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Preference for diversification with similarity considerations

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  • Guerdjikova, Ani

Abstract

The paper studies the connection between the form of the similarity function of a decision-maker and his willingness to diversify. It is shown that preference for diversification obtain for both high and low aspiration levels if the similarity function is convex in the Euclidean distance. However, a decision-maker with a concave similarity function and relatively high aspiration level will fail to choose diversified acts, even if his utility function is concave.

Suggested Citation

  • Guerdjikova, Ani, 2004. "Preference for diversification with similarity considerations," Papers 04-48, Sonderforschungsbreich 504.
    • Handle: RePEc:mnh:spaper:2694
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    File URL: https://madoc.bib.uni-mannheim.de/2694/1/dp04_48.pdf
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    References listed on IDEAS

    as
    1. Antoine Billot & Itzhak Gilboa & David Schmeidler, 2012. "Axiomatization of an Exponential Similarity Function," World Scientific Book Chapters, in: Case-Based Predictions An Axiomatic Approach to Prediction, Classification and Statistical Learning, chapter 10, pages 245-257, World Scientific Publishing Co. Pte. Ltd..
    2. Jean-Marc Tallon & Alain Chateauneuf, 2002. "Diversification, convex preferences and non-empty core in the Choquet expected utility model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 509-523.
    3. Jean-Marc Tallon & Alain Chateauneuf, 2002. "Diversification, convex preferences and non-empty core in the Choquet expected utility model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 509-523.
    4. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    5. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521003117.
    6. Itzhak Gilboa & David Schmeidler, 1996. "Act similarity in case-based decision theory (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 47-62.
    7. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521802345.
    8. David Buschena & David Zilberman, 1999. "Testing the Effects of Similarity on Risky Choice: Implications for Violations of Expected Utility," Theory and Decision, Springer, vol. 46(3), pages 253-280, June.
    9. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521802345.
    10. Buschena, David & Zilberman, David, 1995. "Performance of the Similarity Hypothesis Relative to Existing Models of Risky Choice," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 233-262, December.
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    More about this item

    Keywords

    Case-Based Decision Theory ; similarity ; preference for diversification;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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