English

Optimal Consumption for Recursive Preferences with Local Substitution -- the Case of Certainty

Optimization and Control 2022-11-16 v1

Abstract

We characterize optimal consumption policies in a recursive intertemporal utility framework with local substitution. We establish existence and uniqueness and a version of the Kuhn-Tucker theorem characterizing the optimal consumption plan. An explicit solution is provided for the case when the felicity function is of the Epstein-Zin's type.

Keywords

Cite

@article{arxiv.2211.07801,
  title  = {Optimal Consumption for Recursive Preferences with Local Substitution -- the Case of Certainty},
  author = {Hanwu Li and Frank Riedel and Shuzhen Yang},
  journal= {arXiv preprint arXiv:2211.07801},
  year   = {2022}
}