✦ LIBER ✦

A New Proof of Monjardet's Median Theorem

✍ Scribed by D.E. Loeb

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 354 KB
Volume: 73
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1996.0007

No coin nor oath required. For personal study only.

✦ Synopsis

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 / function which also generates all strong simple games.

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