If a player does not have a dominant strategy, can the game still have Nash equi

Question

If a player does not have a dominant strategy, can the game still have Nash equilibrium? No, if there is no dominant strategy, there is no predictable outcome and therefore no Nash equilibrium. No, At least one player must have a dominant strategy for the outcome to be a Nash equilibrium. Yes, There is no reason that a dominant strategy must exist to have a Nash equilibrium. The outcome is a Nash equilibrium because each player has made his or her choice based on the best strategy of the other player. Yes, A Nash equilibrium is possible only if neither player has a dominant strategy. If the dominant strategy exists., it is no longer a Nash equilibrium.

Explanation / Answer

Option (C) – the game still have a Nash equilibrium even the player does not have a dominant strategy , Nash equilibrium doesn't describe a strategy as much as a stasis of understanding; each player understands the other player's optimal strategies and takes those into consideration when optimizing his own strategy.

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