Recommended resources
The freely available resources this lesson will direct you to.
Introduction
Hello and welcome back. In our previous lesson, we established the core principles of prioritarianism. We saw that it modifies the utilitarian social welfare function by applying a strictly increasing and concave transformation, , to individual well-being. This mathematical feature ensures that benefits to the worse-off are given greater moral weight, thereby satisfying the Pigou-Dalton principle, which simple utilitarianism violates. We ended by seeing a preliminary application in the "fair innings" argument for public health.
Today, we will build directly on that foundation to meet our learning outcome: to compare utilitarian and prioritarian approaches to a policy problem, such as healthcare allocation. We will move from the "what" of prioritarianism to the "how," examining its real-world implications when resources are scarce and lives are at stake.
We'll begin with a conceptual application set during the recent pandemic, which highlights the intuitive differences between the two frameworks. Then, we will dive into a more rigorous quantitative model from health economics. Given your background in economics and statistics, this second part will allow us to see precisely how these philosophical stances are operationalized in formal policy analysis, complete with social welfare functions and sensitivity analysis.
1. Conceptual Application: Resource Allocation in a Pandemic
The COVID-19 pandemic presented a stark and immediate case study in justice and resource allocation. When ventilators, vaccines, or ICU beds are scarce, on what basis should we decide who receives them? This is not a theoretical puzzle; it's a life-or-death policy choice.
A utilitarian approach might aim to maximize the total health benefits produced, often measured in Quality-Adjusted Life Years (QALYs). A prioritarian approach, while also seeking to improve well-being, would focus on helping those who are worst off.
The following article provides a clear, non-technical comparison of these approaches in the context of the pandemic.
Justice in Healthcare Resource Allocation During Pandemics
The article 'Justice in Healthcare Resource Allocation During Pandemics' by Yixi Wang offers a concise argument for prioritarianism in this high-stakes context. It uses a simple but powerful example to illustrate the core difference in moral focus.
Please read the 'Introduction' and the section 'Moral principles for healthcare resource distribution' (subsections 2.1 and 2.2). Then, read the 'Discussion: Why prioritize the worse-off?' section carefully. Pay close attention to the example of Patients A and B and the use of the Health Utilities Index (HUI).
As the article demonstrates, the two frameworks can diverge significantly.
- Utilitarianism focuses on maximizing the absolute gain in health. If allocating a resource to a healthier person is expected to produce more QALYs than giving it to a sicker person, a strict utilitarian calculus would favor the healthier person.
- Prioritarianism, by contrast, is concerned with the moral value of that gain. The article highlights the concept of relative improvement. For Patient A, whose health is at 0.20, an improvement of 0.20 is a 100% relative gain. For Patient B, starting at 0.60, the same absolute gain is only a 33% relative improvement. The prioritarian claims that the first gain is morally more significant because it goes to someone at a much lower level of well-being.
The core of the prioritarian argument here is that the moral value of a benefit is not constant; it depends on the recipient's starting point.
The article also raises two crucial practical questions for any prioritarian scheme:
- How do we identify the "worse-off"? Is it purely based on current health status, or should we consider other factors like socioeconomic disadvantage or social role (e.g., frontline healthcare workers)?
- How much priority should be given? Should it be an absolute priority, or a weighted system? Giving all resources to the worst-off could lead to highly inefficient outcomes overall.
This tension between efficiency and priority is central to the debate and brings us back to your interest in finding the "least bad points" or optimal trade-offs. To explore this more formally, we can turn to the tools of health economics.
2. Quantitative Comparison: A Health Economics Model
While the conceptual example is intuitive, your background allows us to go deeper. Health economists have developed sophisticated models to evaluate policies that combine philosophical principles with empirical data. These models operationalize the abstract social welfare functions we've been discussing.
Let's examine a detailed case study that compares utilitarian and prioritarian evaluations of a cancer treatment program.
This resource is a technical chapter that walks through the construction of a quantitative policy evaluation. It will show you how concepts like Cost-Effectiveness Analysis (CEA) and Benefit-Cost Analysis (BCA) relate to utilitarianism and how prioritarianism can be integrated to produce different results.
Chapter 6 Prioritarian Analysis in Health
This chapter, 'Prioritarian Analysis in Health', is from a program on 'Prioritarianism in Practice'. It presents a practical, quantitative approach to policy evaluation. We will use it to see how the philosophical choice between utilitarianism and prioritarianism translates into numbers in a realistic model.
This is a dense resource, so we'll focus on the key sections that illustrate the comparison. First, read Section 6.2 ('Background on standard economic evaluation in the health sector'). This will familiarize you with the standard tools like CEA, BCA, and HALYs. Notice the statement that standard CEA embodies the value judgment that 'a HALY is a HALY is a HALY,' which is fundamentally utilitarian. Next, jump to Section 6.4 ('Illustrative example - cancer in Ethiopia') and read up to and including Section 6.4.5 ('Summary results'). This is the core of our analysis. Focus on understanding: The policy choice: Out-of-pocket payment (OOP) vs. Universal Public Funding (UPF). The utilitarian baseline in Table 6.2 (the standard CEA result). The central comparison in Table 6.4 ('Summary per capita results...'). This table is the key takeaway. Pay close attention to how the results change as the 'gamma' parameter changes.
Let's break down the crucial findings from Table 6.4. This table essentially runs a simulation of the policy choice under different moral assumptions. The "Equally Distributed Equivalent" (EDEw) is a measure of social welfare; higher is better. The gamma parameter () represents the degree of priority given to the worse-off. You can think of it as controlling the concavity of the transformation function .
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When , we have pure utilitarianism. The transformation function is linear, so there is no special priority for the worse-off. Here, UPF is slightly preferred to OOP. Why? Because the model assumes the poorest quintile cannot afford treatment under OOP. UPF brings them into treatment, generating a net increase in total health (and well-being) that outweighs the costs. A pure utilitarian cares about this total increase.
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When , we have prioritarianism. As gamma increases, society's "inequality aversion" or "priority for the worse-off" increases. Notice what happens to the EDEw figures:
- For both OOP and UPF, the EDEw value decreases as gamma rises. This is because EDEw accounts for the "cost" of inequality. A more inequality-averse SWF sees the existing inequality as a larger drag on overall social welfare.
- Crucially, the gap between UPF and OOP widens significantly as gamma increases. Under the utilitarian view (), UPF is only marginally better. But under a strongly prioritarian view (), UPF is substantially better.
This happens because the UPF policy is progressive. It helps the worst-off (the sick and the poor) at the expense of the better-off (the healthy and the rich, who pay taxes). A utilitarian only cares about the net sum of this transfer. A prioritarian gives extra moral weight to the benefits received by the poor and sick, and thus values the progressive nature of the policy itself.
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A summary of the per capita results from the health economics model. The gamma parameter controls the level of priority given to the worse-off, with γ=0 representing utilitarianism. EDEw (Equally Distributed Equivalent well-being) is the level of social welfare. The table compares the two policies (OOP vs. UPF) under different moral weighting schemes.
Test your understanding!
Looking at the 'Equivalent Life' columns in Table 6.4, the utilitarian () advantage of UPF over OOP is 0.5 Well-Being QALYs (64.3 - 63.8). When , the advantage is 1.3 QALYs (61.8 - 60.5).
Why does the prioritarian framework assign a greater marginal benefit to choosing UPF over OOP, even though the underlying health and income effects are the same in all simulations?
Show answer
The prioritarian framework doesn't just add up the changes in well-being; it first transforms them through a concave function. The UPF policy delivers its benefits disproportionately to those who are worse-off (the low-income cancer patients who couldn't otherwise afford treatment). The costs (taxes) are spread across the healthier and wealthier population.
Because of the concave transformation, the well-being gains for the worst-off are magnified in moral importance, while the well-being losses for the better-off are diminished. As gamma increases, this magnifying/diminishing effect becomes more pronounced. Therefore, the progressive distribution of UPF's effects becomes more and more valuable from a social welfare perspective. The utilitarian framework, by contrast, is indifferent to this distributional pattern, caring only that the sum of gains is slightly larger than the sum of losses.
This model powerfully illustrates that the choice is not just between policies, but between the moral frameworks used to evaluate them. Standard Cost-Effectiveness Analysis, as the paper notes, is not sensitive to this kind of progressive redistribution. A prioritarian analysis, by its very nature, is.
Conclusion
In this lesson, we have moved from the theory of prioritarianism to its application, directly comparing it with utilitarianism in the context of healthcare allocation.
Key Takeaways:
- When allocating scarce resources, a utilitarian approach tends to focus on maximizing total benefits (e.g., total QALYs), which may favor those with better prognoses or who are healthier to begin with.
- A prioritarian approach systematically favors the worse-off. It values a benefit not just for its size, but also for who receives it, giving greater moral weight to improving the well-being of those at the bottom.
- We saw this demonstrated conceptually in allocating pandemic resources, where prioritarianism focuses on the relative improvement for the most vulnerable.
- We then saw it demonstrated quantitatively in a health economics model, where increasing the "priority" parameter () made a progressive policy (Universal Public Funding) increasingly favorable over a less equitable one (Out-of-Pocket).
This comparison reveals a fundamental trade-off in policy evaluation: one between maximizing the total sum of good (an efficiency concern, central to utilitarianism) and ensuring that benefits are distributed in a way that helps the most disadvantaged (a distributive justice concern, central to prioritarianism). The choice of framework is a choice about which of these values to prioritize.
Preview of the next lesson:
We have spent the last two lessons working with Social Welfare Functions (SWFs) as a way to formalize and compare moral theories. We've treated them as a given tool. But can we actually construct a SWF that is both rational and fair? The next lesson tackles this foundational question by exploring Arrow's Impossibility Theorem. This landmark result from social choice theory investigates whether it's possible to aggregate individual preferences into a single, coherent social preference ordering that satisfies a set of seemingly simple and desirable conditions. The conclusions are surprising and have profound implications for the entire project of quantitative political and moral theory.