Match List-I with List-II:List-I List-II A. Playing each strategy with probability I. Nash equilibrium B. Maximum payoff given the strategy of other II. Grim trigger strategy C. Long-run behavior III. Best response function D. Period of punishment is infinite IV. Mixed strategy
Choose the correct answer from the options given below:
This question requires matching concepts from List-I with their corresponding definitions or examples in List-II, related to game theory.
Matching Game Theory Concepts
We need to pair each item in List-I with the correct item in List-II:
- A. Playing each strategy with probability: This describes a situation where a player randomly chooses between different available strategies according to specific probabilities. This is the definition of a Mixed strategy.
- B. Maximum payoff given the strategy of other: This refers to the strategy (or set of strategies) that yields the highest possible payoff for a player, assuming the strategies of the other players are fixed. This is known as a Best response function.
- C. Long-run behavior: In the context of strategic interactions, stable outcomes often represent the expected long-run behavior. A Nash equilibrium is a state where no player can unilaterally improve their outcome by changing their strategy, indicating stability and a potential long-run equilibrium point.
- D. Period of punishment is infinite: This characteristic is a key feature of certain strategies used in repeated games, particularly when dealing with maintaining cooperation. The Grim trigger strategy involves punishing any deviation from an agreed-upon strategy by reverting to a non-cooperative outcome forever, hence an infinite period of punishment.
Correct Matches Explained
Based on the analysis above, the correct matches are:
- A matches with IV (Mixed strategy)
- B matches with III (Best response function)
- C matches with I (Nash equilibrium)
- D matches with II (Grim trigger strategy)
Therefore, the correct option is the one that lists these pairings.
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