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Full-Text Articles in Social and Behavioral Sciences
On Random Social Choice Functions With The Tops-Only Property, Shurojit Chatterji, Huaxia Zeng
On Random Social Choice Functions With The Tops-Only Property, Shurojit Chatterji, Huaxia Zeng
Research Collection School Of Economics
We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on the peaks of voters' preferences. We identify a general condition on domains of preferences (the Interior Property and the Exterior Property) which ensures that every strategy-proof RSCF satisfying unanimity has the tops-only property. We show that our condition applies to important classes of voting domains which include restricted connected domains (Sato, 2013) and the multi-dimensional single-peaked domain (Barberà et al., 1993). As an application of our result, we show that …
On Random Social Choice Functions With The Tops-Only Property, Shurojit Chatterji, Huaxia Zeng
On Random Social Choice Functions With The Tops-Only Property, Shurojit Chatterji, Huaxia Zeng
Research Collection School Of Economics
We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on the peaks of voters' preferences. We identify a general condition on domains of preferences (the Interior Property and the Exterior Property) which ensures that every strategy-proof RSCF satisfying unanimity has the tops-only property. We show that our condition applies to important classes of voting domains which include restricted connected domains (Sato, 2013) and the multi-dimensional single-peaked domain (Barberà et al., 1993). As an application of our result, we show that …