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Pré-Publication, Document De Travail Année : 2015

Arrow Type Impossibility Theorems over Median Algebras

Résumé

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.
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Dates et versions

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

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Domaine public

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  • HAL Id : hal-01185977 , version 1

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