Arrow Type Impossibility Theorems over Median Algebras - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2015

Arrow Type Impossibility Theorems over Median Algebras

Abstract

We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we describe median homomorphisms between products of median algebras and show that Arrow type impossibility theorems for mappings from a product A 1 x...x An of median algebras to a median algebra B are possible if and only if B is a tree, when thought of as an ordered structure.
Fichier principal
Vignette du fichier
1508.04741v1.pdf (187.59 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01185977 , version 1 (22-08-2015)

Licence

Public Domain

Identifiers

  • HAL Id : hal-01185977 , version 1

Cite

Miguel Couceiro, Stephan Foldes, Gerasimos Meletiou. Arrow Type Impossibility Theorems over Median Algebras. 2015. ⟨hal-01185977⟩
191 View
116 Download

Share

Gmail Mastodon Facebook X LinkedIn More