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Investopedia explains 'Nash Equilibrium'
If you want to test for a Nash equilibrium, simply reveal each person's strategy to all players. The Nash equilibrium exists if no players change their strategy, despite knowing the actions of their opponents. For example, let's examine a game between Tom and Sam. In this simple game both players can choose: A) received $1, or B) lose $1

Logically, both players choose strategy A and receive a payoff of $1. If you revealed Sam's strategy to Tom and vice versa, you will see that no player deviates from the original choice. Knowing the other player's move means little, and doesn't change behavior. The outcome A,A represents a Nash equilibrium.
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