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Game Theory · Best responses in continuous games

12 questions · 17 marks · 4 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Game Theory and Strategy

Best responses in continuous games

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Read the passage below, then answer Q1–Q2
Q1MCQ2 Marks·Choose one option
Asked 4 times Key ↓
1. A
2. B
3. C
4. D
Q2MCQ2 Marks·Choose one option
Key ↓
Choose the incorrect statement
1. AThis game is a symmetric game
2. BThis game has a symmetric Nash equilibrium
3. CUnder the Nash equilibrium each player chooses P=15
4. DThis game has unique Nash equilibrium

End Term · 31 Aug 2025 (FN)End Term

Read the passage below, then answer Q3–Q4
Based on the above data, answer the given subquestions.
Q3NAT2 Marks·Write the number
Asked 4 times Key ↓
What is the best response of roommate 2 if roommate 1 chooses t_1 = 0? t_2 =________________
Your answer:
Q4NAT2 Marks·Write the number
Asked 3 times Key ↓
Your answer:

End Term · 31 Aug 2025 (AN)End Term

Read the passage below, then answer Q5–Q7
Based on the above data, answer the given subquestions.
Q5NAT2 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q6NAT1 Mark·Write the number
Asked 3 times Key ↓
Your answer:
Q7NAT1 Mark·Write the number
Asked 2 times Key ↓
Your answer:

Quiz 2 · 3 Aug 2025 (AN)Quiz 2

Read the passage below, then answer Q8–Q12
Each one of two political parties can choose to buy time on commercial radio shows to broadcast negative ad campaigns against their rival. These choices are made simultaneously. Due to government regulation, it is forbidden to buy more than 2 hours of negative campaign time, so that each party cannot choose an amount of negative campaigning above 2 hours. Given a pair of choices (a_1,a_2), the payoff of party i is given by the following function: v_i (a_1,a_2) = a_i − 2a_j + a_ia_j − (a_i)^2. Write the normal form representation of this game and answer the given sub-questions.
Q8MCQ1 Mark·Choose one option
Asked 4 times Key ↓
If player 1 chooses 2 hours as his action, the best response of player 2 will be
1. A1.5
2. B1
3. C1.25
4. D0
Q9MCQ1 Mark·Choose one option
Asked 3 times Key ↓
How much negative campaign time will each player choose under a symmetric and unique Nash equilibrium?
1. A1.5
2. B1
3. C1.25
4. D0
Q10MCQ1 Mark·Choose one option
Asked 2 times Key ↓
Equilibrium payoff of each player will be
1. A-1.5
2. B1
3. C-1
4. D0
Q11NAT1 Mark·Write the number
Key ↓
If the parties could sign a binding agreement on how much to campaign, what levels would they choose? a_1 = _____________
Your answer:
Q12NAT1 Mark·Write the number
Key ↓
If the parties could sign a binding agreement on how much to campaign, what levels would they choose? a_2 = _____________
Your answer:

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1C

Q2C

Q35

Q410

Q550

Q666.5 to 67

Q74444

Q8A

Q9B

Q10C

Q110

Q120

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.