Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Necessary and Sufficient Conditions for Existence and Uniqueness of
  Recursive Utilities   We study existence, uniqueness and computability of solutions for a class of
discrete time recursive utilities models. By combining two streams of the
recent literature on recursive preferences---one that analyzes principal
eigenvalues of valuation operators and another that exploits the theory of
monotone concave operators---we obtain conditions that are both necessary and
sufficient for existence and uniqueness of solutions. We also show that the
natural iterative algorithm is convergent if and only if a solution exists.
Consumption processes are allowed to be nonstationary.

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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc