Acyclic Domains of Linear Orders: A Survey

Bernard Monjardet

A chapter in The Mathematics of Preference, Choice and Order, 2009, pp 139-160 from Springer

Abstract: A = {1,2…i, j,k…n} is a finite set of n elements that I will generally call alternatives (but which could also be called issues, decisions, outcomes, candidates, objects, etc.). The elements of A will be also denoted by letters like x,y, z etc. A subset of cardinality p of A will be called a p-set. A 2 (respectively, A 3) denotes the set of all ordered pairs (x,y) (respectively, ordered triples (x,y, z) written for convenience as xyz) of A. When the elements of A are denoted by the n first integers, P 2(n) denotes the set of the n(n- 1)/2 ordered pairs (i

Keywords: Distributive Lattice; Linear Order; Social Choice; Coxeter Group; Maximal Chain (search for similar items in EconPapers)
Date: 2009
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Related works:
Working Paper: Acyclic domains of linear orders: a survey (2009)
Working Paper: Acyclic domains of linear orders: a survey (2009)
Working Paper: Acyclic domains of linear orders: a survey (2007)
Working Paper: Acyclic domains of linear orders: a survey (2007)
Working Paper: Acyclic domains of linear orders: a survey (2006)
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DOI: 10.1007/978-3-540-79128-7_8

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