Feasible Set

The set of allocations that satisfies all the constraints in an economic model.

Background

In economics, a “feasible set” represents an essential concept that encompasses all possible allocations or plans that adhere to certain predefined constraints within an economic model. This term is widely applicable across different areas of economic study, including consumer choice theory, production theory, and general equilibrium theory.

Historical Context

The concept of the feasible set emerged prominently with the development of modern microeconomics, tying closely with works on consumer choice and the general equilibrium theory in the early 20th century. Notable contributions by economists such as Léon Walras and Vilfredo Pareto expanded the understanding of constraints in an economy and how they shape the sets of possible allocations.

Definitions and Concepts

The “feasible set” refers to:

  1. General Definition: The set of allocations that satisfies all the constraints in an economic model.
  2. Consumer Context: For a consumer, the feasible set includes all consumption plans fitting within the individual’s budget constraint.
  3. Exchange Economy: In an exchange economy, the feasible set can be visually represented using an Edgeworth box, illustrating all combinations of goods that both parties can mutually benefit from, considering their endowments and preferences.

Major Analytical Frameworks

Classical Economics

Classical economists concentrated primarily on production capabilities and constraints within an economy, indirectly touching on the feasible set through ideas of production possibilities and efficient allocation.

Neoclassical Economics

Neoclassical economics centralizes the concept of the feasible set in consumer choice theory, examined through budget constraints. By applying utility maximization, consumers typically choose a bundle within their feasible set.

Keynesian Economic

While focusing largely on macroeconomic concerns, Keynesian economics incorporates feasible sets when considering policy constraints and their implications on aggregate supply and demand.

Marxian Economics

Marxian theory discusses constraints in terms of class struggles and inherent limitations in capitalist modes of production, with feasible sets being argued on different principles like labor value theory.

Institutional Economics

Institutional economics may explore feasible sets on the basis of cultural and societal constraints, making an interdisciplinary approach relevant to institutional norms.

Behavioral Economics

Behavioral economics challenges traditional definitions, stretching feasible sets by incorporating often irrational human behaviors and psychological constraints.

Post-Keynesian Economics

Post-Keynesian focuses on macro-level constraints such as demand-driven constraints affecting feasible sets for economies and specific industries.

Austrian Economics

In Austrian economics, feasible sets relate closely to individual choice, based on subjective values, and time preferences reflecting dynamic constraints over time.

Development Economics

Feasible sets in development economics emerge when assessing constraints faced by developing economies including resources, technology, and institutional frameworks necessary for growth.

Monetarism

Monetarists examine feasible sets in terms of aggregate constraints applied by monetary policy, influencing feasible outcomes in broader macroeconomic models.

Comparative Analysis

Each economic theory analyzes feasible sets through different lenses—consistent budget constraints in neoclassical, systemic socio-economic constraints in Marxian, or behavioral deviations in behavioral economics—all contributing nuanced understandings of what is allowable within any given set of constraints.

Case Studies

Case studies analyze consumer behavior, firm production choices, policy impacts, and national economic developments within the confines of their specific feasible sets. For instance, using an Edgeworth box diagram to explore trading behaviors between two consumers.

Suggested Books for Further Studies

  • “Microeconomic Theory” by Andreu Mas-Colell, Michael D. Whinston, and Jerry R. Green
  • “An Inquiry into the Nature and Causes of the Wealth of Nations” by Adam Smith
  • “Principles of Economics” by Alfred Marshall
  • “Capital, Volume I” by Karl Marx
  • “An Evolutionary Theory of Economic Change” by Richard R. Nelson, Sidney G. Winter
  • Constraint: A limitation or condition that must be satisfied within a model.
  • Budget Constraint: The constraint that consumer expenditures must equal income.
  • Edgeworth Box: A diagram used in microeconomics to show the distribution of resources for two individuals or economies.
  • Pareto Efficiency: An allocation of resources from which it is impossible to make any one individual better off without making at least one individual worse off.
  • General Equilibrium: A condition where supply and demand are balanced across all markets in the economy.

Quiz

### What does the feasible set represent in economics? - [x] All possible allocations that satisfy given constraints - [ ] Only the most optimal allocation - [ ] All possible allocations irrespective of constraints - [ ] Allocations only for firms > **Explanation:** The feasible set includes all allocations that meet the defined constraints in an economic model. ### Which tool is used to represent the feasible set in two-person exchange economies? - [x] Edgeworth Box - [ ] Phillips Curve - [ ] Laffer Curve - [ ] Lorenz Curve > **Explanation:** The Edgeworth Box is specifically used for visualizing the feasible set in simple exchange economies involving two individuals. ### True or False: A budget constraint affects the feasible set. - [x] True - [ ] False > **Explanation:** Budget constraints directly limit the set of feasible consumption plans available to a consumer. ### What is a specific type of constraint that shapes a feasible set for consumers? - [x] Budget Constraint - [ ] Supply Constraint - [ ] Demand Constraint - [ ] Production Constraint > **Explanation:** A budget constraint limits the spending possibilities of a consumer, shaping their feasible set. ### True or False: The feasible set in economics refers to unbounded opportunity. - [ ] True - [x] False > **Explanation:** The feasible set is limited by constraints, not unbounded. ### Which term is NOT directly related to feasible set? - [ ] Budget Constraint - [ ] Allocation - [ ] Constraints - [x] Interest Rate > **Explanation:** While interest rates may influence constraints, they are not a direct component of the feasible set concept. ### What historical field helped develop the concept of the feasible set? - [ ] Agriculture Economics - [ ] Behavioral Economics - [ ] Industrial Engineering - [x] Operations Research > **Explanation:** The concept draws extensively from operations research and linear programming. ### In a simple economy, which graphical tool can help visualize the feasible set? - [x] Edgeworth Box - [ ] Supply-Demand Graph - [ ] Production Possibility Frontier - [ ] Utility Curve > **Explanation:** The Edgeworth Box is the correct graphical tool used for this purpose. ### True or False: Feasible sets are only applicable to individual consumers. - [ ] True - [x] False > **Explanation:** Feasible sets apply to firms, consumers, and governments, highlighting their versatility. ### The term 'feasible set' is most closely associated with which academic discipline? - [x] Economics - [ ] Physics - [ ] Literature - [ ] Medicine > **Explanation:** Feasible sets are a key concept in economics, especially in the areas of resource allocation and optimization.