Article citationsMore>>

J. Geanakoplos and W. Shafer, “Solving Systems of Simultaneous Equations in Economics,” Journal of Mathematical Economics, Vol. 19, No. 1-2, 1990, pp. 69-93.
http://dx.doi.org/10.1016/0304-4068(90)90036-9

has been cited by the following article:

• TITLE: The Fundamental Theorem of Asset Pricing with either Frictionless or Frictional Security Markets

  AUTHORS: Helen H. Huang, Shunming Zhang

  KEYWORDS: The First Fundamental Valuation Theorems; Transaction Costs; Weak Arbitrage-Freeness; Strict Arbitrage-Freeness; Arbitrage-Free Pricing Theory; Locally Convex Topological Space; Separable Banach Space

  JOURNAL NAME: Journal of Mathematical Finance, Vol.4 No.2, February 27, 2014

  ABSTRACT: This paper studies asset pricing in arbitrage-free financial markets in general state space (both for frictionless market and for market with transaction cost). The mathematical formulation is based on a locally convex topological space for weakly arbitrage-free securities’ structure and a separable Banach space for strictly arbitrage-free securities’ structure. We establish, for these two types of spaces, the weakly arbitrage-free pricing theorem and the strictly arbitrage-free pricing theorem, respectively.