论文信息 - Aggregation of preferences from algebraic models on groups

Aggregation of preferences from algebraic models on groups

In this paper we introduce the algebraic Chichilnisky social choice model which deals with anonymous and unanimous homomorphisms defined on groups. The main properties of this algebraic model furnish a good tool to obtain an alternative proof for the Chichilnisky-Heal resolution of the topological social choice paradox.

Juan Carlos Candeal | Esteban Induráin | E. Induráin | J. Candeal

[1] R. Ho. Algebraic Topology , 2022 .

[2] James Keesling,et al. The group of homeomorphisms of a solenoid , 1972 .

[3] Graciela Chichilnisky. Social Aggregation Rules and Continuity , 1982 .

[4] Juan Carlos Candeal,et al. Some issues related to the topological aggregation of preferences , 1992 .

[5] P. Fishburn,et al. Algebraic aggregation theory , 1986 .

[6] Graciela Chichilnisky,et al. On Fixed Point Theorems and Social Choice Paradoxes , 1979 .

[7] Irving Kaplansky,et al. Infinite Abelian groups , 1954 .

[8] Nick Baigent. Preference Proximity and Anonymous Social Choice , 1987 .

[9] Graciela Chichilnisky,et al. Von Neuman - Morgenstern Utilities and Cardinal Preferences , 1985, Math. Oper. Res..

[10] M. Breton,et al. Topological aggregation of inequality preorders , 1985 .

[11] Graciela Chichilnisky,et al. Social choice and the closed convergence topology , 1991 .

[12] Graciela Chichilnisky,et al. Necessary and Sufficient Conditions for a Resolution of the Social Choice Paradox , 1981 .

[13] Graciela Chichilnisky. Social choice and the topology of spaces of preferences , 1980 .

[14] Gleb A. Koshevoy,et al. A topological approach to social choice with infinite populations , 1994 .