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Game Theory · Coalition games & voting power

16 questions · 12 marks · 2 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Game Theory and Strategy

Coalition games & voting power

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.

End Term · 31 Aug 2025 (FN)End Term

Read the passage below, then answer Q1–Q8
A market game has two buyers and one seller. Seller 1 has a watch whose worth for him is ₹200 and he offers it for sale. Players 2 and 3 are two potential buyers who do not own a watch. The worth of watch is ₹280 for one buyer (player 2) and ₹300 for the other buyer (player 3). Each buyer is interested in paying the lowest price for the watch and unwilling to pay more than the watch's worth to him. Describe the game in coalition form and answer the given sub questions.
Q1NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q2NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q3NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q4NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q5NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q6NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q7NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q8NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q9MCQ1 Mark·Choose one option
Asked 3 times Key ↓
In weighted majority game [7; 1, 4, 3, 5]
1. APlayer 1 is null player
2. BPlayer 2 is null player
3. CPlayer 3 is null player
4. DPlayer 4 is null player

End Term · 31 Aug 2025 (AN)End Term

Read the passage below, then answer Q10–Q15
Enter the coalition function for the game [61;40,40,30,10] and answer the given sub-questions:
Q10NAT1 Mark·Write the number
Key ↓
How many symmetric players are in this game: _______________
Your answer:
Q11NAT1 Mark·Write the number
Asked 3 times Key ↓
Which player is the null player in this game? ____________
Your answer:
Q12NAT1 Mark·Write the number
Key ↓
Your answer:
Q13NAT1 Mark·Write the number
Key ↓
Your answer:
Q14NAT1 Mark·Write the number
Key ↓
Your answer:
Q15NAT1 Mark·Write the number
Key ↓
Your answer:
Q16MCQ1 Mark·Choose one option
Asked 3 times Key ↓
In weighted majority game [7; 5, 1, 3, 4]
1. APlayer 1 is null player
2. BPlayer 2 is null player
3. CPlayer 3 is null player
4. DPlayer 4 is null player

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1200

Q20

Q30

Q40

Q50

Q6280

Q7300

Q8300

Q9A

Q103

Q114

Q123

Q133

Q143

Q150

Q16B

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.