Skip to main content
Log in

Archimedean levels, semispaces, and majorization of convex cones

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. R. J. Aumann, Utility theory without the completeness axiom. Econometrica30, 445–462 (1962). (Correction in Econometrica32, 210–212 (1964)).

    Google Scholar 

  2. G.Birkhoff, Lattice Theory. American Mathematical Society, Providence, R.I. 1948.

  3. P. C.Fishburn, Utility Theory for Decision Making. New York 1970.

  4. P. C. Fishburn, A study of lexicographic expected utility. Management Sci.17, 672–678 (1971).

    Google Scholar 

  5. P. C. Hammer, Maximal convex sets. Duke Math. J.22, 103–106 (1955).

    Google Scholar 

  6. M.Hausner, Multidimensional utilities. In: Decision Processes, R. M. Thrall et al., eds., 167–180. New York 1954.

  7. M. Hausner andJ. G. Wendel, Ordered vector spaces. Proc. Amer. Math. Soc.3, 977–982 (1952).

    Google Scholar 

  8. Y. Kannai, Existence of a utility in infinite dimensional partially ordered spaces. Israel J. Math.1, 229–234 (1963).

    Google Scholar 

  9. V. Klee, Separation properties of convex cones. Proc. Amer. Math. Soc.6, 313–318 (1955).

    Google Scholar 

  10. V. Klee, Boundedness and continuity of linear functionals. Duke Math. J.22, 263–270 (1955).

    Google Scholar 

  11. V. Klee, The structure of semispaces. Math. Scand.4, 54–64 (1956).

    Google Scholar 

  12. V. Klee, Utility functions and the ‘lin’ operation for convex sets. Israel J. Math.2, 191–197 (1964).

    Google Scholar 

  13. C. E. Moore, Concrete semispaces and lexicographic separation of convex sets. Pacific J. Math.44, 659–670 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klee, V., Maluta, E. & Zanco, C. Archimedean levels, semispaces, and majorization of convex cones. Arch. Math 61, 250–256 (1993). https://doi.org/10.1007/BF01198721

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01198721

Keywords

Navigation