Chapter 5: Public Goods, Public Choice Theory, and Government Failure

Public Goods and Demand-Side Market Failures

Public goods represent a specific area where the market system may fail to allocate resources efficiently, necessitating government intervention. This failure is often rooted in demand-side market challenges.

• Demand-Side Market Failures: Occur when it is impossible to charge consumers for a product. Because some individuals can enjoy the benefits of a good without paying for it, firms are generally unwilling to produce these goods as they cannot cover their production costs through market sales.

• Private Goods: These are produced in the market by firms and are characterized by:

  • Rivalry: When one person buys and consumes a product, it is not available for another person to buy and consume.

  • Excludability: Sellers can keep people who do not pay for a product from obtaining its benefits.

• Public Goods: These are goods provided by the government, typically offered for free to the public. They are characterized by:

  • Nonrivalry: One person’s consumption of a good does not preclude consumption of the good by others; everyone can simultaneously obtain the benefit.

  • Nonexcludability: There is no effective way of excluding individuals from the benefit of the good once it comes into existence.

  • Free-Rider Problem: A producer cannot prevent non-payers from receiving the benefit, which results in the market failing to provide the good at all.

Determining the Demand for Public Goods

The demand for a public good is determined by the collective willingness to pay of all individuals in the society. Unlike private goods, where demand is summed horizontally, public good demand is summed vertically by adding the prices individuals are willing to pay for each additional unit.

Example: Garcia and Johnson The following data illustrates the collective willingness to pay for a public good between two individuals:

• Quantity $1$: Garcia WTP: $4$; Johnson WTP: $5$; Collective WTP: $9$

• Quantity $2$: Garcia WTP: $3$; Johnson WTP: $4$; Collective WTP: $7$

• Quantity $3$: Garcia WTP: $2$; Johnson WTP: $3$; Collective WTP: $5$

• Quantity $4$: Garcia WTP: $1$; Johnson WTP: $2$; Collective WTP: $3$

• Quantity $5$: Garcia WTP: $0$; Johnson WTP: $1$; Collective WTP: $1$

In a graphical representation, the optimal quantity is reached where the collective demand curve ($D_c$) intersects the supply curve ($S$). In this hypothetical, the intersection occurs at $(3, 5)$, meaning the optimal quantity is $3$ units.

Cost-Benefit Analysis and Resource Reallocation

Governments use cost-benefit analysis to decide whether to provide a particular public good and how much of it to provide.

• Cost: Defined as the resources diverted from private good production. This represents the private goods that will not be produced (opportunity cost).

• Benefit: The extra satisfaction gained from the output of more public goods.

• Net Benefit: Calculated as $\text{Total Benefit} - \text{Total Cost}$.

Case Study: National Highway Construction Project (in Billions)

• No new construction: Total Cost: $0$; Total Benefit: $0$; Net Benefit: $0$.

• Plan A (Widen existing highways): Total Cost: $50$; Marginal Cost: $50$; Total Benefit: $200$; Marginal Benefit: $200$; Net Benefit: $150$.

• Plan B (New 2-lane highways): Total Cost: $140$; Marginal Cost: $90$; Total Benefit: $350$; Marginal Benefit: $150$; Net Benefit: $210$.

• Plan C (New 4-lane highways): Total Cost: $240$; Marginal Cost: $100$; Total Benefit: $470$; Marginal Benefit: $120$; Net Benefit: $230$.

• Plan D (New 6-lane highways): Total Cost: $620$; Marginal Cost: $380$; Total Benefit: $580$; Marginal Benefit: $110$; Net Benefit: $-$40.\n\nAccording to this analysis, Plan C is the optimal choice because it maximizes the net benefit (230 billion).\n\n# Quasi-Public Goods and Reallocation\n\n* **Quasi-Public Goods:** Goods that could be provided through the market system (as they possess excludability) but are provided by the government because they generate large positive externalities. Examples include education, streets, and museums.\n* **The Reallocation Process:** The government finances public and quasi-public goods by taxing individuals and businesses, thereby reducing their purchasing power. The government then spends this tax revenue to produce these goods, effectively shifting resources from the production of private goods to public goods.\n\n# Public Choice Theory and Voting Paradoxes\n\nPublic choice theory applies economic analysis to government decision-making, politics, and elections.\n\n**Inefficient Voting Outcomes**\nMajority voting can lead to inefficiencies where society either under-allocates or over-allocates resources to a project.\n\n* **Inefficient Majority “No” Vote (Underproduction):** Occurs when a project with a total benefit greater than the total cost is rejected. \n * Example: Total Benefit = 1,150$; Total Cost =$900$; Tax per person =$300.\n * Garcia benefit = 700$(Yes); Johnson benefit =$250$(No); Lee benefit =$200$(No). Result:$2$vs.$1 No vote.\n* **Inefficient Majority “Yes” Vote (Overproduction):** Occurs when a project with a total cost greater than the total benefit is approved.\n * Example: Total Benefit = 800$; Total Cost =$900$; Tax per person =$300.\n * Garcia benefit = 100$(No); Johnson benefit =$350$(Yes); Lee benefit =$350$(Yes). Result:$2$vs.$1$$ Yes vote.

The Paradox of Voting This paradox refers to a situation where society may not be able to rank preferences consistently through paired-choice majority voting. The winning outcome can depend entirely on the order in which votes are taken.

• National Defense vs. Road: National defense wins (Garcia and Lee prefer it).

• Road vs. Weather Warning System: Road wins (Garcia and Johnson prefer it).

• National Defense vs. Weather Warning System: Weather warning system wins (Johnson and Lee prefer it).

Median-Voter Model This model suggests that the voter holding the middle position on an issue is likely to determine the election outcome.

• Potential issues: Some voters remain dissatisfied with the median; some may “vote with their feet” (move to other jurisdictions); median preferences shift over time.

Alternative Voting Mechanisms

• Quadratic Voting: A system where voters are allowed to purchase and cast as many votes as they desire, reflecting the intensity of their preferences.

Government Failure

Government failure refers to inefficient outcomes caused by the government itself rather than market forces.

• Bureaucracy and Inefficiency: Public agencies often operate without a profit-and-loss test, leading to less efficiency than private businesses. Bureaucrats may also seek to justify continued employment or gain political clout.

• Principal-Agent Problem: Conflicts of interest when those making decisions (agents/politicians) have different goals than the people they represent (principals/voters).

• Special-Interest Effect and Pork-Barrel Politics:

  • Special-Interest Effect: Small groups benefit at the expense of the larger public.

  • Collective-Action Problem: The difficulty in organizing large groups to advocate for the public interest.

  • Earmarks/Pork-Barrel: Funding for projects that benefit a specific district, often used to secure votes for larger legislation.

• Rent Seeking Behavior: Actions taken by individuals or groups to gain profit through government influence rather than through market competition.

• Inefficient Regulation:

  • Regulatory Capture: Occurs when the industries being regulated (e.g., pharmaceuticals, Wall Street) essentially write the regulations themselves.

• Corruption: The abuse of entrusted power for personal gain, such as demanding bribes for illegal acts or for performing routine duties.

• Imperfect Institutions: Recognition that both markets and governments are imperfect. It is often mathematically and practically difficult to determine whether a good should be assigned to the public or private sector.

Questions & Discussion: Corporate Subsidies

Last Word: Should Governments Subsidize Corporate Relocations?

• State and local governments frequently offer subsidies to court major corporations like Amazon.

• Debate exists regarding whether chosen locations would have been selected regardless of subsidies.

• Data often indicates that the return on investment for these government subsidies typically does not meet original expectations.