You are a bidder in an independent private auction, and you value the object at $2000. Each bidder assumes that the valuations are uniformly distributed between $1000 and $5000. Determine your optimal bidding strategy in a first-price sealed bid auction when the total number of bidders are: 2, 10, and 100.
Total value of object = $2000
Lowest possible bidding = $1000
Highest possible bidding = $5000
Optimum bidding strategy
Optimum seal bid = Lowest possible valuation would be = $1000
Maximum value we can give = $2000
Maximum value - [ ( Maximum value - Lowest bid price ) No of bidders ]
When there are 2 Bidders = $2000 - [( $2000 - $1000 ) / 2] = $1500
When there are 10 Bidders = $2000 - [ ( $2000 - $1000) / 10 ] = $1900
When there are 100 Bidders = $2000 - [ ( $2000 - $1000 ) / 100 ] = $1990
You are a bidder in an independent private auction, and you value the object at $2000. Each bidder assumes that the valuations are uniformly distributed between $1000 and $5000. Determine your optimal...
You are a bidder in an independent private auction, and you value the object at $2000. Each bidder assumes that the valuations are uniformly distributed between $1000 and $5000. Determine your optimal bidding strategy in a first-price sealed bid auction when the total number of bidders are: 2, 10, and 100.
Suppose you are a bidder in a first-price sealed-bid auction for a single object, where players submit bids simultaneously and the player who bid the highest wins the object and must pay his/her bid. Assume there are two other bidders, so this is a three-player game. You do not observe the valuations of the other bidders, but assume that you believe their valuations are identically and independently distributed according to a uniform distribution on the interval from 0 to 20....
3.6. Consider a first-price, sealed-bid auction in which the bid- ders' valuations are independently and uniformly distributed on (0,1). Show that if there are n bidders, then the strategy of bid- ding (n-1)/n times one's valuation is a symmetric Bayesian Nash equilibrium of this auction.
Helpme solving Bayes-Nash equilibrium problem 5. Consider a first price auction (with independent private values) where there are two bidders, A and B. There are two possible types of bidders, a bidder with a 60 with probability 0.5 and 100 with probability 0.5. Bids can come only in increments of 10. Consider the following strategy profile: "Each bidder bids 50 if the valuation is 60 and bids 70 if the valuation is 100." Is this strategy pair a Bayes-Nash equilibrium?...
PT 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...
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...
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...
usion (24 points) Two firms are playing a repeated Bertrand game infinitely, each with the same marginal cost 100. The market demand function is P-400-Q. The firm who charges the lower price wins the whole market. When both firms charge the same price, each gets 1/2 of the total market. I. Coll A. (6 points) What price will they choose in the stage (only one period) Nash equilibrium? What price will they choose if in the stage game (only one...