COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

Lux et veritas

COWLES FOUNDATION DISCUSSION PAPER NO. 936

"A Colored Version of Tverberg’s Theorem"

Imre Barany and D.G. Larman

February 1990

The main result of this paper is that given n red, n white, and n green points in the plane, it is possible to form n vertex-disjoint triangles Delta1,...,Deltan in such a way that the Deltai has one one red, one white, and one green vertex for every i = 1,...,n and the intersection of these triangles is nonempty.

JEL Classification: 213