private. What is each bidder's optimal bid? Who wins the auction, and what price does that firm pay? Alpha's optimal bid is $. Richardson's optimal bid is S and K-Tek's is (Enter your responses as whole numbers)

Suppose that Alpha Inc, Richardson Industries, and K-Tek are the only three firms interested in a plot of land on the outskirts of town. The lot is being auctioned by a second-price sealed bid auction Alpha values the lot at $16,500, Richardson at $18,000, and K-Tek at $12.500 Each bidding firm's consumer surplus is CS--P it wins the auction and 0 af it loses. The values are private. What is each bidder's optimal bid? Who wins the auction, and what price does that firm pay? Alpha's optimal bid is $. Richardson's optimal bid is S and K-Tek's is (Enter your responses as whole numbers)

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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Suppose that Alpha Inc., Richardson Industries, and K-Tek are the only three firms interested in a plot of land on the outskirts of town. The lot is being auctioned by a second-price sealed-bid auction. Alpha values the lot at $17,000, Richardson at $20,000, and K-Tek at $10,000. Each bidding firm's consumer surplus is CS=v₁ - P if it wins the auction and 0 if it loses. The values are private. What is each bidder's optimal bid? Who wins the auction, and what price does that firm pay? Richardson's optimal bid is $ and K-Tek's is $ Alpha's optimal bid is $ whole numbers.) (Enter your responses as
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You have three tickets to a Celtics game on a night that you are going to be out of town (so the value of unsold tickets is zero to you). There are only four possible buyers of a Celtics ticket. The table below lists the respective reservation prices of these four possible buyers: Customer Reservation Price 1 $25 2 $35 3 $50 4 $60 a) How much revenue can you generate using the English auction mechanism from the sale of the first ticket? [Bids can be made in increments of $1.00] b) How much revenue can you generate using the English auction mechanism from the sale of the second ticket? [Bids can be made in increments of $1.00] c) How much revenue can you generate using the English auction mechanism from the sale of the third ticket? [Bids can be made in increments of $1.00] d) How much total revenue can you generate using the English…
4. An auctioneer holds a second-price auction for two bidders, Ann (A) and Bonnie (B), who have independent private values of the good 0, and e, If a bidder wins, her payoff is her value 0 minus the price she pays, and if she loses, her payoff is 0. The values are independently and identically distributed, but otherwise you don't need to know the specific distributions to solve the problem. Ann and Bonnie's respective strategies are to bid some value b (0.). that is, bid given their privately-known value (type). a. Explain what a second price auction is, who wins given some pair of bids b, and bg. and what the winner pays. b. Why is a strategy where Ann bids above her own value 0, weakly dominated by a strategy where she bids her value? c. Why is a strategy where Ann bids below her own value e, weakly dominated by a A strategy where she bids her value? d. Applying the ideas from (b) and (c) to both Ann and Bonnie, what is the Weakly Dominant Strategy Equilibrium for this game?
- First-Price and Second-Price Auctions - Consider an auction of a single indi- visible object with 5 bidders, 1, 2, 3, 4 and 5, whose personal valuations (willingness to pay) for the object are v₁ = 10, V₂ = 8, 03 7, 04 5 and 5 3. The bidders simultaneously submit their bids and the winner is the one with the highest bid. Suppose that, when the highest bidder is not unique, the bidder with the smallest number (highest valuation) wins. (a) Suppose that this is a second-price auction, where the winner pays the highest bid among those from her opponents, determine whether each of the following bidding profiles is a Nash equilibrium. Explain. (i) (b₁,b2, b3, b4, b5) = (10, 8, 7, 5, 3) (ii) (b1,b2, b3, b4, b5) = (8,8, 0, 0, 0) (iii) (b₁,b2, b3, b4, b5) = (10, 0, 0, 0, 10) (b) Now suppose that this is a first-price auction, where the winner pays their own bid, determine whether each of the bidding profiles above is a Nash equilibrium. Explain. = =
There are 3 bidders with valuations that are independently and uniformly distributed between 0 and 1. In equilibrium, what will Bidder 1 bid in a first-price auction if its valuation is 0.7? Round your answer to two decimal places.
The principle of a Nash Equilibrium can be summarized as "Structure the law so as to remove the impediments to private agreements". True False