Equilibrium wage is the wage rate at which the supply of labor meets the demand for labor, resulting in a balanced labor market without excess unemployment or shortage of workers. This concept is crucial in perfectly competitive labor markets, where employers and employees come together to negotiate wages that reflect their value in the marketplace. When the wage is at this equilibrium point, there are no pressures for it to change, as the number of workers willing to work at that wage equals the number of jobs available.