Lecture 12 Study Notes

Cooperation Benefits: When individuals voluntarily collaborate on a project, their cooperation fosters mutual benefits through exchange. Examples of such collaborative relationships include:
- Pirates (e.g., on The Rover)
- Landlords and peasants
- Buyers and sellers
- Capitalists and workers
Role of Institutions: Institutions dictate the following:
- Who does what: This establishes how mutual gains can occur.
- Who gets what: This determines how the mutual gains are shared.
Cultural Reference: Mention of "The Song of the Lark" by Jules Breton (1884), perhaps as a representation of effort and the fruits of labor.

Conceptual Framework: In the Pareto efficiency context concerning allocations where Angela has 16 hours of free time:
- Marginal Rate of Substitution (MRS) = Marginal Rate of Transformation (MRT)
- This indicates surplus maximization; no change can make one individual better off without it making another worse off.
Angela's Outcomes:
- 15 bushels as a forced laborer.
- 23 bushels when a voluntary worker.
- 32 bushels when farmers organize.
- 38 bushels with improved organization.
- 46 bushels as an independent farmer.
Graphical Representation: Connections through a curve labeled BB with points labeled L and D illustrating the various allocations and outcomes proposed.

Wealth Inequality Over Time: An analysis of the share of the top wealth decile in total net wealth from 1870 to 2010,
- A depicted graph tracking the wealth share of the top 10% across Europe and the U.S.

Definition: The Gini coefficient serves as a measure of inequality incorporating all data from the population:
$\text{Gini} = \frac{\text{average difference}}{2 \times \text{average value}}$
Calculation Example: For a population of three with variable incomes:
- Average difference = (8 + 10 + 2)/3 = 6
- Average value = (12 + 4 + 2)/3 = 6
- Therefore, Gini = ((20/3) / (2*6) = (20/36) = 0.56)
Extreme Case: If one person receives all income (18):
- Gini = (\frac{12}{2 \times 6} = 1)

Community Structure: Example involves 90 sharecroppers versus 10 landowners.
Illustration of Inequality: The Lorenz curve illustrates inequality by sorting the population from poorest to richest on the horizontal axis, with the vertical axis representing the cumulative share owned or received by the poorest X%.
Significance: The distance from the line of perfect equality illustrates the degree of inequality.

Measuring Inequality: The Gini coefficient represents the area between the Lorenz curve and the equality line:
$\text{Gini} = \frac{A}{A+B}$
where A is the area between the line of equality and the Lorenz curve, and B is the area under the Lorenz curve.
Interpretation: A Gini of 0 indicates perfect equality, while values closer to 1 indicate increasing inequality.

Task: Analyze three distributions of land ownership in a village of 100 people and 100 hectares.
Cases:
- Case I: 80 people own nothing; 20 people own 5 hectares each.
- Case II: 40 people own nothing, 40 people own 1 hectare each; 20 people own 3 hectares each.
- Case III: 100 people own 1 hectare each.
Lorenz Curve Drawing: Required for each case.
Gini Calculation: Calculate for cases I and III, interpret the implications for case II on the Lorenz curve.

Cumulative Shares: A snapshot of cumulative share owned by the bottom demographic exhibiting differing distributions for each case, highlighting the Gini coefficient for each distribution:

Resource Allocation: Institutions determine how resources are allocated.
- The pirate ship "Royal Rover" made cooperative decisions and shared spoils evenly.
- British Navy ships operated with hierarchy and unequal spoils distribution.
Gini Comparison: Various Gini coefficients for institutions:
- Pirate ship Royal Rover: 0.06
- British Navy ship Active: 0.59
- British Navy Ship Favourite: 0.60
- Village of sharecroppers: 0.90

Government Interventions: The government can reduce income inequality via:
- Progressive taxation
- Means-tested transfers
Gini Coefficient of the Netherlands:
- Market income: 0.40
- Disposable income: 0.31
Income Distribution: The poorest fifth receives approximate shares of:
- 4% from market income
- 8% of disposable income
Question for Debate: Is redistribution beneficial?

Background: Outline of Bengali sharecroppers (bargadars) before and after reform (1700 - 1970):
- Pre-reform characteristics: 50% of harvest retained by sharecroppers.
- POverty rate: 73% in rural population.
Legislation: In 1978, the Left Front government passed a law ensuring:
- 75% of crops reserved for sharecroppers.
- Protection from eviction.
Outcomes of Reform: Produced increased incentives for:
- Effort and land improvement investments.
- Research attributes 28% of agricultural productivity increase to this reform.

Strength of Institutions: Insights from Angela and Bruno stories alongside Bengali sharecroppers teach:
- Allocations dictated by one party tend to allow that party to capture the entire surplus.
- Political engagement by exploited groups may help improve their economic standings.
- Reducing inequality can logically increase surplus but rarely leads to a Pareto improvement.
- The balance of egalitarian versus hierarchical institutions relies heavily on fairness perceptions.

Next Steps: Prepare for the upcoming discussion on the structure of firms, including:
- Reviewing Units 6.0-6.3
- Completing Quiz 2.2
- Engaging in Discussion 2.2
- Previewing Homework 2.2
- Reminder regarding the due date for the social dilemma essay (next Monday).

Historical Example: 1951 case where 2% of landowners held 72% of arable land.
- President Árbenz's land distributions to landless peasants in 1952.
Political Backlash: 1954 US-backed coup reversed land reforms.

Demographics: Statistics regarding students attending CSU highlight:
- Median family income: $122,000
- Average income percentile: 76th
- Number of students from top income percentiles.
Mobility Statistics:
- Median income at age 34: $45,800
- Various percentiles categorized by mobility outcomes and income.
Comparative Analysis: CSU's standing among selective public colleges regarding mobility outcomes and poverty statistics, emphasizing need for future improvements.