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Preferences with Open Graphs: A New Result

Author

Listed:
  • Ranjit Vohra

    (Massachusetts Board of Higher Education)

Abstract

We provide a new characterization of binary relations that have an open graph. This result is applicable to any binary relation on any topological space. The relationship of this new theorem to several known results for binary relations used for preference representation, namely strict partial orders (SPOs), weak orders (WOs), and preorders is described.

Suggested Citation

  • Ranjit Vohra, 2014. "Preferences with Open Graphs: A New Result," Economics Bulletin, AccessEcon, vol. 34(4), pages 2267-2274.
    • Handle: RePEc:ebl:ecbull:eb-14-00746
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I4-P206.pdf
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    References listed on IDEAS

    as
    1. Bergstrom, Theodore C. & Parks, Robert P. & Rader, Trout, 1976. "Preferences which have open graphs," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 265-268, December.
    2. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Binary relations; Open graph; Partial order; Strict partial order; Continuous binary relations; Preferences;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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