Drawback of Social Welfare Function

The Rawlsian social welfare function measures societal well-being by focusing on the utility of the least advantaged individual. In a society with three individuals whose utilities are five, three, and one, the function values overall welfare as one, representing the worst-off member's utility. Any policy increasing this individual's utility, even marginally, improves social welfare under this framework.

Utilitarianism aims to maximize total or average utility across society, while the Rawlsian approach prioritizes improving the least advantaged member's welfare. A utilitarian policy might increase overall utility even if it worsens inequality, whereas a Rawlsian policy rejects such measures if they fail to benefit the worst-off. This difference leads to divergent policy recommendations between the two frameworks.

The Rawlsian social welfare function reflects egalitarianism, a philosophy advocating equal allocation of goods to reduce disparities. By focusing exclusively on the least advantaged member's welfare, it seeks to promote equitable resource distribution. This approach aligns with Rawls's theory of justice, which posits that a just society should prioritize improving conditions for its most disadvantaged individuals.

Social welfare functions depend on subjective judgments about inequality and fairness that vary among societies and policymakers. Utility is inherently personal and differs from person to person, making it conceptually challenging to combine individual utilities into a single welfare measure. These subjective differences mean different societies may reach vastly different conclusions about what constitutes desirable outcomes.

Different social welfare functions can produce vastly different conclusions about desirable outcomes. A Rawlsian approach may reject policies that increase average utility if they fail to benefit the least advantaged members. This creates challenges in reaching consensus on policy decisions, as the framework prioritizes the worst-off individual's welfare over aggregate gains to society.

Implementing policies solely based on the least advantaged member's welfare may neglect potential benefits to other individuals, possibly leading to inefficiencies. While this approach reduces disparities, it can overlook broader societal gains. Additionally, determining the welfare of individuals involves inherently subjective judgments, making practical application of the Rawlsian framework challenging for policymakers.

Combining individual utilities poses conceptual challenges because utility is inherently subjective and varies from person to person. Each individual experiences satisfaction differently, making it difficult to aggregate utilities into a meaningful social welfare measure. This fundamental subjectivity undermines the objectivity that social welfare functions attempt to provide when evaluating societal well-being.