Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/197204 
Year of Publication: 
2017
Citation: 
[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 12 [Issue:] 2 [Publisher:] The Econometric Society [Place:] New Haven, CT [Year:] 2017 [Pages:] 771-815
Publisher: 
The Econometric Society, New Haven, CT
Abstract: 
This paper offers a resolution to an extensively studied question in theoretical economics: which measure spaces are suitable for modeling many economic agents? We propose the condition of 'nowhere equivalence' to characterize those measure spaces that can be effectively used to model the space of many agents. In particular, this condition is shown to be more general than various approaches that have been proposed to handle the shortcoming of the Lebesgue unit interval as an agent space. We illustrate the minimality of the nowhere equivalence condition by showing its necessity in deriving the determinateness property, the existence of equilibria, and the closed graph property for equilibrium correspondences in general equilibrium theory and game theory.
Subjects: 
Agent space
nowhere equivalence
Nash equilibrium
Walrasian equilibrium
determinateness property
closed graph property
relative saturation
atomless independent supplement
conditional atomlessness
JEL: 
C7
D0
D5
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article

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