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On dominance relations and the structure of animal societies: III The condition for a score structure

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Abstract

The necessary and sufficient condition is given forn integers to be the score structure of a society with a dominance relation.

A proof is also given for a theorem showing that there are members who dominate every other member either directly or indirectly through a single intermediate member.

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Literature

  • Landau, H. G. 1951. “On Dominance Relations and the Structure of Animal Societies: I. Effect of Inherent Characteristics.”Bull. Math. Biophysics,13, 1–19.

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  • Vaughan, H. E. 1952. “On Well-ordered Subsets and Maximal Elements of Ordered Sets.”Pacific Jour. Math.,2, 407–12.

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Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, Chicago, USA

    H. G. Landau

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  1. H. G. Landau
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Landau, H.G. On dominance relations and the structure of animal societies: III The condition for a score structure. Bulletin of Mathematical Biophysics 15, 143–148 (1953). https://doi.org/10.1007/BF02476378

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  • DOI: https://doi.org/10.1007/BF02476378

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