Skip to main content
Log in

Continuously Representable Paretian Quasi-Orders

  • Published:
Theory and Decision Aims and scope Submit manuscript

Abstract

Two forms of continuity are defined for Pareto representations of preferences. They are designated “continuity” and “coordinate continuity.” Characterizations are given of those Pareto representable preferences that are continuously representable and, in dimension two, of those that are coordinate-continuously representable.

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.

Similar content being viewed by others

References

  • Aizerman, M. and Aleskerov, F. (1995), Theory of Choice, North-Holland, Amsterdam.

  • G. Debreu (1964) ArticleTitleContinuity properties of paretian utility International Economic Review 5 285–293

    Google Scholar 

  • D. Donaldson J. Weymark (1998) ArticleTitleA quasiordering is the intersection of orderings Journal of Economic Theory 78 382–387 Occurrence Handle10.1006/jeth.1997.2360

    Article  Google Scholar 

  • J. Duggan (1999) ArticleTitleA general theorem for binary relations Journal of Economic Theory 86 1–16 Occurrence Handle10.1006/jeth.1998.2504

    Article  Google Scholar 

  • J. Dugundji (1967) Topology Allyn and Bacon Inc. Boston

    Google Scholar 

  • B. Dushnik W. Miller (1941) ArticleTitlePartially ordered sets American Journal of Mathematics 63 600–610

    Google Scholar 

  • Knoblauch, V. (2005), Continuous lexicographic preferences, Journal of Mathematical Economics, forthcoming.

  • V. Knoblauch (2001) ArticleTitleUsing elections to represent preferences Social Choice and Welfare 18 823–831 Occurrence Handle10.1007/s003550000088

    Article  Google Scholar 

  • Y. Sprumont (2001) ArticleTitleParetian quasi-orders: the regular two-agent case Journal of Economic Theory 101 437–456 Occurrence Handle10.1006/jeth.2000.2755

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vicki Knoblauch.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knoblauch, V. Continuously Representable Paretian Quasi-Orders. Theor Decis 60, 1–16 (2006). https://doi.org/10.1007/s11238-005-4751-1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11238-005-4751-1

Keywords

JEL Classification

Navigation