Efficient allocations and equilibria with short-selling and incomplete preferences
Le Van, Cuong; Dana, Rose-Anne (2014), Efficient allocations and equilibria with short-selling and incomplete preferences, Journal of Mathematical Economics, 53, p. 101-105. http://dx.doi.org/10.1016/j.jmateco.2014.06.003
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Economics
MetadataShow full item record
Author(s)Le Van, Cuong
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)This paper reconsiders the theory of existence of efficient allocations and equilibria when consumption sets are unbounded below under the assumption that agents have incomplete preferences. Our model is motivated by an example in the theory of assets with short-selling where there is risk and ambiguity. Agents have Bewley’s incomplete preferences. As an inertia principle is assumed in markets, equilibria are individually rational. It is shown that a necessary and sufficient condition for the existence of an individually rational efficient allocation or of an equilibrium is that the relative interiors of the risk adjusted sets of probabilities intersect. The more risk averse, the more ambiguity averse the agents, the more likely is an equilibrium to exist. The paper then turns to incomplete preferences represented by a family of concave utility functions. Several definitions of efficiency and of equilibrium with inertia are considered. Sufficient conditions and necessary and sufficient conditions are given for the existence of efficient allocations and equilibria with inertia.
Subjects / KeywordsIncomplete preferences; Equilibrium with short-selling; No arbitrage; Risk adjusted prior; Risk; Uncertainty
Showing items related by title and author.
Overlapping Risk Adjusted Sets of Priors and the Existence of Efficient Allocations and Equilibria with Short-Selling Le Van, Cuong; Dana, Rose-Anne (2010) Article accepté pour publication ou publié
No-arbitrage, overlapping sets of priors and the existence of efficient allocations and equilibria in the presence of risk and ambiguity Dana, Rose-Anne; Le Van, Cuong (2008) Document de travail / Working paper