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Strong maximals: Elements with maximal score in partial orders

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  • Begoña Subiza
  • Josep Peris

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Abstract

It is usually assumed that maximal elements are the best option for an agent. But there are situations in which we can observe that maximal elements are “different” one from another. This is the case of partial orders, in which one maximal element can be strictly preferred to almost every other element, whereas another maximal is not strictly preferred to any element. As partial orders are an important tool for modelling human behavior, it is interesting to find, for this kind of binary relation, those maximal elements that could be considered the best ones. In so doing, we define a selection inside the maximal set, which we call strong maximals (elements with maximal score), which is proved to be appropriate for choosing among maximals in a partial order. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Begoña Subiza & Josep Peris, 2005. "Strong maximals: Elements with maximal score in partial orders," Spanish Economic Review, Springer;Spanish Economic Association, vol. 7(2), pages 157-166, June.
  • Handle: RePEc:spr:specre:v:7:y:2005:i:2:p:157-166
    DOI: 10.1007/s10108-004-0092-4
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    Cited by:

    1. Peris, Josep E. & Subiza, Begoña, 2012. "M-stability: A reformulation of Von Neumann-Morgenstern stability," QM&ET Working Papers 12-4, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. García-Bermejo, Juan Carlos, 2012. "A Note on Selecting Maximals in Finite Spaces," Working Papers in Economic Theory 2012/06, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    3. Joseph, Rémy-Robert, 2010. "Making choices with a binary relation: Relative choice axioms and transitive closures," European Journal of Operational Research, Elsevier, vol. 207(2), pages 865-877, December.

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    Keywords

    Partial order; maximal element; score;

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