1) A pure monopoly is characterized by a single seller of a unique product with no close substitutes and barriers to entry that prevent competition.
2) Monopoly power allows the firm to influence prices by controlling a large share of the market. Barriers to entry like legal restrictions, patents, and control of resources prevent other firms from entering the market.
3) For a monopoly, marginal revenue is always less than price and can be negative if demand is inelastic, meaning the firm would lose total revenue by producing more. Monopolies will only produce where marginal revenue is positive or zero.