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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?
A light bulb company knows the lifetime of 10,000 bulbs is normally distributed. The mean lifetime of a bulb is 8 months, and the standard deviation is 1.5 months. Approximately, how many bulbs will last more than 10 months?
the news program for kope the local television station claims to have 40 of the market.nbsp a random sample of 500
If no horizontal line intersects the graph of the function more than once, then the function is one-to-one. Jiwen He, University of Houston Math 1432 What are One-To-One Functions?
A swimming pool is 16 feet wide and has transverse cross-sections which look like: If the pool is being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 2 feet?
explain a rational exponent? how are rational exponents related to radicals? give an example of how an expression with
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
you have 240 feet of fencing to form two adjacent rectangular corrals. each coral has an area of 1000 square feet, find the possible dimensions of each corral.
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest poin..
the owner of a flower shop has 18 delivery vehicles. suppose that 4 of the 18 vehicles have air conditioning to
from a point of observation 10 feet above the top of a 260 ft cliff, the angles of depression of two boats due east of the observer are 42 degrees 10' and 25 degrees 12'. find the distance between the two boats.
A manufacture has been selling 1950 television sets a week at $480 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week.
Identification of the Slope, y-intercept, and x-intercept of the given equation
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