The Nash equilibrium existence theorem guarantees that:
A) A pure-strategy Nash equilibrium always exists for static games with a finite number of players and pure strategies.
B) A mixed-strategy Nash equilibrium only exists for zero-sum games.
C) A mixed-strategy Nash equilibrium exists for any game with a finite number of players and pure strategies.
D) mixed-strategy Nash equilibrium exists for games in which one player has a dominant strategy.
E) Answers c and d are correct.

Question

Quizplus · Accepted Answer

The Nash equilibrium existence theorem guarantees that a mixed-strategy Nash equilibrium exists for any game with a finite number of players and pure strategies. It also guarantees that a mixed-strategy Nash equilibrium exists for games in which one player has a dominant strategy.

The Nash Equilibrium Existence Theorem Guarantees That