Adv. Math. Econ. Volume 2, pp.119135 (2000)
Fixed point theorems and the existence of economic equilibria based on conditions for local directions of mappings
Akira Yamazaki
Graduate School of Economics, Hitotsubashi University, Kunitachi, Tokyo, 1868601, Japan


A mathematical model of a directed graph with stochastic transfers is
presented. It will be used to analyze the optimality (or "competitiveness" ) properties of
a network of transactions involving risky transfers of assets in an economic
system. These properties are discussed in a model with some specific directed graph
structures which result in a decompositon of the graph into parts with "narrow"
linkage.


stochastic transfer, network economy, directed graph, efficinecy, competitiveness