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How are equilibrium price and output determined under monopoly?

Published in Monopoly Equilibrium 5 mins read

Under monopoly, equilibrium price and output are determined at the point where the monopolist maximizes profit. This crucial point is identified by specific economic conditions related to the firm's costs and revenues.

Understanding Monopoly Equilibrium

A monopoly exists when a single firm controls the entire market for a particular product or service, facing no close substitutes and significant barriers to entry for potential competitors. Unlike firms in perfect competition, a monopolist has the power to influence market price by adjusting the quantity of output it supplies. The primary objective of a monopolist, like any firm, is to maximize its total profit.

This profit maximization leads to the determination of an equilibrium output level, which then dictates the market price.

The Marginal Revenue-Marginal Cost Rule

The most common and analytically precise method for determining equilibrium output and price under monopoly involves comparing marginal revenue (MR) and marginal cost (MC).

For profit maximization, two fundamental conditions must be satisfied:

  1. Marginal Revenue (MR) must be equal to Marginal Cost (MC).

    • Explanation: Marginal revenue is the additional revenue gained from selling one more unit of output, while marginal cost is the additional cost incurred from producing one more unit.
    • If MR > MC, producing an additional unit would add more to revenue than to cost, thus increasing total profit. The monopolist would continue to increase output.
    • If MR < MC, producing an additional unit would add more to cost than to revenue, thus decreasing total profit. The monopolist would reduce output.
    • Therefore, the profit-maximizing output level occurs precisely where MR = MC, as at this point, no further gains can be made by changing output.
  2. The Marginal Cost (MC) curve must cut the Marginal Revenue (MR) curve from below.

    • Explanation: This second condition ensures that the MR = MC point represents a maximum profit, not a minimum profit.
    • When MC cuts MR from below, it signifies that beyond this intersection point, MC starts to exceed MR. This confirms that the firm has reached the peak of its profit-generating capacity, and increasing output further would lead to losses on additional units. If MC were to cut MR from above, it would typically indicate a point where profits are being minimized, not maximized.

Determining the Equilibrium Price

Once the equilibrium output level is determined by the MR = MC rule, the monopolist sets the price. Unlike perfect competition where price equals marginal revenue, a monopolist's price is higher than its marginal revenue.

To find the equilibrium price:

  • From the profit-maximizing output level (where MR = MC), the monopolist will go up to the demand curve (which is also the Average Revenue, AR, curve).
  • The price corresponding to this point on the demand curve is the equilibrium price that the monopolist will charge. This is because the demand curve represents the maximum price consumers are willing to pay for that specific quantity of output.

Summary of Determination Process:

Step Action Rationale
1 Identify the output level where MR = MC. This maximizes total profit.
2 Verify that the MC curve cuts the MR curve from below at this output. Ensures the profit is maximized, not minimized.
3 From this output level, move vertically to the demand curve. To find the highest price consumers will pay.
4 The corresponding price on the demand curve is the equilibrium price. This is the monopolist's selling price for the profit-maximizing output.

Alternative Approach: Total Revenue and Total Cost

Another conceptual approach to understanding monopoly equilibrium is the Total Revenue (TR) and Total Cost (TC) Approach.

  • Under this approach, the equilibrium output is determined at the point where the positive difference between Total Revenue (TR) and Total Cost (TC) is maximized.
  • While MR=MC is a more detailed and often graphically represented method, the TR-TC approach conceptually underpins it. The point where the slope of the TR curve equals the slope of the TC curve (which is where MR=MC) will correspond to the greatest vertical distance between the TR and TC curves, indicating maximum profit.

Practical Insights and Implications

  • Higher Price, Lower Output: Compared to a perfectly competitive market, a monopolist typically produces a lower quantity of output and charges a higher price. This is because the monopolist restricts output to maintain a higher price and maximize its own profit, leading to potential welfare losses for society (deadweight loss).
  • No Supply Curve: A monopolist does not have a unique supply curve. Its output decision is based on both its marginal cost curve and the demand curve it faces, not just its costs alone.
  • Potential for Supernormal Profits: In the long run, a monopolist can earn supernormal profits (profits above normal returns) due to significant barriers to entry that prevent new firms from entering the market and driving down prices.

In essence, a monopolist meticulously balances the additional revenue from selling one more unit against the additional cost of producing it, ultimately aiming for the output level that yields the highest possible profit, and then setting the price according to market demand for that quantity.