Question

In: Economics

We consider a GSP auction with four bidders, A, B, C and D. Since there are...

We consider a GSP auction with four bidders, A, B, C and D. Since there are four bidders only the three highest bidders will be displayed). The click frequency of the first, second and third positions are 100 clicks/hour, 75 clicks/hour and 35 clicks/hour, respectively. Bidders’valuation per click are vA = 10, vB = 6, vC = 4, vD = 3. Bidder B, C and D bid 5, 3 and 1, respectively.

What is the optimal bid for A?

Solutions

Expert Solution

The generalized second-price auction (GSP) is a non-truthful auction mechanism for multiple items. Each bidder places a bid. The highest bidder gets the first slot, the second-highest, the second slot and so on, but the highest bidder pays the price bid by the second-highest bidder, the second-highest pays the price bid by the third-highest, and so on.

We say the utility of bidder who is allocated to the slot is


Related Solutions

Consider a private value auction with 2 bidders. The auction is carried out as a second...
Consider a private value auction with 2 bidders. The auction is carried out as a second price sealed bid auction where in case of a tie between the bidders, the winner is selected by a coin toss. The seller has valuation of the good of zero and will accept any bid at or greater than zero. Each bidder knows his/her own valuation, v, and does not know the valuation of the other bidder. It is common knowledge that the bidder...
Consider a second price auction for a single item with two bidders. Suppose the bidders have...
Consider a second price auction for a single item with two bidders. Suppose the bidders have independent private values, uniformly drawn in the interval [0, 1]. Suppose the seller sets a reserve price p = 0.5; that is, only bids above p = 0.5 can win. If a bidder bids above p and the other bids below p, then the first bidder wins and pays a price p. If both bid above p, then the highest bidder wins and pays...
There are four urns, which we label A, B, C, and D, and each of these...
There are four urns, which we label A, B, C, and D, and each of these urns contains some white balls and some black balls, as specified below.•UrnAhas3white balls and2black balls•UrnBhas2white balls and6black balls•UrnChas3white balls and6black balls•UrnDhas5white balls and7black balls one of the urns is chosen at random, and then one of the balls is selected from the chosen urn. (a) What is the probability that urnAis chosen, and then a white ball is chosen from thaturn? (b) What is...
Consider a second price auction with 2 bidders, 1 and 2, who have values for the...
Consider a second price auction with 2 bidders, 1 and 2, who have values for the good of 20 and 80, respectively. Each knows what the other bidder’s valuation is so there is no uncertainty. (a) Show that choosing a bid equal to one’s valuation is a weakly dominant strategy for bidder 1. (b) Show that if each bidder plays a weakly dominant strategy, the bidder with the highest value always wins the good (c) Is it a Nash equilibrium...
Assume that there are 10 risk-neutral bidders participating in an independent private value auction. The bidders...
Assume that there are 10 risk-neutral bidders participating in an independent private value auction. The bidders assume that item’s value is normally distributed between $10,000 and $30,000. Determine the optimal bidding strategy for each of the following options if you value the item at $20000. 3.1 First-price, sealed-bid auction 3.2 Dutch auction 3.3 Second-price, sealed-bid auction 3.4 English auction
Consider a project consisting of four activities A, B, C, and D. The following are constraints...
Consider a project consisting of four activities A, B, C, and D. The following are constraints within which the project has to be conducted • A and B, the first activities of the project, can be started simultaneously. • C can be started only after A is completed. • D can be started only after B is completed Suppose the activity times for the activities are A = 4 weeks, B = 3 weeks, C = 2 weeks, D =...
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?
MIPS a) Consider the C statement: a = (b + d) + (b - c) +...
MIPS a) Consider the C statement: a = (b + d) + (b - c) + (c + d) Which of the following assembly instructions can be used to replicate all or part of this statement in MIPS, without changing or reducing the equation. Assume variables a, b, c, and d are assigned to registers $s0, $s1, $s2 and $s3 respectively. 1. sub $t0, $s2, $s3 2. sub $t0, $s0, $s3 3. sub $t1, $s1, $s2 4. sub $t2, $s1,...
The five bidders in the Dutch auction through a black-box tender within four business days were...
The five bidders in the Dutch auction through a black-box tender within four business days were A (who tendered for 25,000 shares at $90 each on 6 May 2019), B (who tendered for 45,000 shares at $92 each on 7 May 2019), C (who tendered for 20,000 shares at $89 each on 9 May 2019), D (who tendered for 40,000 shares at $89 each on 9 May 2019), and E (who tendered for 30,000 shares at $89 each on 8...
Consider an experiment with four independent variables: A, B, C, and D. Factor A has 3...
Consider an experiment with four independent variables: A, B, C, and D. Factor A has 3 levels and is a between-subjects variable; Factor B has 2 levels and is a within-subjects variable; Factor C has 2 levels and is a between-subjects variable; Factor D has 3 levels and is a within-subjects variable. 1. How many “cells” or “conditions” or “groups” are there in this experiment? 2. If you want to test 10 participants per cell, how many TOTAL participants will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT