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Uniqueness of Arrow-Debreu and Arrow-Radner equilibrium when utilities are additively separable

Dana, Rose-Anne (2001), Uniqueness of Arrow-Debreu and Arrow-Radner equilibrium when utilities are additively separable, Review of Economic Design, 6, 2, p. 155-173. http://dx.doi.org/10.1007/PL00013700

Type
Article accepté pour publication ou publié
Date
2001
Journal name
Review of Economic Design
Volume
6
Number
2
Publisher
Springer
Pages
155-173
Publication identifier
Metadata
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Author(s)
Dana, Rose-Anne
Abstract (EN)
This survey paper has three purposes: We first present in finite dimension, different approaches to the problem of uniqueness of Arrow-Debreu equilibrium when agents have additively separable utilities. We then study how, in the specific framework of a two period contingent good economy the results obtained generalize to infinite dimension. We consider economies where agents' consumption space is and agents' utilities are additively separable. Lastly, we show that in some restricted settings, some results may be used to prove uniqueness of Arrow-Radner equilibria when there are incomplete financial markets.
Subjects / Keywords
incomplete financial markets; Arrow-Radner equilibria; Arrow-Debreu equilibrium
JEL
D52 - Incomplete Markets