Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Game Theory and Strategy
Shapley value, cost sharing, bankruptcy
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- 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–Q4
Calculate the Shapley value of the following game using the procedure for dissolving a partnership
Based on the above data, answer the given subquestions.
Q1NAT1.5 Marks·Write the numberS_1 = ________________
Your answer:- Q2NAT1.5 Marks·Write the number
S_2 = ________________
Your answer: - Q3NAT1.5 Marks·Write the number
S_3 = ________________
Your answer: - Q4NAT1.5 Marks·Write the number
S_4 = ________________
Your answer: Read the passage below, then answer Q5–Q7
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.
Q5NAT1 Mark·Write the numberThe cost to be paid by player 1 will be ______________
Your answer:- Q6NAT1 Mark·Write the number
The cost to be paid by player 2 will be _________________
Your answer: - Q7NAT1 Mark·Write the number
The cost to be paid by player 3 will be ______________
Your answer: Read the passage below, then answer Q8–Q9
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.
Q8NAT1 Mark·Write the numberCreditor 1 with claim 400 units gets
Your answer:- Q9NAT1 Mark·Write the number
Creditor 2 with claim 300 units gets
Your answer:
End Term · 31 Aug 2025 (AN)End Term
Read the passage below, then answer Q10–Q12
Calculate the Shapley value of the following game and answer the given subquestions.
Q10NAT1 Mark·Write the numberS_1 = _____________
Your answer:- Q11NAT1 Mark·Write the number
S_2 = _____________
Your answer: - Q12NAT1 Mark·Write the number
S_3 = _____________
Your answer: Read the passage below, then answer Q13–Q15
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.
Q13NAT1 Mark·Write the numberThe cost to be paid by player 1 will be _____________
Your answer:- Q14NAT1 Mark·Write the number
The cost to be paid by player 2 will be ____________
Your answer: - Q15NAT1 Mark·Write the number
The cost to be paid by player 3 will be ____________
Your answer: Read the passage below, then answer Q16–Q17
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.
Q16NAT1 Mark·Write the numberCreditor 1 with claim 400 units gets
Your answer:- Q17NAT1 Mark·Write the number
Creditor 2 with claim 300 units gets
Your answer: