A BEJTE Topics article.

Abstract

This paper considers ordered vector spaces with arbitrary closed cones and establishes a number of characterization results with applications to monotone comparative statics (Topkis (1978), Topkis (1998), Milgrom and Shannon (1994)). By appealing to the fundamental theorem of calculus for the Henstock-Kurzweil integral, we generalize existing results on increasing differences and supermodularity for C¹ or C² functions. None of the results are based on the assumption that the order is Euclidean. As applications we consider a teamwork game and a monopoly union model.

Submitted: March 12, 2004 · Accepted: September 20, 2007 · Published: October 4, 2007

Recommended Citation

Jensen, Martin K. (2007) "Monotone Comparative Statics in Ordered Vector Spaces," The B.E. Journal of Theoretical Economics: Vol. 7 : Iss. 1 (Topics), Article 35.
Available at: http://www.bepress.com/bejte/vol7/iss1/art35