Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of Arrow-Debreu equilibria with consumptions in
  $\mathbf{L}^0_+$   We consider an economy where agents' consumption sets are given by the cone
$\mathbf{L}^0_+$ of non-negative measurable functions and whose preferences are
defined by additive utilities satisfying the Inada conditions. We extend to
this setting the results in \citet{Dana:93} on the existence and uniqueness of
Arrow-Debreu equilibria. In the case of existence, our conditions are necessary
and sufficient.

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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat