On the long-run fluctuations of inheritance in two-sector OLG models

B-Tier
Journal: Journal of Mathematical Economics
Year: 2022
Volume: 101
Issue: C

Authors (2)

Pelgrin, Florian (not in RePEc) Venditti, Alain (Aix-Marseille Université)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper provides a long-run cycle perspective to explain the behavior of the annual flow of inheritance. Based on the low- and medium frequency properties of long time bequests series in Sweden, France, UK, and Germany, we explore the extent to which a two-sector Barro-type OLG model is consistent with such empirical regularities. As long as agents are sufficiently impatient and preferences are non-separable, we show that endogenous fluctuations are likely to occur through two mechanisms, which can generate independently or together either period-2 cycles or Hopf bifurcations. The first mechanism relies on the elasticity of intertemporal substitution or equivalently the sign of the cross-derivative of the utility function whereas the second rests on sectoral technologies through the sign of the capital intensity difference across two sectors. Furthermore, building on the quasi-palindromic nature of the degree-4 characteristic equation, we derive some meaningful sufficient conditions associated to the occurrence of complex roots and a Hopf bifurcation in a two-sector OLG model.

Technical Details

RePEc Handle
repec:eee:mateco:v:101:y:2022:i:c:s030440682200026x
Journal Field
Theory
Author Count
2
Added to Database
2026-01-29