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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

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)
  • In Group: Economic Theory, Lead paragraph
    Edgeworth's limit theorem is an economic theorem, named after Francis Ysidro Edgeworth, stating that the core of an economy shrinks to the set of Walrasian equilibria as the number of agents increases to infinity.
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