What are the profit-maximizing conditions under oligopoly?

An oligopolist will maximize his profit, where the marginal revenue curve intersects the marginal cost curve. However, the demand curve faced by the oligopolist is kinked in shape. The kinked demand curve is characterized by discontinuity. It signifies that the presence of competition in the oligopolist market. The demand curve above the kinked-point represents that the demand for the good is elastic. In other words, with the change in price, demand will change with a higher proportion. The portion below the kinked-point signifies that the demand for the good is inelastic. In other words, with the change in price, the demand for the good will change with a lower proportion.