Section 1

Economics of Health and Health Care Systems Comprehensive Exam - Cheatsheet

STUDY GUIDE

🎓 Economics of Health and Health Care Systems - Study Guide

📋 Course Structure


code
📚 Economics of Health and Health Care Systems
├── 📖 Chapter 1: The Production Function of Health
│   ├── 🔹 Mathematical Modeling of Health Production
│   ├── 🔹 Historical Determinants of Mortality Decline
│   └── 🔹 Modern Contributions of Medical Care
├── 📖 Chapter 2: The Grossman Model of Health Capital
│   ├── 🔹 Health as a Consumption and Investment Good
│   ├── 🔹 Time Constraints and the Production of Health
│   └── 🔹 Equilibrium and the Cost of Capital
├── 📖 Chapter 3: Socioeconomic Determinants: Education, Income, and Obesity
│   ├── 🔹 The Role of Schooling in Health Production
│   ├── 🔹 Income, Environment, and Social Capital
│   └── 🔹 Obesity as Human Capital Deterioration
├── 📖 Chapter 4: Economic Evaluation: CBA and CEA
│   ├── 🔹 Principles of Cost-Benefit Analysis (CBA)
│   ├── 🔹 Discounting and Present Value
│   └── 🔹 Cost-Effectiveness and Cost-Utility Analysis
└── 📖 Chapter 5: Valuing Human Life and Quality of Life
    ├── 🔹 Valuing Human Life (VSL)
    ├── 🔹 QALYs and DALYs Mechanics
    └── 🔹 Equity, Efficiency, and Critiques

Section 2

📖 Chapter 1: The Production Function of Health

What this chapter covers: This chapter establishes the mathematical relationship between health inputs and outcomes. It analyzes the "Health Production Function" where health status is a result of medical care, lifestyle, and environment. A core focus is the Law of Diminishing Marginal Returns and the historical debate (McKeown Thesis) regarding whether medical technology or improved nutrition drove the 19th-century mortality decline.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Production Function	$HS = f(HC, L, E, B)$	Modeling health status ( $HS$ )	$HS$ should increase with $HC$
Marginal Product	$MP_{HC} = \frac{\partial HS}{\partial HC}$	Measuring impact of extra €1	$MP$ decreases as $HC$ increases
Health Elasticity	$E = \frac{\% \Delta HS}{\% \Delta Exp}$	Comparing spending impact	Usually between $0.1$ and $0.3$
Iatrogenesis	$MP_{HC} < 0$	High-risk medical scenarios	Net harm from intervention

🛠️ Problem Types

Type A: Calculating Marginal Returns and the "Flat of the Curve"

Setup: "When you encounter a set of health outcomes (e.g., life expectancy) corresponding to increasing levels of health care expenditure."

Method: Calculate $MP = \frac{HS_n - HS_{n-1}}{Exp_n - Exp_{n-1}}$ . Identify the point where $MP$ begins to approach zero, signifying the 'flat of the curve' where additional spending yields negligible gains.

Example: If spending €10,000 results in 80 years of life and €20,000 results in 81 years, $MP = \frac{1}{10,000} = 0.0001$ years per Euro.

Type B: Historical Mortality Analysis

Setup: "If presented with historical data on disease decline and the introduction of medical technology."

Method: Apply the McKeown Thesis. Check if the mortality rate for a disease (e.g., Tuberculosis) fell significantly before the introduction of its vaccine or antibiotic. If so, attribute the decline to non-medical factors like nutrition or public health.

🧮 Solved Example

Problem: A country increases its pharmaceutical spending by 20%. If the elasticity of adult mortality with respect to drug consumption is $0.2$ , and the current life expectancy is 75 years, what is the expected new life expectancy?

Given: $\% \Delta Exp = 20\%$ , $E = 0.2$ , $HS_{initial} = 75$

Steps:

Use elasticity formula: $E = \frac{\% \Delta HS}{\% \Delta Exp} \to 0.2 = \frac{\% \Delta HS}{20\%}$
Solve for $\% \Delta HS$ : $\% \Delta HS = 0.2 \times 20\% = 4\%$
Calculate absolute gain: $\Delta HS = 75 \times 0.04 = 3$ years
Final result: $75 + 3 = 78$ years

"

✅
Answer: 78 years.

⚠️ Common Mistakes

❌ Mistake 1: Confusing Total Contribution with Marginal Product.

✅ How to avoid: Remember that while medical care is essential (high total contribution), the last Euro spent often has a very low $MP$ (diminishing returns).

❌ Mistake 2: Ignoring the time-lag in historical data.

✅ How to avoid: Always check the date of the medical innovation versus the trend line of mortality reduction.

🦁 Erik's Tip

When discussing the McKeown Thesis, remember the "Waaler Curve." It links height (nutrition proxy) to life expectancy. If a question asks for non-medical drivers, nutrition and "Urban Deficit" infrastructure are your best bets.

📖 Chapter 2: The Grossman Model of Health Capital

What this chapter covers: This chapter treats health as a durable capital stock that depreciates over time. Individuals "produce" health using time and market inputs. It distinguishes between health as a consumption good (feeling good) and an investment good (increasing productive time). The model explains how age, wages, and education determine the optimal level of health an individual chooses to maintain.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Time Constraint	$T = T_W + T_Z + T_H + T_S$	Allocating hours in a day	Sum must equal 24 hours
Productive Time	$T_P = T - T_S$	Measuring labor potential	$T_P$ increases as $H$ rises
Cost of Capital	$Cost = r + \delta$	Equilibrium health stock	$r$ is interest, $\delta$ is depreciation
MEI Condition	$\gamma = r + \delta$	Finding optimal health $H^*$	$\gamma$ is marginal return

🛠️ Problem Types

Type A: Equilibrium Shifts in Health Capital

Setup: "When you encounter a change in an exogenous variable like age ( $\delta$ ) or wage ( $w$ )."

Method: Use the MEI diagram. An increase in age increases $\delta$ , shifting the $(r + \delta)$ line upward, leading to a lower $H^*$ . An increase in wage increases the return on healthy days, shifting the MEI curve right, leading to a higher $H^*$ .

Example: Why do high-wage CEOs exercise more? Their opportunity cost of being sick ( $T_S$ ) is higher, so their MEI is higher.

Type B: Time Allocation Analysis

Setup: "If given specific values for time spent sick and time spent on health production."

Method: Calculate $T_P$ . Analyze the trade-off between $T_W$ (income) and $T_Z$ (leisure). Note that $T_H$ (time at gym/doctor) is an investment that reduces $T_S$ .

🧮 Solved Example

Problem: An individual faces an interest rate $r = 0.05$ and a health depreciation rate $\delta = 0.10$ . If their Marginal Efficiency of Investment is given by $\gamma = 0.30 - 0.01H$ , what is their optimal health stock $H^*$ ?

Given: $r = 0.05$ , $\delta = 0.10$ , $\gamma = 0.30 - 0.01H$

Steps:

Set MEI equal to the cost of capital: $\gamma = r + \delta$
Substitute values: $0.30 - 0.01H = 0.05 + 0.10$
Simplify: $0.30 - 0.01H = 0.15$
Solve for $H$ : $0.15 = 0.01H \to H^* = 15$

"

✅
Answer: $H^* = 15$

⚠️ Common Mistakes

❌ Mistake 1: Treating health as a flow rather than a stock.

✅ How to avoid: Remember that health ( $H$ ) lasts across periods, while the "home good" ( $Z$ ) is consumed immediately.

❌ Mistake 2: Forgetting that depreciation ( $\delta$ ) increases with age.

✅ How to avoid: In the Grossman model, death is endogenous; it occurs when the cost of maintenance ( $r + \delta$ ) exceeds any possible return from health.

🦁 Erik's Tip

Think of health like a car. The "investment motive" is using the car to get to work (earn money). The "consumption motive" is enjoying a Sunday drive (feeling good). Retirement removes the work motive, which is why health stock often drops after one stops working.

📖 Chapter 3: Socioeconomic Determinants: Education, Income, and Obesity

What this chapter covers: This chapter applies economic models to explain the "gradient"—the fact that wealthier, more educated people are healthier. It contrasts Grossman’s Efficiency Theory with Fuchs’s Time Preference Theory. It also examines the economic causes of the obesity epidemic, focusing on the declining "time cost" of food and the impact of the environment.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Productive Efficiency	More $H$ from same inputs	Education's role (Grossman)	MEI curve shifts right
Allocative Efficiency	Better choice of inputs	Education's role	Better diet/exercise mix
Time Preference	Discount rate ( $d$ )	Fuchs's Theory	Low $d$ = high $H$ and high $Edu$
Time Cost of Food	$Price_{Total} = P_m + (w \times T_f)$	Obesity analysis	$T_f$ is prep time

🛠️ Problem Types

Type A: Distinguishing Efficiency vs. Time Preference

Setup: "Does education cause health, or does a third factor cause both?"

Method: If the argument is that education makes you a better 'producer' (shifting MEI), it is Grossman. If the argument is that patient people choose both school and health, it is Fuchs. Use Lleras-Muney’s study (compulsory schooling) as evidence for the causal (Grossman) link.

Type B: Economic Drivers of Obesity

Setup: "Analyze why obesity rates have risen despite stable physical activity."

Method: Focus on the supply side. 1) Real price of calories has fallen. 2) Technological change in food processing reduced $T_f$ (preparation time), lowering the "full price" of food.

🧮 Solved Example

Problem: A worker earns €20/hour. A home-cooked meal costs €5 in ingredients and 1 hour to prepare. A fast-food meal costs €10 and 0 minutes to prepare. Which is economically cheaper?

Given: $w = €20$ , $P_{home} = €5, T_{home} = 1hr$ , $P_{fast} = €10, T_{fast} = 0$

Steps:

Calculate full price of home meal: $€5 + (1 \times €20) = €25$
Calculate full price of fast food: $€10 + (0 \times €20) = €10$
Compare: Fast food is €15 cheaper in "full cost" terms.

"

✅
Answer: Fast food is the rational economic choice despite higher market price.

🦁 Erik's Tip

For the exam, remember the "Fetal Origins Hypothesis." It suggests that health capital is partially "endowed" at birth based on the mother's environment (e.g., Ramadan fasting or pollution exposure), which sets the initial $H_0$ for the Grossman model.

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Economics of Health and Health Care Systems Comprehensive Exam - Cheatsheet

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Economics of Health and Health Care Systems Comprehensive Exam - Cheatsheet

🎓 Economics of Health and Health Care Systems - Study Guide

📋 Course Structure

📖 Chapter 1: The Production Function of Health

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

🦁 Erik's Tip

📖 Chapter 2: The Grossman Model of Health Capital

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

🦁 Erik's Tip

📖 Chapter 3: Socioeconomic Determinants: Education, Income, and Obesity

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

🦁 Erik's Tip

4 more sections