Tail Optimality and Preferences Consistency for Intertemporal Optimization Problems

نویسندگان

چکیده

Given an intertemporal optimization problem over a time interval $[t_0,T]$ and control plan associated to it, we introduce the four notions of local global tail optimality preferences consistency agent. While notion is not new, main innovation this paper definition agent, which novel concept. We prove that, in case linear time-consistent where dynamic programming can be applied, optimal globally tail-optimal agent preferences-consistent. Oppositely, nonlinear that gives rise inconsistency, find do coexist. analyze three common ways attack time-inconsistent problem: (i) precommitment approach, (ii) dynamically (iii) consistent planning approach. none approaches keeps simultaneously desirable properties consistency: existing inconsistency are flawed various ways. also if performance criterion includes convex function expected final wealth exists, then coincide linear. The contribution disentangle into two consistency. analysis should shed light on price paid terms with each currently available for inconsistency.

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ژورنال

عنوان ژورنال: Siam Journal on Financial Mathematics

سال: 2022

ISSN: ['1945-497X']

DOI: https://doi.org/10.1137/21m1435422