Existence of equilibrium on asset markets with a countably infinite number of states

B-Tier
Journal: Journal of Mathematical Economics
Year: 2017
Volume: 73
Issue: C
Pages: 44-53

Authors (2)

Ha-Huy, Thai (Université Paris-Saclay) Le Van, Cuong (not in RePEc)

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

We consider a model with a countably infinite number of states of nature. The agents have equivalent probability beliefs and von Neumann–Morgenstern utilities. The No-Arbitrage Prices in this paper are, up to a scalar, the marginal utilities. We introduce the Beliefs Strong Equivalence and the No Half Line Condition of the same type conditions. Under these conditions, the No Arbitrage price condition is sufficient for the existence of an equilibrium when the commodity space is lp,1≤p<+∞. This No Arbitrage condition is necessary and sufficient for the existence of equilibrium when the total endowment is in l∞. Moreover, it is equivalent to the compactness of the individually rational utility set.

Technical Details

RePEc Handle
repec:eee:mateco:v:73:y:2017:i:c:p:44-53
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25