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Random social choice functions for single-peaked domains on trees

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Working paper
Author/s: 
Hans Peters, Souvik Roy, Soumyarup Sadhukhan
Issue number: 
RM/18/004
Series: 
GSBE Research Memoranda Publisher GSBE No. 004
Publisher: 
GSBE
Year: 
2018
Finitely many agents have single-peaked preferences on a finite set of alternatives structured as a tree. Under a richness condition on the domain we characterize all unanimous and strategy-proof random social choice functions. These functions are uniquely determined by the values they assign to preference profiles where all peaks are on leafs of the tree.
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