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Complementary choice functions

Combinatorics 2022-09-15 v1 Theoretical Economics

Abstract

The paper studies complementary choice functions, i.e. monotonic and consistent choice functions. Such choice functions were introduced and used in the work \cite{RY} for investigation of matchings with complementary contracts. Three (universal) ways of constructing such functions are given: through pre-topologies, as direct images of completely complementary (or pre-ordered) choice functions, and with the help of supermodular set-functions.

Keywords

Cite

@article{arxiv.2209.06514,
  title  = {Complementary choice functions},
  author = {Vladimir Danilov},
  journal= {arXiv preprint arXiv:2209.06514},
  year   = {2022}
}

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12 pages