A new proof of Monjardet's median theorem

Details A new proof of Monjardet's median theorem A new proof of Monjardet's median theorem

1995-02-09

arxiv.org/abs/math/9502223v1

Mathematics

Combinatorics

Scientific paper

New proofs are given for Monjardet's theorem that all strong simple games
(i.e., ipsodual elements of the free distributive lattice) can be generated by
the median operation. Tighter limits are placed on the number of iterations
necessary. Comparison is drawn with the $\chi$ function which also generates
all strong simple games.

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