Equivalence Between Time Consistency and Nested Formula - École des Ponts ParisTech Access content directly
Preprints, Working Papers, ... Year : 2017

Equivalence Between Time Consistency and Nested Formula


You are a financial analyst. At the beginning of every week, you are able to rank every pair of stochastic processes starting from that week up to the horizon. Suppose that two processes are equal at the beginning of the week. Your ranking procedure is time consistent if the ranking does not change between this week and the next one. In this paper, we propose a minimalist definition of Time Consistency (TC) between two (assessment) mappings. With very few assumptions, we are able to prove an equivalence between Time Consistency and a Nested Formula (NF) between the two mappings. Thus, in a sense, two assessments are consistent if and only if one is factored into the other. We review the literature and observe that the various definitions of TC (or of NF) are special cases of ours, as they always include additional assumptions. By stripping off these additional assumptions, we present an overview of the literature where the contribution of each author is enlightened.
Fichier principal
Vignette du fichier
TC_NF.pdf (339.41 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01645564 , version 1 (23-11-2017)
hal-01645564 , version 2 (17-05-2019)



Henri Gérard, Michel de Lara, Jean-Philippe Chancelier. Equivalence Between Time Consistency and Nested Formula. 2017. ⟨hal-01645564v1⟩
485 View
232 Download



Gmail Mastodon Facebook X LinkedIn More