Perfect competition is characterized by many small firms, homogeneous products, free entry and exit, and perfect information. Buyers and sellers are price takers with no influence over market price.
Monopoly is dominated by a single seller who is a price maker and faces no competition. Barriers to entry prevent other firms from entering the market.
Oligopoly is dominated by a few large firms. These firms recognize their interdependence and may collude or compete with each other.