Game Theory and Strategy · End Term · May 2024 · AN

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Partner 1 will get ___________________

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Partner 2 will get ___________________

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Partner 3 will get ___________________

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Identify the null players in this game

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Choose the correct alternative.

A machine can be in two possible states viz. Good (G) and Bad (B). It is in the Good state 90% of the time. An item produced by the machine is Defective (D), 1% of the time if it is Good and 10% of the time if it is Bad. Based on the above data, answer the given subquestions.

What is the probability of the item being defective

A machine can be in two possible states viz. Good (G) and Bad (B). It is in the Good state 90% of the time. An item produced by the machine is Defective (D), 1% of the time if it is Good and 10% of the time if it is Bad. Based on the above data, answer the given subquestions.

What is the probability that the machine is good if the item is defective

Five bidders with private valuations uniformly distributed between 0 and 1 participate in a sealed bid first price auction. Assuming that everyone is playing the symmetric equilibrium bidding strategy answer the given subquestions:

Optimal bid for a bidder with valuation 0.6 will be

Five bidders with private valuations uniformly distributed between 0 and 1 participate in a sealed bid first price auction. Assuming that everyone is playing the symmetric equilibrium bidding strategy answer the given subquestions:

The expected revenue of the seller in this auction scenario will be

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Consider following two statements about this game and choose correct alternative P: D is weekly dominated by U Q: L is weekly dominated by R

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Consider following two statements about this game and choose the correct alternative P: (D, R) is a Nash equilibrium. Q: Elimination of weakly dominated strategies also eliminates (D, R), a Nash equilibrium.

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Mr. a will be paired with

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Mr. b will be paired with

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Mr. c will be paired with

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Mr. d will be paired with

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How many pure strategy equilibria are there in this game?

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In one of these pure strategy NEs, all three players enter the market

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The cost to be paid by player 1 will be ___________________

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The cost to be paid by player 2 will be ___________________

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The cost to be paid by player 3 will be ___________________

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a= ___________________

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b=___________________

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c= ___________________

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d= ___________________

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e=___________________

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f=___________________

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g= ___________________

If player 1 chooses 1.5 hour as his action, the best response of player 2 will be

How much negative campaign time each player will choose under a symmetric and unique Nash equilibrium?

Equilibrium payoff of each player will be