Uniqueness of competitive equilibrium with solvency constraints under gross-substitution

B-Tier
Journal: Journal of Mathematical Economics
Year: 2015
Volume: 61
Issue: C
Pages: 287-295

Authors (2)

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

Under a gross substitution assumption, we prove existence and uniqueness of competitive equilibrium for an infinite-horizon exchange economy with limited commitment and complete financial markets. Risk-sharing is limited as only a part of the private endowment can be used as collateral to secure debt. The unique equilibrium is Markovian with respect to a minimal state space consisting of exogenous shocks and Negishi’s welfare weights. We represent equilibrium dynamics via a monotone operator acting on entire wealth distribution functions. We construct a fixed point of this operator generating a lower and an upper orbit and proving coincidence of accumulation points.

Technical Details

RePEc Handle
repec:eee:mateco:v:61:y:2015:i:c:p:287-295
Journal Field
Theory
Author Count
2
Added to Database
2026-01-24