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On continuity of incomplete preferences

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  • Georgios Gerasimou

Abstract

A weak (strict) preference relation is continuous if it has a closed (open) graph; it is hemicontinuous if its upper and lower contour sets are closed (open). If preferences are complete these four conditions are equivalent. Without completeness continuity in each case is stronger than hemicontinuity. This paper provides general characterizations of continuity in terms of hemicontinuity for weak preferences that are modeled as (possibly incomplete) preorders and for strict preferences that are modeled as strict partial orders. Some behavioral implications associated with the two approaches are also discussed. Copyright Springer-Verlag 2013

Suggested Citation

  • Georgios Gerasimou, 2013. "On continuity of incomplete preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 157-167, June.
    • Handle: RePEc:spr:sochwe:v:41:y:2013:i:1:p:157-167
    DOI: 10.1007/s00355-012-0673-3
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    References listed on IDEAS

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    Cited by:

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    6. Ranjit Vohra, 2014. "Preferences with Open Graphs: A New Result," Economics Bulletin, AccessEcon, vol. 34(4), pages 2267-2274.
    7. David M. Harrison & Kimberly F. Luchtenberg & Michael J. Seiler, 2023. "Improving Mortgage Default Collection Efforts by Employing the Decoy Effect," The Journal of Real Estate Finance and Economics, Springer, vol. 66(4), pages 840-860, May.
    8. Uyanık, Metin & Khan, M. Ali, 2019. "On the consistency and the decisiveness of the double-minded decision-maker," Economics Letters, Elsevier, vol. 185(C).
    9. Uyanik, Metin & Khan, M. Ali, 2022. "The continuity postulate in economic theory: A deconstruction and an integration," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    10. Gerasimou, Georgios, 2015. "(Hemi)continuity of additive preference preorders," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 79-81.

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