Natural monopoly

Natural Monopoly

Lecture Details

  • Lecturer: Nicolai Suppa
  • Course: Public Sector Economics
  • University: University of Barcelona
  • Date: November 5, 2025

Background

  • Markets generally lead to efficient allocations under certain conditions.
  • If assumptions regarding market conditions are violated, it can lead to market failure.

Assumptions for Efficient Markets

  • Perfect competition (Agents act as price-takers)
  • Existence of complete markets
  • Agents possess perfect information
  • Absence of public goods
  • No externalities present

Consequences of Market Failures

  • Imperfect competition (competition failure)
  • Incomplete markets
  • Information failures
  • Presence of public goods
  • Externalities

Reference Materials

  • Detailed content can be found in chapter 11 "Theory of Natural Monopoly" from the book by Viscusi, Vernon, and Harrington (2005).
  • The chapter is available on the course's virtual campus.

Guiding Questions

  1. What is the natural monopoly and why does it emerge?
  2. How and why do markets fail?
  3. What is the dilemma associated with natural monopolies?
  4. What are the possible government interventions, and what limitations do they have?

Outline of the Lecture

  1. What is the natural monopoly?
  2. Pricing Strategies
  3. Policy solutions
  4. Regulatory reforms

Classical Examples of Natural Monopolies

  • Typical natural monopolies include public utility industries such as:
    • Tap water supply
    • Electricity generation and distribution
    • Gas supply
    • Telecommunications
    • Transportation services

Active Learning Question

  • Key Feature: What is a common feature shared by all these industries?

Infrastructure Components for Water Supply and Sanitation

  1. Water Collection
  2. Water Purification
  3. Transportation and Storage of water
  4. Smart Distribution Systems
  5. Consumption by consumers
  6. Sewerage Systems
  7. Water Purification processes
  8. Reuse or Return of water

Further Examples of Natural Monopolies

  • Additional unspecified examples exist (described with symbol).

Review of Cost Structures

  • Variability in fixed costs and marginal costs:
    • No fixed costs, (linear) increasing marginal cost (MC)
    • Fixed costs, (linear) increasing MC
    • No fixed costs, constant MC
    • Fixed costs, constant MC

Understanding Declining Average Costs

  • A firm with the following Average Cost (AC) curve exhibits declining AC everywhere, which has implications for Marginal Cost (MC).

Implications of Declining Average Costs

  • The Marginal Cost (MC) curve will always lie below the Average Cost (AC) curve.

Active Learning Question

  • What are the implications of declining AC for competition?

Definition and Explanation of Natural Monopoly

  • Natural Monopoly: An industry in which the production of a good or service by a single firm minimizes costs. Hence, this single firm supplies the entire market at a lower AC than any potential competitor.
  • The emergence of a natural monopoly is derived from specific cost structures and technology.

Underlying Cost Structures

  • Cost Structures Leading to Natural Monopolies:
    • High fixed costs (e.g., infrastructure like grids) leading to declining AC without needing economies of scale.
    • Economies of scale: Describes a situation where increasing returns to scale in the production process can be expressed as:
    • q = f(g imes x) > g imes f(x)
    • Total Cost (TC) for producing $g$ times the quantity $q$ can be expressed as: TC(g imes q) < g imes TC(q) (1)
    • Economies of scope: Refers to producing two goods together being cheaper than individually:
    • TC(q1, q2) < TC(q1, 0) + TC(0, q2) (2)
    • Subadditive cost function: Less expensive for one firm to produce a given output compared to multiple firms:
    • TC(q1 + q2) < TC(q1) + TC(q2) (3)

Active Learning Question

  • Consider a firm with the following AC curve, identify economies and diseconomies of scale?

Understanding Subadditive Cost Function

  • Single Firm Production: Introduction of another firm complicates the cost structure, but producing as a single firm may still achieve lower average costs, despite some diseconomies of scale.

Characteristics of Subadditive Cost Functions

  • In both single-product and multi-product industries, subadditive functions define cost efficiency:
    • Single-product firm has a total cost function subadditive with respect to output if:
    • TC(q) < extstyle rac{N}{ ext{sum}} TC(q_n)
    • Multi-product industries exhibit overall subadditive characteristics:
    • TC(y1, y2, …, yN) < M extstyle rac{sum} TC(ym)

Temporary and Permanent Natural Monopolies

  • Understanding Temporary Monopolies:
    • An example can be identified as demand $D_D$ that might cease to exhibit natural monopoly characteristics due to changing demand or technology, resulting in a potentially temporary monopoly.
Some Examples of Temporary and Permanent Monopolies
  • Airports and airlines (e.g., Luton 1938, Stansted 1943, etc.)
  • Long-distance phone services and cable capacities, with historical transitions to competition from trucking.

Pricing Strategies

Active Learning on Pricing

  • Under perfect competition, firms set price equal to marginal cost (p = MgC). However, this may not apply in the discussed cost structures.

1. Marginal Cost Pricing

  • Setting $P = MgC$ may lead to losses:

Losses and Competition Failure

  • Firms with incentives to undercut prices to gain market share may end up reducing prices to $p = MgC$.
  • Eventually, only one firm may remain.

Market Efficiency

  • While $(Q0, P0)$ is the efficient allocation (welfare-maximizing), it does not represent competitive equilibrium.

2. Monopolistic Pricing

  • If only one firm persists, it sets monopolistic prices leading to equilibrium points $(Qm, Pm)$ that deviate from efficiency.

Dilemma of Natural Monopolies

  • At $P(Q) = MC$, the welfare-maximizing production implies losses under specific cost structures facing a single firm.
  • The monopoly pricing approach can cover fixed costs but intrinsically entails efficiency losses, creating challenges in generating socially optimal outcomes.

3. Average Cost Pricing

  • Average Cost pricing permits zero profit scenarios, where total revenue equals total cost:
    • Total Revenue: TR = P^ imes Q^ imes
    • Total Cost: TC = AC(Q^ imes) imes Q^ imes
    • Factors continue to include efficacy trade-offs.

4. Two-Part Tariff

  • Pricing model consisting of unit price $p$ plus a fixed charge $f$.
  • Example: Total costs can be given by:
    • TC(Q) = F + cQ
    • To achieve efficiency while sustaining costs, optimal strategies require $p=c$ and $f= rac{F}{N}$.
  • Alternative structures may encourage market participation by accounting for consumers’ willingness to pay, e.g., discriminatory tariffs.

Policy Solutions for Natural Monopolies

Approaches to Addressing Natural Monopolies:

  1. Regulation:
    • Options include:
      • Doing nothing.
      • Providing a subsidy.
      • Implementing rate of return regulation (AC pricing).
      • Utilizing price-cap regulation.
  2. Public Enterprise:
    • Government ownership and operation of monopolistic services, which mirrors challenges faced under AC pricing methodologies.

1. Regulation: "Doing Nothing"

  • This may be acceptable if close substitutes exist, reducing inefficiency even with monopolistic conditions.

2. Subsidizing the Private Firm

  • Loss compensation through government subsidy needs consideration of limitations, including services provided where total costs exceed willingness to pay.

3. Average Cost Pricing in Practice

  • Rate of return regulation seeks a balance, but can lead to adverse incentives under asymmetric information conditions.

4. Price-Cap Regulation

  • Sets a maximum price below monopoly pricing, incentivizing cost reductions but requiring adaptive strategies around expectations of price changes over time.

Regulatory Reforms

Historical Context

  • 1980s and 1990s witnessed extensive privatization of public enterprises, notably in the UK and other advanced economies.

Ongoing Research

  • Publications addressing regulatory economics: costs, natural monopolies, competition policy, and various regulatory issues are continuously researched and published.

Regulatory Considerations

  • Structural arrangements, like vertical separation between production and distribution, can promote efficiencies but may lose some economies of scope.
  • Transparency in regulation helps to reduce instances of regulatory capture.