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Game Theory and Strategy · Quiz 1 · 13 Jul 2025 · May 2025 term

Question 4: Determined to crack down on the drug trade, a city mayor …

Question 4

+1 markOne correct option

Determined to crack down on the drug trade, a city mayor puts more officers out on patrol to disrupt the business of drug dealers. A drug dealer in a neighborhood can work his trade either on a street corner or in the park. Each day, he decides where to set up shop, knowing that word about his location will travel among users. Because a good snitch is lacking, word does not travel to the police. The police officer on the beat then needs to decide whether she will patrol the park or the street corner, while not knowing where the drug dealer is hanging out that day. The decision of the officer and the dealer determine the extent of drug trades that day. Let suppose the total number of potential trades in the market is 500. A dealer's payoff is determined by the number of trades he consummates, while the officer’s payoff is based on the number of trades she disrupts. The table below illustrates the payoffs for both parties according to their respective strategies in the game.

Based on the above data, answer the given subquestions.

Choose the correct statement .

  1. A

    There is a unique Nash equilibrium in this game

  2. B

    There are finitely many Nash equilibria in this game

  3. C

    There is no Nash equilibrium in this game

  4. D

    None

Show answer

Correct answer

  • A

    There is a unique Nash equilibrium in this game

Question 4 of 19 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term (IIT M DEGREE AN EXAM QDB2 13 July 2025). It carries 1 mark.

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  9. Q10This is a game of
  10. Q11How many terminal nodes does this game have?
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  13. Q14How many pure strategies does player 2 have?
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  15. Q16Which one of the Nash equilibria is also a subgame perfect equilibrium?
  16. Q17No. of sub games this game has
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