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.
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- A cool kid is willing to rename himself for a profit. He decides to auctionoff the naming right. Two bidders show interest. Their valuations for thenaming right are independently and uniformly distributed over [0,100].There are several possible ideas to design the auction. The auction runs as follows. Both bidders are invited to the same room; an auctioneer will start the auction with an initial price 0, and increase it by $1 every minute. The bidders are not allowed to say anything during the process, but they can walk out of the room at any moment. If one bidder walks out of the room when the price increases to p (the bidder does not need to pay), the remaining bidder will be awarded the naming right for a price of p. If both walk out when the price reaches p, the naming right is not assigned andthe two bidders do not need to pay. What should the bidders do? Explain your answer.Your company is bidding for mineral rights to a tract of land for drilling oil. Based on your geological survey reports, your valuation of the mineral rights is $38 million. You believe the distribution of bids will be uniform for the mineral rights, with a high value of $45 million and a low value of $20 million. In a second-price sealed-bid auction, how much should you for bid if there are 5 bidders? a. $41.40 Million O b. $45.00 Million Oc. $38.00 Million O d. $34.40 MillionA cool kid is willing to rename himself for a profit. He decides to auctionoff the naming right. Two bidders show interest. Their valuations for thenaming right are independently and uniformly distributed over [0,100].There are several possible ideas to design the auction. a) The auction runs as follows. Both bidders are invited to the sameroom; an auctioneer will start the auction with an initial price 0, and increase it by $1 every minute. The bidders are not allowed to say anything during the process, but they can walk out of the room at any moment. If one bidder walks out of the room when the price increases to p (the bidder does not need to pay), the remaining bidder will be awarded the naming right for a price of p. If both walk out when the price reaches p, the naming right is not assigned and the two bidders do not need to pay. What should the bidders do? Explain your answer. (b) Both bidders are invited to submit their bids covertly (bids are non-negative real numbers).…
- 10 Use the expected value information to illustrate how having more bidders in an oral auction will likely result in a higher winning bid.A cool kid is willing to rename himself for a profit. He decides to auctionoff the naming right. Two bidders show interest. Their valuations for thenaming right are independently and uniformly distributed over [0;100]:There are several possible ideas to design the auction. The auction runs as follows. Both bidders are invited to the sameroom; an auctioneer will start the auction with an initial price 0 and increase it by $1 every minute. The bidders are not allowed to say anything during the process, but they can walk out of the room at any moment. If one bidder walks out of the room when the price increases to p(the bidder does not need to pay), the remaining bidder will be awarded the naming right for a price of p. If both walk out when the price reaches p, the naming right is not assigned and the two bidders do not need to pay. What should the bidders do? Explain your answer.What amount does each bidder bid in the Bayesian Nash equilibrium of a 2nd price auction? O The expected value of the second highest bidder. One half of the expected value of the second highest bidder. Their own value. One half of their own value.
- There are 4 bidders with valuations that are independently and uniformly distributed between 0 and 1. In equilibrium, what is the probability that the highest bid is less than 0.2 in a first-price auction? Round your answer to two decimal places.4. A uniform price auction is an auction where all the winners pay the same price. A k-th price auction is an auction where the price paid by the winner(s) is the k-th highest bid. We run a 3rd price, uniform price auction for two items, so the winners are the two bidders with the highest bid. There are 4 bidders, A, B, C and D, and they bid respectively $10, $9, $8 and $12. (A) Bidders A and B win the auction and pay $9. (B) Bidders A and D win the auction and pay $9. (C) Bidders B and D win the auction and pay $10. (D) Bidders B and C win the auction and pay $8.1) What are the Nash equilibria? Which one is unreasonable/non-credible threat? 2) What are the subgame perfect Nash equilibria? Does SPNE concept eliminate the unreasonable Nash equilibrium?
- 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 0g 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 b0), that is, bid given their privately-known value (type). e. Suppose the good had one true value for both bidders equal to the average of 0, and e, (signals that are still i.i.d.); hence, the good's true value has a common component. Suppose Ann knows Bonnie is going to bid her own evaluation 0, no matter what, but like normal, Ann doesn't know 0g. Explain why bidding 0, is now a strictly dominated strategy for Ann.2. Consider a first-price sealed-bid auction with known valuations. There is one object for sale and there are two bidders. The bidders' valuations are commonly known: One bidder has valuation 5 for the object. The other bidder has valuation 10 for the object. The rules of the auction are as follows: The bidders submit bids simultaneously and indepen- dently. Only integer bids are permitted, i.e., allowable bids are 0, 1, 2, .. with the highest bid is equally likely to be declared the winner (standard tie breaking). The winner gets the object and pays her bid. Each of the bidders (a) Find each bidder's best reply function. (b) Find all Nash equilibria. (c) Are any of the Nash equilibria strict?How many Nash equilibria does this game have? hand written plzz
