Template-type: ReDif-Paper 1.0 Author-Name: Peters, Hans Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE ETBC, RS: GSBE Theme Conflict & Cooperation, RS: GSBE Theme Data-Driven Decision-Making Author-Name: Roy, Souvik Author-Name: Sadhukhan, Soumyarup Title: Random social choice functions for single-peaked domains on trees Abstract: 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. Classification-JEL: d71 Series: GSBE Research Memoranda Creation-Date: 20180208 Number: 004 File-URL: https://cris.maastrichtuniversity.nl/ws/files/24152197/RM18004.pdf File-Format: application/pdf File-Size: 443721 Handle: Repec:unm:umagsb:2018004 DOI: 10.26481/umagsb.2018004