Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Edgeworth's Limit Theorem

Game Theory

Edgeworth's limit theorem, in economics, states that the core of an exchange economy, the set of allocations that no group of traders could improve upon by trading only among themselves, shrinks toward the set of competitive, or Walrasian, equilibrium allocations as the number of traders in the economy grows toward infinity. It is named for the economist Francis Ysidro Edgeworth.

Facts
Statement
the core of an economy shrinks to the set of Walrasian equilibria as the number of agents increases to infinity 1
Proof Year
1963 1
Proof Year
1964 1
Classification
Statement Form
Characterization Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Edgeworth's limit theorem - Wikipedia
  • Introduction
    the core of an economy shrinks to the set of Walrasian equilibria as the number of agents increases to infinity
  • Formal proofs were presented ... by Debreu and Scarf (1963)
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.