Bergson–Samuelson Social Welfare Function

A framework in welfare economics that represents collective preferences and societal well-being.

Background

The Bergson–Samuelson social welfare function is an important concept within welfare economics, a branch of economic theory that evaluates the economic state from a normative perspective, focusing on what is socially desirable.

Historical Context

The term and concept were developed by Abram Bergson in 1938 and further refined by Paul Samuelson during the mid-20th century. Both economists aimed to provide a systematic and formulated approach to quantifying and comparing societal well-being, integrating various individual preferences into a single framework.

Definitions and Concepts

Bergson–Samuelson Social Welfare Function (SWF) represents a way to aggregate individual preferences and utilities into a single measure of societal welfare. It assigns a numeric value to the welfare of a society based on distributions of utility or income among individuals.

Major Analytical Frameworks

Classical Economics

Classical economics, with its focus on objective wealth measures such as Gross Domestic Product (GDP), does not extensively incorporate social welfare functions. The emphasis was on productivity and market efficiencies rather than utility or individual well-being distribution.

Neoclassical Economics

Neoclassical economics laid the groundwork for considering individual utility in economic analysis. The Bergson–Samuelson function fits well within this paradigm by using utility functions to represent individual preferences and integrate them into a social welfare function.

Keynesian Economics

Keynesian economics, concerned with output, employment, and aggregate demand, generally focuses on macroeconomic stability and growth, often advocating policies that can improve societal welfare. The social welfare function can be used to evaluate the impact of Keynesian policies on overall welfare.

Marxian Economics

Marxian economics primarily critiques the capitalist system and is concerned with class struggle and the distribution of resources. Although it does not specifically use social welfare functions, it seeks to understand and enhance the well-being of a different social framework.

Institutional Economics

Institutional economics emphasizes the role of institutions in shaping economic behavior. The Bergson–Samuelson social welfare function could integrate institutional factors that impact social welfare, such as laws, social norms, and cultural values.

Behavioral Economics

Behavioral economics, which studies how psychological factors impact economic decisions, can inform the way individual utilities are considered in the social welfare function. Insights from behavioral economics can make the SWF more representative of true individual preferences and well-being.

Post-Keynesian Economics

Post-Keynesian economists emphasize the importance of distributional issues and long-term planning in economic policy. The social welfare function can be developed to reflect concerns with economic inequality and policies targeted for equitable growth.

Austrian Economics

Austrian economics places a greater emphasis on individual markets and individual preferences rather than aggregate measures. They would likely critique the SWF for possibly misrepresenting subjective preferences due to its aggregation process.

Development Economics

Development economics focuses on improving the economic conditions of low-income countries. The Bergson–Samuelson function can be employed to evaluate the social welfare implications of development policies, particularly in terms of income distribution, poverty alleviation, and overall well-being.

Monetarism

Monetarism, with its emphasis on controlling the money supply to manage economic stability, generally does not directly focus on social welfare functions. However, the impact of monetary policies on individual and social welfare can still be analyzed through a SWF framework.

Comparative Analysis

The Bergson–Samuelson social welfare function is unique in its operationalization, as it attempts to condense varying individual utilities into one function. Its acceptance and application vary across different schools of thought, from being fully integrated in neoclassical and welfare economics to less directly employed in Austrian and Marxian frameworks.

Case Studies

Several case studies can illustrate the application of the Bergson–Samuelson social welfare function:

  • Evaluating the welfare impact of progressive tax policies.
  • Analyzing the welfare effects of different public goods provision strategies.
  • Assessing the redistributive impacts of social safety nets.

Suggested Books for Further Studies

  1. “Foundations of Economic Analysis” by Paul A. Samuelson
  2. “A Theory of Public Goods” by Richard Cornes and Todd Sandler
  3. “Welfare Economics” by E.J. Mishan and Euston Quah
  4. “Social Welfare and Demand Functions” by Hans Hagemann
  • Social Welfare Function (SWF): A function that ranks societal states based on the individual utilities of members of society.
  • Utility: A measure of individual satisfaction or happiness.
  • Welfare Economics: A branch of economics that focuses on the optimal allocation of resources and goods to improve social welfare.
  • Pareto Efficiency: A state where no individual’s welfare can be improved without