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Game Theory and Strategy · Quiz 2 · May 2024

Game Theory and Strategy · Quiz 2 · May 2024

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Question 223 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Suppose one ball is picked from the red majority urn. What is the probability that the ball is blue?
6406532878758.
1/4
6406532878759.
3/4
6406532878760.
1/5
6406532878761.
3/5

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Question 224 MCQ · 2.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
What is the probability that the urn is red-majority if the first student draws a red ball?
6406532878762.
2/5
6406532878763.
3/5
6406532878764.
3/4
6406532878765.
1/4

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Question 225 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Should the first student guess the urn to be blue majority (in continuation to the previous question)?
6406532878766.
Yes
6406532878767.
No

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Question 226 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Now suppose, first three students draw the ball in the sequence (Red, Red, Blue). What is the probability of getting this sequence if the urn is a blue-majority urn?
6406532878768.
3/64
6406532878769.
9/64
6406532878770.
3/16
6406532878771.
9/16

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Question 227 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Now suppose, first three students draw the ball in the sequence (Red, Red, Blue). What is the probability of getting this sequence if the urn is a red-majority urn?
6406532878772.
3/64
6406532878773.
9/64
6406532878774.
3/16
6406532878775.
9/16

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Question 228 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Now suppose, first three students draw the ball in the sequence (Red, Red, Blue). What is the total probability of getting this sequence?
6406532878776.
3/16
6406532878777.
9/32
6406532878778.
9/16
6406532878779.
3/32

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Question 229 MCQ · 1.0 marks

Consider the example of cascade discussed in the lecture but with a modification that now the urn is containing either 3 blue balls and 1 red ball or 3 red balls and 1 blue ball with equal probability. That simply means that the urn is equally likely to be blue-majority urn or red-majority urn. We assume everyone hears what the previous individuals report and get their own private signal by randomly drawing one ball from the urn. Based on the above data, answer the given subquestions.
Now suppose, first three students draw the ball in the sequence (Red, Red, Blue). What is the probability of urn being red-majority in this scenario?
6406532878780.
3/16
6406532878781.
1/4
6406532878782.
3/64
6406532878783.
3/4

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Question 230 MCQ · 1.0 marks

Three sweets are running in an election for the most popular sweet: Gulab jamun (G), Malpua (M), and Balushahi (B). The preference schedule is shown below
Source diagram or notation
Which candidate wins under the plurality method?
6406532878784.
M
6406532878785.
B
6406532878786.
G
6406532878787.
Cannot be determined

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Question 231 MCQ · 2.0 marks

Suppose there are four alternatives, named A, B, C, and D. There are three voters who have the following individual rankings:
Source diagram or notation
Based on the above data, answer the given subquestions.
Using Borda count, the group ranking will be
6406532878788.Source diagram or notation
6406532878789.Source diagram or notation
6406532878790.Source diagram or notation
6406532878791.Source diagram or notation

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Question 232 MCQ · 1.0 marks

Suppose there are four alternatives, named A, B, C, and D. There are three voters who have the following individual rankings:
Source diagram or notation
Based on the above data, answer the given subquestions.
Consider two statements about Borda count: I: Borda Count (ignoring ties) always produces a complete, transitive ranking for a set of alternatives. II: Outcome in Borda count depends on the presence of alternatives that seem “irrelevant”. Choose the correct alternative about these statements:
6406532878792.
Only I is true
6406532878793.
Only II is true
6406532878794.
None is true
6406532878795.
Both I and II are true

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Question 233 SHORT_TEXT · 0.5 marks

Find a stable matching system for the given preference structure using the Gale–Shapley algorithm, when the men propose to the women:
Source diagram or notation
In a stable matching when men propose to women Based on the above data, answer the given subquestions.
A will be matched with …………………

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Question 234 SHORT_TEXT · 0.5 marks

Find a stable matching system for the given preference structure using the Gale–Shapley algorithm, when the men propose to the women:
Source diagram or notation
In a stable matching when men propose to women Based on the above data, answer the given subquestions.
B will be matched with ………………….

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Question 235 SHORT_TEXT · 0.5 marks

Find a stable matching system for the given preference structure using the Gale–Shapley algorithm, when the men propose to the women:
Source diagram or notation
In a stable matching when men propose to women Based on the above data, answer the given subquestions.
C will be matched with ………………….

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Question 236 SHORT_TEXT · 0.5 marks

Find a stable matching system for the given preference structure using the Gale–Shapley algorithm, when the men propose to the women:
Source diagram or notation
In a stable matching when men propose to women Based on the above data, answer the given subquestions.
D will be matched with …………………..

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Question 237 MCQ · 1.0 marks

Consider the following prisoners’ dilemma game and answer the given subquestions.
Source diagram or notation
Unique NE of this game is
6406532878828.
(Defect, Defect)
6406532878829.
(Cooperate, Cooperate)
6406532878830.
(Defect, Defect) and (Cooperate, Cooperate)
6406532878831.
None of these

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Question 238 MCQ · 1.0 marks

Consider the following prisoners’ dilemma game and answer the given subquestions.
Source diagram or notation
Suppose, this game is repeatedly played finite times
6406532878832.
In the Last Period Cooperate is a dominant strategy irrespective of history of the game
6406532878833.
In the Last Period Defect is a dominant strategy irrespective of history of the game
6406532878834.
In the Last Period Cooperate is a dominant strategy for a particular game history
6406532878835.
In the Last Period Defect is a dominant strategy for a particular game history

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Question 239 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of a = ………….

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Question 240 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of b = …………. **NOTE:** Enter your answer in one decimal place.

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Question 241 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of c = …………. **NOTE:** Enter your answer in one decimal place.

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Question 242 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of d = ………….

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Question 243 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of p = …………..

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Question 244 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of q = ………… **NOTE:** Enter your answer in one decimal place.

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Question 245 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of r = ………… **NOTE:** Enter your answer in one decimal place.

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Question 246 NAT · 0.5 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
Find out the value of t = …………….

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Question 247 MCQ · 1.0 marks

Source diagram or notation
Based on the above data, answer the given subquestions.
What is the Bayesian Nash equilibrium in this game?
6406532878808.
(S, (S, B))
6406532878809.
(B, (B, S))
6406532878810.
(S, (B, S))
6406532878811.
(B, (B, B))

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Question 248 MCQ · 1.0 marks

Consider the following strategic games and answer the given subquestions.
Source diagram or notation
NE of the Game 1 is (are)
6406532878812.
(X, X)
6406532878813.
(Y, Y)
6406532878814.
(X, X) and (Y,Y)
6406532878815.
None of these

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Question 249 MCQ · 1.0 marks

Consider the following strategic games and answer the given subquestions.
Source diagram or notation
NE of the Game 2 is (are)
6406532878816.
(X, X)
6406532878817.
(Y, Y)
6406532878818.
(X, X) and (Y,Y)
6406532878819.
None of these

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Question 250 MCQ · 1.0 marks

Consider the following strategic games and answer the given subquestions.
Source diagram or notation
Evolutionary Stable Strategy (ESS) in Game 1 is (are)
6406532878820.
X
6406532878821.
Y
6406532878822.
X and Y
6406532878823.
None of these

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Question 251 MCQ · 1.0 marks

Consider the following strategic games and answer the given subquestions.
Source diagram or notation
Evolutionary Stable Strategy (ESS) in Game 2 is (are)
6406532878824.
X
6406532878825.
Y
6406532878826.
X and Y
6406532878827.
None of these       **Managerial Economics** **Section Id :** 64065361121 **Section Number :** 15 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 10 **Number of Questions to be attempted :** 10 **Section Marks :** 25 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** No **Clear Response :** **Section Maximum Duration :** 0 **Section Minimum Duration :** 0 **Section Time In :** Minutes **Maximum Instruction Time :** 0

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