On uniqueness of time-consistent Markov policies for quasi-hyperbolic consumers under uncertainty

Łukasz Balbus, Kevin Reffett, Łukasz Woźny

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We give a set of sufficient conditions for uniqueness of a time-consistent stationary Markov consumption policy for a quasi-hyperbolic household under uncertainty. To the best of our knowledge, this uniqueness result is the first presented in the literature for general settings, i.e. under standard assumptions on preferences, as well as some new condition on a transition probability. This paper advocates a “generalized Bellman equation” method to overcome some predicaments of the known methods and also extends our recent existence result. Our method also works for returns unbounded from above. We provide a few natural extensions of optimal policy uniqueness: convergent and accurate computational algorithm, monotone comparative statics result and generalized Euler equation.

Original languageEnglish (US)
Pages (from-to)293-310
Number of pages18
JournalJournal of Economic Theory
Volume176
DOIs
StatePublished - Jul 2018

Keywords

  • Generalized Bellman equation
  • Markov equilibrium
  • Time consistency
  • Uniqueness

ASJC Scopus subject areas

  • Economics and Econometrics

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