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- Edgeworth_conjecture abstract "In economics, the Edgeworth conjecture is the idea, named after Francis Ysidro Edgeworth, that the core of an economy shrinks to the set of Walrasian equilibria as the number of agents increases to infinity.The core of an economy is a concept from cooperative game theory defined asthe set of feasible allocations in an economy that cannot be improved upon by subset of the set of the economy's consumers (a coalition). For general equilibrium economies typically the Core is non-empty (there is at least one feasible allocation) but also "large" in the sense that there may be a continuum of feasible allocations that satisfy the requirements. The conjecture basically states that if the number of agents is also "large" then the only allocations in the Core are precisely what a competitive market would produce. As such, the conjecture is seen as providing some game-theoretic foundations for the usual assumption in general equilibrium theory of price taking agents. In particular, it means that in a "large" economy people act as if they were price takers, even though theoretically they have all the power to set prices and renegotiate their trades. Hence, the fictitious Walrasian auctioneer of general equilibrium, while strictly speaking completely unrealistic, can be seen as a "short-cut" to getting the right answer.Edgeworth himself did not quite prove this result — hence the term "conjecture" rather than "theorem" — although he did provide most of the necessary intuition and went some way towards it. In the 1960s formal proofs were presented under different assumptions by Debreu and Scarf (1963) and Robert Aumann (1964). Both of these results however showed that the conditions sufficient for this result to hold were a bit more stringent than Edgeworth anticipated. Debreu and Scarf considered the case of a "replica economy" where there is a finite number of agent types and the agents added to the economy to make it "large" are of the same type and in the same proportion as those already in it. Robert Aumann's result relied on an existence of a continuum of agents.These proofs of the Edgeworth conjecture are seen as providing some qualified support for the idea that a large economy functions approximately as a price taking competitive economy of General equilibrium theory, even though agents have the power to set prices.".
- Edgeworth_conjecture wikiPageID "3717895".
- Edgeworth_conjecture wikiPageRevisionID "599847810".
- Edgeworth_conjecture hasPhotoCollection Edgeworth_conjecture.
- Edgeworth_conjecture subject Category:Conjectures.
- Edgeworth_conjecture subject Category:Game_theory.
- Edgeworth_conjecture subject Category:General_equilibrium_and_disequilibrium.
- Edgeworth_conjecture type Abstraction100002137.
- Edgeworth_conjecture type Cognition100023271.
- Edgeworth_conjecture type Concept105835747.
- Edgeworth_conjecture type Conjectures.
- Edgeworth_conjecture type Content105809192.
- Edgeworth_conjecture type Hypothesis105888929.
- Edgeworth_conjecture type Idea105833840.
- Edgeworth_conjecture type PsychologicalFeature100023100.
- Edgeworth_conjecture type Speculation105891783.
- Edgeworth_conjecture comment "In economics, the Edgeworth conjecture is the idea, named after Francis Ysidro Edgeworth, that the core of an economy shrinks to the set of Walrasian equilibria as the number of agents increases to infinity.The core of an economy is a concept from cooperative game theory defined asthe set of feasible allocations in an economy that cannot be improved upon by subset of the set of the economy's consumers (a coalition).".
- Edgeworth_conjecture label "Edgeworth conjecture".
- Edgeworth_conjecture sameAs m.09wzv8.
- Edgeworth_conjecture sameAs Q5337940.
- Edgeworth_conjecture sameAs Q5337940.
- Edgeworth_conjecture sameAs Edgeworth_conjecture.
- Edgeworth_conjecture wasDerivedFrom Edgeworth_conjecture?oldid=599847810.
- Edgeworth_conjecture isPrimaryTopicOf Edgeworth_conjecture.