Generalized Axiom of Revealed Preference (GARP)

An examination of the Generalized Axiom of Revealed Preference as a fundamental principle in consumer choice theory.

Background

The Generalized Axiom of Revealed Preference (GARP) extends the traditional concepts of revealed preference theory, providing a broader framework for analyzing consumer behavior. It refines our understanding of how individual choices can be interpreted to reflect consistent preferences.

Historical Context

Revealed preference theory dates back to Paul Samuelson’s work in the 1930s and 1940s. This theory was initially formulated to sidestep the need for utility functions by focusing strictly on observable consumer behavior. GARP, developed later, refines the original axiom by introducing stronger consistency conditions applicable to a wider array of consumption choices.

Definitions and Concepts

  • Revealed Preference: A theory that defines consumer preferences based on observed choices, assuming that selected goods or bundles illustrate higher preferences over non-chosen alternatives.
  • GARP: It extends the Weak Axiom of Revealed Preference (WARP) to more comprehensive scenarios, ensuring that sets of chosen bundles remain transitive and consistent over a broader spectrum.

Major Analytical Frameworks

Classical Economics

Classical economics relied on utility functions but did not extensively explore revealed preference since it approached analysis from a macroeconomic perspective.

Neoclassical Economics

This school of thought embraced revealed preference theory, using it for consumer demand analysis without making complex assumptions about utility. GARP represents an advancement in neoclassical models by ensuring more robust logic.

Keynesian Economics

Keynesian Economics, largely focused on aggregate demand, did not significantly integrate revealed preference models given its macroeconomic slant.

Marxian Economics

Marxian analysis, emphasizing production relations and class struggle, has limited applications of revealed preference theories, although modern adaptations occasionally consider consumer behavior within capitalist systems.

Institutional Economics

While typically more focused on the role of institutions over individual choices, some institutionalists analyze consumer behavior through a revealed preference lens to understand how norms and policies shape market outcomes.

Behavioral Economics

Behavioral economics, which often critiques the rationality assumption inherent in revealed preference theory, nonetheless might use the framework to identify departures from rational choice.

Post-Keynesian Economics

Emphasizing fundamental uncertainty and historical time, Post-Keynesian Economics generally does not focus heavily on revealed preference, which assumes consistent consumer behavior over time.

Austrian Economics

Erring on individualism, Austrian Economics typically relies on subjective value theory rather than objective revealed preferences though some overlaps exist in understanding bounded rationality.

Development Economics

Revealed preferences, including GARP, can help in understanding consumer choices in different economic settings, aiding developmental policy analysis.

Monetarism

While primarily concerned with monetary policy, monetarists could employ revealed preference principles in assessing aggregate consumption trends affected by monetary variables.

Comparative Analysis

GARP provides a more sophisticated toolkit compared to WARP, offering refined predictions and consistency checks on observed consumption patterns, which can lead to more precise microeconomic analysis.

Case Studies

Case studies might include empirical analyses of consumer expenditures under different income and pricing scenarios to validate the applicability of GARP in contemporary consumption models.

Suggested Books for Further Studies

  • Samuelson, Paul A. “Foundations of Economic Analysis”
  • Mas-Colell, Andreu, et al. “Microeconomic Theory”
  • Varian, Hal R. “Microeconomic Analysis”
  • Weak Axiom of Revealed Preference (WARP): A foundational principle in revealed preference theory asserting that if a bundle X is chosen over Y, then Y should not be chosen over X if both are available.
  • Utility Function: A representation of consumer preferences, traditionally yielding a utility value to every possible bundle of goods, facilitating comparison.
Wednesday, July 31, 2024