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A monopsony is a market situation in which there is only one buyer for a good or service. In the context of labor markets, a monopsony refers to a market where there is a single employer hiring labor, while multiple workers are competing to be employed. This means that this sole employer has the power to influence the wage rate and employment levels in the market, unlike in a competitive market where multiple employers cannot set wages unilaterally.

To determine the impact of monopsony on the equilibrium wage and employment levels, we first need to determine the marginal cost of labor (MCL) for the monopsonist employer. The MCL is the additional cost that the employer incurs when employing one extra worker. In a monopsony, the MCL will be greater than the wage rate because to attract an additional worker, the employer often has to raise the wage rate for all workers due to the higher wage being offered to new hires. The MCL curve will thus be upward-sloping and lie above the labor supply curve, which shows the relationship between the wage rate and the quantity of labor supplied by workers.

To maximize profit, a monopsonist employer will hire workers up to the point where the MCL equals the marginal revenue product of labor (MRPL). The MRPL represents the additional revenue generated from employing an additional worker and is the product of the marginal product of labor (MPL) and the price of the output (P). In this case, the equilibrium employment level is determined by the intersection of the MCL and MRPL curves.

With the MCL and MRPL curves determined, we can now identify the monopsonist's equilibrium employment level. At this level, the MCL equals the MRPL. To find the wage rate corresponding to this employment level, we can draw a vertical line down to the labor supply curve from the point of intersection between the MCL and MRPL. This will give us the wage rate that the monopsonist is willing to pay for that level of employment.

In a competitive labor market, the equilibrium wage and employment levels are determined by the intersection of the labor supply and labor demand curves. Because the monopsonist's MCL curve lies above the labor supply curve, the equilibrium wage rate under monopsony will be lower than the competitive equilibrium wage rate. The monopsonist's power in the market allows them to set a lower wage rate than what would be paid in a competitive market. Similarly, due to the profit-maximizing behavior of the monopsonist, the monopsony equilibrium employment level will be lower than the competitive equilibrium employment level. In summary, a monopsony in the labor market leads to lower wage rates and employment levels compared to a competitive market.