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Consider second-price sealed bid auction. We assume that seller's value of the item is 0. There are three buyers whose private valuations θi are distributed uniformly on [0, 1]. All buyers simultaneously submit sealed bids bi ≥ 0. The buyer with the highest bid wins and pays the amount of the second-highest bid to the seller. In Bayesian Nash Equilibrium each buyer has s strategy b_i : [0, 1] → [0,∞), where b_ i(θ_ i) is the bid of buyer i's type θ_ i, that maximizes his expected payoff given the strategy of the other buyer.- Find Bayesian Nash Equilibrium.- Is this a truthful mechanism? Why?
Determine what the bank means when it claims 'virtually all' its customers are served in under 10 minutes. What is the proportion of customers served in under 10 minutes?
in triangle abc the measure of angle abc 51 degrees and the altitude ah is congruent to median bm. what is the
Darla wants to plant strawberries in her rectangular garden. If the dimensions of the garden are ' by ' and each plant must be 3 feet away from any other plant or any edge, what's the maximum number of plants she can plant?
if a rectangular prism has a side of 69 square inches and one with 252 square inches and another side with 168 square inches then what is the volume of the box?
How many trees should be planted to maximize the total yield of apples? What is the maximum yield?
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
One angle of a right triangle is 3 times the size of the other one. Remember that a right triangle has a 90 degree angle. Find the other two angles.
Alexamara Marina Group Database: Problem 4 (p. 160): List the first and last names of all owners who have a boat in a 40-foot slip. Use the IN operator in your formulation.
Graph y=sinx + cosx restricted to 0
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
draw and area model demonstrating the product (3x+y)(x+2y). Find the product algebraically. Explain how the algebraic product varifies the area model.
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