Munich Personal RePEc Archive

Minimality and uniqueness of equilibrium

Loi, Andrea and Matta, Stefano (2019): Minimality and uniqueness of equilibrium.

WarningThere is a more recent version of this item available.

Download (293kB) | Preview


In this paper we propose the following conjecture: the equilibrium manifold E(r) ⊂ RLM−1, where L is the number of goods and M the number of consumers, is a minimal submanifold if and only if the price is unique for every economy. We show the validity of this conjecture for an arbitrary number of goods and two consumers and for an arbitrary number of consumers and two goods under the assumption that the normal vector field of E(r) is constant outside a compact subset.

Available Versions of this Item

Logo of the University Library LMU Munich
MPRA is a RePEc service hosted by
the University Library LMU Munich in Germany.