Topological aggregation of inequality preorders (Q1067955)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Topological aggregation of inequality preorders |
scientific article; zbMATH DE number 3930666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological aggregation of inequality preorders |
scientific article; zbMATH DE number 3930666 |
Statements
Topological aggregation of inequality preorders (English)
0 references
1985
0 references
An inequality preorder is defined as a complete preorder on a simplex which satisfies the properties of continuity and strict Schur-convexity (the mathematical equivalent of Dalton's ''principle of transfers''). The paper shows that it is possible to aggregate individual inequality preorders into a collective one if we are interested in a continuous anonymous aggregation rule that respect unanimity. The aggregation problem is studied within a topological framework introduced by \textit{G. Chichilnisky} [Adv. Math. 37, 165-176 (1980; Zbl 0446.90004)].
0 references
inequality preorder
0 references
continuity
0 references
strict Schur-convexity
0 references
continuous anonymous aggregation rule
0 references
unanimity
0 references
0 references
