• Media type: E-Book
  • Title: Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities
  • Contributor: Borovička, Jaroslav [Author]; Stachurski, John [Other]
  • Published: [S.l.]: SSRN, [2018]
  • Published in: NBER Working Paper ; No. w24162
  • Extent: 1 Online-Ressource (31 p)
  • Language: English
  • Origination:
  • Footnote: Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments December 2017 erstellt
  • Description: We study existence, uniqueness and stability 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. We also show that the natural iterative algorithm is convergent if and only if a solution exists. Consumption processes are allowed to be nonstationary
  • Access State: Open Access