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The '''Nash equilibrium''' is the set of decisions by multiple rivals when they maximize their individual self interests in a like-minded manner.  The solution is different from when someone maximizes his self-interest in the hope that similarly situated participants act different.  The Nash equilibrium assumes that all similarly situated participants act in a similar manner.

The '''Nash equilibrium''' is the set of decisions by multiple rivals by which they maximize their individual self interests in a like-minded manner.  The solution is different from when someone maximizes his self-interest in the hope that similarly situated participants act differently.  The Nash equilibrium assumes that all similarly situated participants act in a similar manner.

The "equilibrium" is the set of decisions such no individual participant, acting alone, can gain anything my altering his decision.  If were able to improve his position, then he would, thereby disqualifying that set of decisions as the "equilibrium".  This is similar to a chemical equilibrium or a steady-state solution in physics, whereby each individual maximizes his own gain based on similar actions by similiarly situated participants.

The "equilibrium" is the set of decisions such that no individual participant, acting alone, can gain anything by altering his decision.  If he were able to improve his position, then he would, thereby disqualifying that set of decisions as the "equilibrium".  This is similar to a chemical equilibrium or a steady-state solution in physics, whereby each individual maximizes his own gain based on similar actions by similiarly situated participants.

A problem can have more than one Nash equilibrium.

A problem can have more than one Nash equilibrium.