Monotone comparative statics in ordered vector spaces

Martin Jensen

Research output: Contribution to journalArticle

2 Citations (Scopus)


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 C-1 or C-2 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.
Original languageEnglish
Pages (from-to)35
Number of pages1
JournalThe B E Journal of Theoretical Economics
Issue number1
Publication statusPublished - 1 Jan 2007


  • vector lattice
  • non-smooth analysis
  • ordered vector space
  • Henstock-Kurzweil integration
  • supermodularity
  • increasing differences
  • comparative statics


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