Hirsch, M., Magill, M. and Mas-Colell, A. (1990) A Geometric Approach to a Class of Equilibrium Existence Theorems. Journal of Mathematical Economics, 19, 95-106.

has been cited by the following article:

• TITLE: Existence of Financial Equilibria in a General Equilibrium Model with Piece-Wise Smooth Production Manifolds

  AUTHORS: Pascal Stiefenhofer

  KEYWORDS: Existence of Equilibria, Transversality, Linear Technology, General Equilibrium, Production, Regularization

  JOURNAL NAME: Journal of Mathematical Finance, Vol.7 No.3, July 27, 2017

  ABSTRACT: This paper considers a general equilibrium model with production and uncertainty. It is postulated that the firm finances its production capacity through the stock market and that its operational costs are covered through revenues. It is assumed that firms have linear technologies exhibiting constant returns to scale. Their production sets are piece-wise smooth convex manifolds. By method of regularization, it is shown using transversally theory that financial equilibria exists.