Asset Details
Do you wish to reserve the book?
Edgeworth's conjecture and the number of agents and commodities
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Edgeworth's conjecture and the number of agents and commodities
Do you wish to request the book?
Edgeworth's conjecture and the number of agents and commodities
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Edgeworth's conjecture and the number of agents and commodities
2016
Overview
We answer the question asked by Robert Aumann as to whether core equivalence depends on there being \"many more agents than commodities.\" We show that for a large class of commodity spaces, which might be infinite-dimensional and even non-separable, core equivalence is indeed equivalent to the presence of \"many more agents than commodities\" when allocations are Bochner integrable. By contrast, we show that in a classical model of an atomless economy with an infinite-dimensional commodity space, the model where the commodity space is L∞(μ) with the Mackey topology and allocations are Gelfand integrable, core equivalence holds in full generality, even when there are \"many more commodities than agents.\" The assumptions we make on economies are much weaker than what is commonly used in core equivalence results for infinite-dimensional commodity spaces and reduce to Aumann's original assumptions when there are finitely many commodities.
