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Operations Research Game Theory

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Pure Strategy

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1. Question 1: What is a pure strategy in game theory?
A) A strategy that is chosen randomly B) A strategy that assigns a probability distribution over all possible moves C) A strategy where a player consistently chooses the same action in every play of the game D) A strategy that minimizes the opponent's payoff
2. Question 2: In game theory, a saddle point in a two-player game using pure strategies is:
A) A point where both players can improve their outcomes B) A point where the strategy chosen maximizes the player's minimum gain and minimizes the opponent's maximum gain C) The optimal point for only one player D) A strategy that leads to a suboptimal solution for both players
3. Question 3: In a pure strategy Nash equilibrium, each player's chosen strategy is:
A) The one that maximizes collective payoffs for all players B) The one that maximizes only their opponent's payoff C) The best response to the strategy chosen by the other player D) A random selection of actions
4. Question 4: Which of the following best describes a dominant pure strategy?
A) A strategy that gives a higher payoff than any other strategy, no matter what the other player does B) A strategy that is optimal only when the opponent chooses their weakest strategy C) A strategy that only provides the best outcome in cooperative games D) A strategy that balances risk and reward by averaging outcomes
5. Question 5: In a two-player zero-sum game with pure strategies, the goal of each player is to:
A) Maximize their own gains while minimizing the other player's losses B) Maximize the total payoff for both players C) Minimize the losses of both players D) Maximize their own payoff while minimizing their opponent's payoff