Inequality, Taxation, and Redistribution Notes

Course Review: Markets and Efficiency

The fundamental assumptions underlying a perfectly functioning market include:

• Individuals are rational: They make decisions to maximize their own utility.

• Perfect information: All participants have complete knowledge of prices, quality, and market conditions.

• Perfectly competitive markets: Many buyers and sellers exist, and no single entity can influence prices.

• Complete markets: Markets exist for all possible goods and services.

• Absence of public goods: All goods are private and excludable.

• Absence of externalities: There are no spillover effects on third parties from production or consumption.

Pareto Efficiency

• Definition: An allocation is Pareto efficient when it is impossible to make any individual better off (a Pareto improvement) without making at least one other person worse off.

• Pareto Improvement: A change in allocation where at least one person's situation improves and no one else's situation deteriorates.

• Multiplicity: Typically, a market can result in many different Pareto efficient allocations.

• First Welfare Theorem: In the benchmark case of a self-regulating market with free exchange, the outcome leads to a Pareto efficient outcome.

Markets and Fairness

While markets may achieve efficiency, they do not inherently guarantee fairness.

• Wages and Labour Markets: An individual's wage depends on several factors, many of which are outside their control:

  • Innate abilities and talents inherited at birth.

  • Skills and abilities acquired through education and life experience.

  • The level of effort individuals choose to expend.

  • The market supply and demand for specific skills.

  • Luck and random events.

• Normative Question: The core debate in social economics remains whether wage differentials resulting from these factors are actually fair.

Normative Criteria for Outcomes

• Criterion 1: Pareto Efficiency: Focuses on avoiding waste; an outcome is efficient if no one can be improved without harming another.

• Criterion 2: Equity: Focuses on fairness; an outcome is equitable when resources are distributed or shared in a fair way.

Philosophical Frameworks: What is Fair?

John Rawls (1921 - 2002)

John Rawls proposed the "Veil of Ignorance" as a thought experiment to determine fairness. If individuals did not know their place in society (their class, talents, or luck), they would choose principles of justice that protect everyone.

1. Liberty Principle: Each person has an equal right to the most extensive basic liberty compatible with similar liberty for others.

2. Difference Principle: Social and economic inequalities are permissible only if they are:

   • To the greatest benefit of the least advantaged members of society.

   • Attached to offices and positions open to all under conditions of fair equality of opportunity.

Variants of Fairness Principles

• Egalitarianism: Defined as fairness as equality of outcomes. The rationale is that everyone should have an equal amount of resources to prevent societal inequality. A risk of pure egalitarianism is a "race to the bottom," where everyone has nothing. It is often used to select one specific Pareto efficient outcome among many.

• Sufficientarianism: Defined as fairness as the adequacy of outcomes. The goal is to ensure everyone has enough resources to avoid poverty, regardless of overall equality. This is closely linked to the concept of social rights.

• Limitarianism: As argued by philosopher Ingrid Robeyns, this principle suggests there should be a ceiling on resources. It is concerned with preventing extreme wealth and argues there is a limit to how many resources one person should have.

Combining Efficiency and Equity

The Second Welfare Theorem

• Theorem: Every Pareto efficient outcome can be achieved through free exchange in a self-regulating market, provided that the government can redistribute resources without cost using lump-sum transfers.

• Lump-sum transfer: A transfer where the sender and receiver cannot change their behavior to affect the size of the transfer (e.g., a tax that doesn't depend on how much you work). These transfers do not cause efficiency loss.

Methodological Implications: Division of Tasks

1. Task 1 (Efficiency): The government ensures the society reaches a Pareto efficient solution to avoid waste. This is the traditional domain of economists.

2. Task 2 (Equity): The government redistributes resources to reach an equitable solution. This is traditionally the domain of philosophers and social scientists.

Reality: Leaky Bucket Transfers

In the real world, lump-sum transfers are rare. Arthur Okun (1975) proposed the metaphor of "Leaky Bucket Transfers."

• People adjust their behavior in response to transfers. For example, if labor taxes increase, people may choose to work less.

• Definition: A transfer where the amount received by the beneficiary is less than the amount sent by the payer due to administrative costs or behavioral changes (efficiency loss).

• The Trade-off: Increasing equity usually results in decreased efficiency. The "optimal" level of redistribution is a value judgment rather than a purely mathematical calculation.

Institutions of Redistribution and Pre-distribution

Society relies on three basic institutions for resource management:

1. Families (Informal, Non-profit, Private)

• Function: Income pooling.

• Members pool resources into a shared budget, redistributing from earners (adults) to non-earners (children, elderly).

• Assortative Mating: The tendency for individuals to partner with those of similar education, income, or social backgrounds ("likes attract"). This trend has increased in OECD countries, causing income pooling to amplify inequality between households rather than reduce it.

2. Firms (Formal, For-profit, Private)

• Function: Pre-distribution.

• Wage Setting: Established through minimum wages, collective bargaining, and pay scales.

• Occupational Benefits: Hidden redistribution through employer pensions, health insurance, meal vouchers, and company cars.

• Corporate Social Responsibility (CSR):

  • Friedman View (1970): The only responsibility of business is to increase profits; redistribution is for the government.

  • Stakeholder View: Firms have duties to employees and communities. CSR can be seen as internalizing externalities voluntarily.

  • Case Study: Lieven Gevaert (1868-1935): A social entrepreneur who introduced health insurance, pension funds, social housing, and technical schools, inspired by the papal encyclical "Rerum Novarum" (1891).

3. Government (Formal, Non-profit, Public)

• Function: Redistribution.

• Redistribution (Cure): Corrects existing inequalities (e.g., progressive taxes, income support).

• Pre-distribution (Prevent): Prevents inequalities from forming (e.g., education policies, labor market organization).

Defining the Welfare State

There are four escalating conceptions of the welfare state:

1. Welfare for the poor: Basic safety nets like Food Stamps (US) or OCMW (Belgium).

2. Taxation and Redistribution: Using personal income tax to shift resources.

3. Social Insurance: Universal systems like Social Security (US), NHS (UK), or Sociale Zekerheid (Belgium).

4. Socio-economic policies: Active government involvement in shaping markets and labor policies.

Taxation Principles and Data

Purpose of Taxation

• Raising government revenue.

• Redistributing resources.

• Steering behavior (e.g., Pigouvian taxes for externalities).

Government Finance Definitions

• Revenue: Taxes + social insurance contributions + other income.

• Primary Expenditure: All spending except interest on debt (wages, public services, social benefits).

• Current Expenditures: Consumption-based spending.

• Capital Expenditures: Investment-based spending.

• Primary Balance: $Revenue - Primary\,Expenditure$

• Overall Balance: $Primary\,Balance - Interest\,Payments$

Belgian Public Finances (2024 Estimates as % of GDP)

• Revenues: $49.8\%$

  • Taxes and social contributions: $42.6\%$

  • Other income: $7.2\%$

• Primary Expenditure: $52.2\%$

  • Current expenditures: $48.1\%$

  • Capital expenditures (Investment): $4.1\%$

• Primary Balance: $-2.3\%$

• Interest Payments: $-2.3\%$

• Overall Balance (Deficit): $-4.6\%$ (Note: This exceeds the $3\%$ common threshold).

Public Debt Sustainability

Sustainability depends on the "race" between the interest rate and the economic growth rate.

• If Interest\,Rate > Growth\,Rate, the debt-to-GDP ratio increases.

• If Growth\,Rate > Interest\,Rate, the debt-to-GDP ratio falls.

• Governments can manage debt by investing to grow the future tax base, rolling over debt to next generations, or printing money.

Types of Taxation

Equity in Taxation

• Horizontal Equity: Equal treatment of equals (people with the same income pay the same tax).

• Vertical Equity: "Broader shoulders should carry more weight."

• Progressive Taxation: The average tax rate increases as income increases.

• Regressive Taxation: The average tax rate decreases as income increases.

Direct vs. Indirect Taxation

• Direct Taxation: Paid directly to the government (e.g., Personal Income Tax, Corporate Tax, Capital Income Tax).

• Indirect Taxation: Paid through another entity like a firm (e.g., VAT, Excises).

Personal Income Tax in Belgium (2024 Rates)

• Exempted Amount: No taxes on the first $9270\,euro$ (standard) or $10910\,euro$ (depending on family composition).

• Brackets:

  1. $0 - 15820\,euro$: $25\%$

  2. $15820 - 27920\,euro$: $40\%$

  3. $27920 - 48320\,euro$: $45\%$

  4. $48320\,euro$ and above: $50\%$

Numerical Tax Example

For a single person with a taxable income of $50000\,euro$ and an exempted amount of $10000\,euro$:

• $0-10000\,euro$: $0\% = 0\,euro$

• $10000-30000\,euro$ (Bracket 1): $25\% \text{ of } 20000 = 5000\,euro$

• $30000-40000\,euro$ (Bracket 2): $40\% \text{ of } 10000 = 4000\,euro$

• $40000-50000\,euro$ (Bracket 3): $45\% \text{ of } 10000 = 4500\,euro$

• Total Tax: $13500\,euro$

• Average Tax Rate: $\frac{13500}{50000} = 27\%$

• Marginal Tax Rate: $45\%$

Other Specific Taxes (Belgium)

• Capital Income Tax:

  • Immovable property: Based on "cadastral income" (estimated rental value) at a rate of $3.97\%$

  • Movable property: Tax on dividends/stocks; standard rate is $30\%$. Savings accounts have an exempted amount of about $1000\,euro$.

  • Solidarity Contribution: A new capital gains tax of $10\%$.

• Capital Transfer Tax:

  • Registration Tax: In Flanders, $2\%$ or $12\%$. In Brussels/Wallonia, $12.5\%$ or $3\%$.

  • Inheritance Tax: Calculated based on the relationship to the deceased.

• Corporate Income Tax: Standard rate of $25\%$.

• Value Added Tax (VAT):

  • Newspapers: $0\%$

  • Bread/Fruits (Food in shop): $6\%$

  • Restaurant food: $12\%$

  • Standard consumption: $21\%$

  • Note: VAT is generally not progressive.

Measuring Income Inequality

Tools and Concepts

• Pen’s Parade: A visualization of income where every person's height is proportional to their income, marching past in one hour. Most people are "dwarfs," with "giants" appearing only in the final seconds.

• Lorenz Curve:

  • Horizontal axis: Cumulative share of population (poor to rich).

  • Vertical axis: Cumulative share of income.

  • The $45^{\circ}$ line represents maximal equality. The further the curve bows away from this line, the higher the inequality.

• Gini Coefficient:

  • Calculated as $\frac{A}{A + B}$ where $A$ is the area between the equality line and the Lorenz curve.

  • $0 = \text{complete equality}$; $1 = \text{complete inequality}$.

  • Belgium’s Gini coefficient is approximately $0.262$.

The Paradox of Inequality in Belgium

• Official Figures: Show relatively low and stable inequality.

• Perception: Public perception is that inequality is high and increasing.

• Explanation: Official data (EU-SILC) captures labor income well but often misses capital income. Inequality in capital income is much higher and is currently increasing.

Global Trends

• Global inequality is high (Gini around $0.70$), though the trend is debated among researchers like Milanovic and Lakner.

• In Africa, VAT is the most important revenue source ($29.7\%$ of tax revenue on average), while OECD countries rely more on personal income tax and social insurance taxes.