Multiple solutions under quasi-exponential discounting
2009 (English)In: Economic Theory, ISSN 0938-2259, E-ISSN 1432-0479, Vol. 39, no 3, 513-526 p.Article in journal (Refereed) Published
Infinite horizon dynamic optimization problems with non-exponential time preferences may not only exhibit time inconsistency but may also have multiple solutions with distinct payoffs. We here show that such multiplicity is generic in the sense that it occurs in an open set of such decision problems, even with small state- and action-spaces. Non-exponential discounting allows for an "addictive" equilibrium alongside a "virtuous" equilibrium. We also provide a sufficient condition for uniqueness in infinitely repeated decision problems with general action spaces.
Place, publisher, year, edition, pages
2009. Vol. 39, no 3, 513-526 p.
Time-consistency, Hyperbolic discounting, Stochastic dynamic programming, Multiplicity, Uniqueness
Economics and Business
IdentifiersURN: urn:nbn:se:kth:diva-86673DOI: 10.1007/s00199-008-0368-2ISI: 000264320500012OAI: oai:DiVA.org:kth-86673DiVA: diva2:500912
QC 201202142012-02-132012-02-132012-02-14Bibliographically approved