Which of the following statements is false? Group of answer choices 1.The Prisoners’ Dilemma is a type of social dilemma. 2.Every dominant strategy equilibrium is also a Nash equilibrium. 3.Every game has at least one Nash equilibrium. 4.Every game has at least one dominant strategy equilibrium.
Question
Which of the following statements is false? Group of answer choices
1.The Prisoners’ Dilemma is a type of social dilemma.
2.Every dominant strategy equilibrium is also a Nash equilibrium.
3.Every game has at least one Nash equilibrium.
4.Every game has at least one dominant strategy equilibrium.
Solution
The false statement is:
- Every game has at least one dominant strategy equilibrium.
This is not always true. A dominant strategy equilibrium occurs when each player's strategy is their best response to the other player's strategy. However, not all games have a dominant strategy for each player. Therefore, not every game has a dominant strategy equilibrium.
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