Mixed Strategies and Randomization

Mixed Strategies and Randomization Quiz

15 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

In a mixed strategy, a player chooses a _ action with a certain probability.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 2 Multiple Choice (Single Answer)

Randomization is used in game theory to _.

  1. Introduce uncertainty
  2. Guarantee a win
  3. Eliminate risk
  4. Maximize profits
Question 3 Multiple Choice (Single Answer)

In a two-player game, if both players use mixed strategies, then the _ outcome is a Nash equilibrium.

  1. Pure strategy
  2. Mixed strategy
  3. Random strategy
  4. Dominant strategy
Question 4 Multiple Choice (Single Answer)

The expected payoff of a mixed strategy is the _ of the payoffs from all possible outcomes, weighted by their probabilities.

  1. Sum
  2. Product
  3. Average
  4. Maximum
Question 5 Multiple Choice (Single Answer)

In a game with _ strategies, a player's mixed strategy is represented by a probability distribution over the set of strategies.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 6 Multiple Choice (Single Answer)

The Nash equilibrium of a game with mixed strategies is a set of strategies, one for each player, such that _.

  1. No player can improve their payoff by unilaterally changing their strategy
  2. All players have the same payoff
  3. The game ends in a draw
  4. The game is solved
Question 7 Multiple Choice (Single Answer)

In a game with mixed strategies, a player's _ strategy is one in which they choose each action with equal probability.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 8 Multiple Choice (Single Answer)

The _ of a mixed strategy is the probability that a player chooses a particular action.

  1. Payoff
  2. Expected value
  3. Support
  4. Distribution
Question 9 Multiple Choice (Single Answer)

In a game with mixed strategies, a player's _ strategy is one in which they choose a single action with probability 1.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 10 Multiple Choice (Single Answer)

The _ of a mixed strategy is the set of all possible outcomes of the game, weighted by their probabilities.

  1. Payoff
  2. Expected value
  3. Support
  4. Distribution
Question 11 Multiple Choice (Single Answer)

In a game with mixed strategies, a player's _ strategy is one in which they choose each action with a probability that is proportional to its payoff.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 12 Multiple Choice (Single Answer)

The _ of a mixed strategy is the probability that a player chooses a particular action.

  1. Payoff
  2. Expected value
  3. Support
  4. Distribution
Question 13 Multiple Choice (Single Answer)

In a game with mixed strategies, a player's _ strategy is one in which they choose a single action with probability 1.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant
Question 14 Multiple Choice (Single Answer)

The _ of a mixed strategy is the set of all possible outcomes of the game, weighted by their probabilities.

  1. Payoff
  2. Expected value
  3. Support
  4. Distribution
Question 15 Multiple Choice (Single Answer)

In a game with mixed strategies, a player's _ strategy is one in which they choose each action with a probability that is proportional to its payoff.

  1. Pure
  2. Mixed
  3. Random
  4. Dominant