Preferences Which Have Open Graphs

Ted Bergstrom, University of California, Santa Barbara
Robert Parks, Washington University, St. Louis
Trout Rader, Washington University, St. Louis

Abstract

Gale and Mas-Collel and Shafer and Sonnenschein introduced powerful new theorems on the existence of competitive equilibrium which used the assumption that the graph of the strict preference relation P is an open set. We show when this condition is satisfied and when it is not.