How can a second-highest sealed-bid ascending-price auction design diminish the “winner’s curse” and reduce the strategic underbidding that arises in highestwins- and-pays typical ascending-price auctions with sealed bids?
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- Two firms bid for a contract to build a university building. Their construction costs are independent and uniformly drawn from [0, 1]. Both bidders submit their bids si- multaneously. The winner is the bidder who submits a lowest bid. Tie-breaking rule is random. This kind of bidding game is called "reverse auction" because the bidders bid for the right to provide a service and the winner is paid for the service. The FCC in 2017 has adopted similar auctions designed to repurpose spectrum for new uses. (a) In the first auction, the winner gets paid the loser's bid. For example, if the winner's cost is 0.5, his bid is 0.56, and the loser's bid is 0.6, then the winner gets the contract and the university pays the winner 0.6. The winner's net profit from the contract is 0.6-0.5 = 0.1. Solve for a Bayesian Nash equilibrium of this auction. What is the equilibrium bid of a firm bid if his cost is actually 0.5? (b) In the second auction, the winner gets paid the his/her own winning bid. For…Consider a sealed-bid auction in which the seller draws one of the N bids at random. The buyer whose bid was drawn wins the auction and pays the amount bid. Assume that buyer valuations follow a uniform(0,1) distribution. 1. What is the symmetric equilibrium bidding strategy b(v)?2. What is the seller’s expected revenue?3. Why doesn’t this auction pay the seller the same revenue as the four standard auctions? That is, why doesn’t the revenue equivalence theorem apply here?Two firms bid for a contract to build a university building. Their construction costs are independent and uniformly drawn from [0,1]: Both bidders submit their bids si- multaneously. The winner is the bidder who submits a lowest bid. Tie-breaking rule is random. This kind of bidding game is called i'reverse auction' because the bidders bid for the right to provide a service and the winner is paid for the service. The FCC in 2017 has adopted similar auctions designed to repurpose spectrum for new uses. (a) In the first auction, the winner gets paid the loser's bid. For example, if the winner's cost is 0.5, his bid is 0.56, and the loserís bid is 0.6, then the winner gets the contract and the university pays the winner 0.6. The winner's net profit from the contract is 0.6-0.5 = 0.1. Solve for a Bayesian Nash equilibrium of this auction. What is the equilibrium bid of a firm bid if his cost is actually 0.5? (b) In the second auction, the winner gets paid the his/her own winning…
- The FCC has hired you as a consultant to design an auction to sell wireless spectrum rights. The FCC indicates that its goal of using auctions to sell these spectrum rights is to generate revenue. Since most bidders are large telecommunications companies, you rationally surmise that all participants in the auction are risk neutral. Which auction type—first-price, second-price, English, or Dutch—would you recommend if all bidders value spectrum rights identically but have different estimates of the true underlying value of spectrum rights? ExplainCPT incorporated is a local manufacturer of conveyor systems. Last year, CPT sold over $2 million worth of conveyor systems that netted the company $100,000 in profits. Raw materials and labor are CPT’s biggest expenses. Spending on structural steel alone amounted to over $500,000, or 25 percent of total sales. In an effort to reduce costs, CPT now uses an online procurement procedure that is best described as a first-price, sealed-bid auction. The bidders in these auctions utilize the steel for a wide variety of purposes, ranging from art to skyscrapers. This suggests that bidders value the steel independently, although it is perceived that bidder valuations are evenly distributed between $8,000 and $27,000. You are the purchasing manager at CPT and are bidding on three tons of six-inch hot-rolled channel steel against 4 other bidders. Your company values the three tons of channel steel at $19,000. What is your optimal bid?Q3 Revenue equivalence Consider an all-pay, sealed-bid auction where the item goes to the highest bidder and all of the buyers pay what they bid. Assume that buyer valuations follow a uniform(0,1) distribution. Use the revenue equivalence theorem to find the symmetric equilibrium bidding strategy b(v). Show the bidding function b(v) and your work in deriving it.
- Is the following statement true? "5 bidders with private values uniformly distributed between 0 and 1 enter a 1st price auction. Assuming that everyone is playing the symmetric equilibrium bidding strategy, the optimal bid for a bidder who makes a draw of 0.75 is 0.7."In a first-price auction, bidding one’s valuation weakly dominates bidding any higher real numberYou are a bidder in an independent private values auction, and you value the object at $4,500. Each bidder perceives that valuations are uniformly distributed between $1,000 and $10,000. Determine your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is: a. 2 bidders.Bid: $ b. 10 bidders.Bid: $ c. 100 bidders.Bid: $
- CPT Inc. is a local manufacturer of conveyor systems. Last year, CPT sold over $2 million worth of conveyor systems that netted the company $100,000 in profits. Raw materials and labor are CPT’s biggest expenses. Spending on structural steel alone amounted to over $500,000, or 25 percent of total sales. In an effort to reduce costs, CPT now uses an online procurement procedure that is best described as a first-price, sealed-bid auction. The bidders in these auctions utilize the steel for a wide variety of purposes, ranging from art to skyscrapers. This suggests that bidders value the steel independently, although it is perceived that bidder valuations are evenly distributed between $4,000 and $21,000. You are the purchasing manager at CPT and are bidding on three tons of six-inch hot-rolled channel steel against 5 other bidders. Your company values the three tons of channel steel at $12,000. What is your optimal bid? Instruction: Enter your response rounded to the nearest penny (two…CPT Inc. is a local manufacturer of conveyor systems. Last year, CPT sold over $2 million worth of conveyor systems that netted the company $100,000 in profits. Raw materials and labor are CPT’s biggest expenses. Spending on structural steel alone amounted to over $500,000, or 25 percent of total sales. In an effort to reduce costs, CPT now uses an online procurement procedure that is best described as a first-price, sealed-bid auction. The bidders in these auctions utilize the steel for a wide variety of purposes, ranging from art to skyscrapers. This suggests that bidders value the steel independently, although it is perceived that bidder valuations are evenly distributed between $7,000 and $23,000. You are the purchasing manager at CPT and are bidding on three tons of six-inch hot-rolled channel steel against 5 other bidders. Your company values the three tons of channel steel at $12,000. What is your optimal bid?CPT Inc. is a local manufacturer of conveyor systems. Last year, CPT sold over $2 million worth of conveyor systems that netted the company $100,000 in profits. Raw materials and labor are CPT’s biggest expenses. Spending on structural steel alone amounted to over $500,000, or 25 percent of total sales. In an effort to reduce costs, CPT now uses an online procurement procedure that is best described as a first-price, sealed-bid auction. The bidders in these auctions utilize the steel for a wide variety of purposes, ranging from art to skyscrapers. This suggests that bidders value the steel independently, although it is perceived that bidder valuations are evenly distributed between $8,000 and $25,000. You are the purchasing manager at CPT and are bidding on three tons of six-inch hot-rolled channel steel against four other bidders. Your company values the three tons of channel steel at $16,000. What is your optimal bid?