Suppose a search engine has two ad slots that it can sell. Slot **a** has a clickthrough rate of 10 and
slot **b** has a clickthrough rate of 5. There are three advertisers who are interested in these slots.
Advertiser **x** values click at 3 per click, advertiser **y** values click at 2 per click, and advertiser **z**
values click at 1 per click.
Based on the above data, answer the given subquestions
Total valuation of socially optimal allocation will be __________
A published solution is not available for this question yet.
Suppose a search engine has two ad slots that it can sell. Slot **a** has a clickthrough rate of 10 and
slot **b** has a clickthrough rate of 5. There are three advertisers who are interested in these slots.
Advertiser **x** values click at 3 per click, advertiser **y** values click at 2 per click, and advertiser **z**
values click at 1 per click.
Based on the above data, answer the given subquestions
VCG price for slot **a** will be __________
A published solution is not available for this question yet.
Suppose a search engine has two ad slots that it can sell. Slot **a** has a clickthrough rate of 10 and
slot **b** has a clickthrough rate of 5. There are three advertisers who are interested in these slots.
Advertiser **x** values click at 3 per click, advertiser **y** values click at 2 per click, and advertiser **z**
values click at 1 per click.
Based on the above data, answer the given subquestions
VCG price for slot **b** will be __________
A published solution is not available for this question yet.
A man dies, leaving an estate worth 500 units. The deceased has two creditors; one’s claim is 400
units, and the other’s claim, 300 units. The division of the estate between them is carried out
according to the contested garment principle.
Based on the above data, answer the given subquestions
Creditor 1 with claim 400 units gets
6406533530611.
350
6406533530612.
300
6406533530613.
200
6406533530614.
250
A published solution is not available for this question yet.
A man dies, leaving an estate worth 500 units. The deceased has two creditors; one’s claim is 400
units, and the other’s claim, 300 units. The division of the estate between them is carried out
according to the contested garment principle.
Based on the above data, answer the given subquestions
Creditor 2 with claim 300 units gets
6406533530615.
150
6406533530616.
300
6406533530617.
200
6406533530618.
250
A published solution is not available for this question yet.
Five bidders with private valuations uniformly distributed between 0 and 1 participate in a sealed
bid first price auction. Assuming that everyone is playing the symmetric equilibrium bidding
strategy answer the given subquestions:
Optimal bid for a bidder with valuation 0.6 will be
6406533530651.
0.4
6406533530652.
0.48
6406533530653.
0.5
6406533530654.
0.55
A published solution is not available for this question yet.
Five bidders with private valuations uniformly distributed between 0 and 1 participate in a sealed
bid first price auction. Assuming that everyone is playing the symmetric equilibrium bidding
strategy answer the given subquestions:
The expected revenue of the seller in this auction scenario will be
6406533530655.
4/5
6406533530656.
3/5
6406533530657.
2/3
6406533530658.
2/5
A published solution is not available for this question yet.
A machine can be in two possible states viz. Good (G) and Bad (B). It is in the Good state 90% of the
time. An item produced by the machine is Defective (D), 1% of the time if it is Good and 10% of the
time if it is Bad.
Based on the above data, answer the given subquestions
What is the probability of the item being defective
6406533530619.
0.009
6406533530620.
0.09
6406533530621.
0.019
6406533530622.
0.19
A published solution is not available for this question yet.
A machine can be in two possible states viz. Good (G) and Bad (B). It is in the Good state 90% of the
time. An item produced by the machine is Defective (D), 1% of the time if it is Good and 10% of the
time if it is Bad.
Based on the above data, answer the given subquestions
What is the probability that the machine is good if the item is defective
6406533530623.
0.047
6406533530624.
0.47
6406533530625.
0.0047
6406533530626.
0.19
A published solution is not available for this question yet.
A cable TV station wants to connect three new customers to its network. The connections to the
network are described in the following tree graph:
Calculate the distribution of the costs among the three players if all three decide to connect to the
network.
Based on the above data, answer the given subquestions
The cost to be paid by player 1 will be __________
A published solution is not available for this question yet.
A cable TV station wants to connect three new customers to its network. The connections to the
network are described in the following tree graph:
Calculate the distribution of the costs among the three players if all three decide to connect to the
network.
Based on the above data, answer the given subquestions
The cost to be paid by player 2 will be __________
A published solution is not available for this question yet.
A cable TV station wants to connect three new customers to its network. The connections to the
network are described in the following tree graph:
Calculate the distribution of the costs among the three players if all three decide to connect to the
network.
Based on the above data, answer the given subquestions
The cost to be paid by player 3 will be __________
A published solution is not available for this question yet.
Suppose 5 numbers are drawn independently from the uniform distribution on the interval [0, 1]
and then sorted from smallest to largest. The expected value of the number in second position on
the list is
6406533530683.
5/6
6406533530684.
2/3
6406533530685.
1/2
6406533530686.
1/3
A published solution is not available for this question yet.
Consider following two statements:
1. Crowd can be wrong even if everyone in the crowd is rational and everyone takes the same
action.
2. Aggregate behaviour of many people with limited information can sometimes produce very
accurate results.
Which statement(s) is (are) true?
6406533530691.
Only 1
6406533530692.
Only 2
6406533530693.
Both
6406533530694.
None
A published solution is not available for this question yet.
A stable matching system is necessarily a system under which everyone is
satisfied.
6406533530696.
A matching system is stable when an unmatched pair may find it beneficial to
deviate from the matching and form their own match.
6406533530697.
A stable matching system is necessarily a system under which everyone is
satisfied & A matching system is stable when an unmatched pair may find it beneficial to deviate
from the matching and form their own match.
6406533530698.
None
A published solution is not available for this question yet.