Seminar at IGIDR by Dr. Gopakumar Achuthankutty, Centre for Development Economics, Delhi School of Economics, New Delhi.
Date & Hour: 24 June 2019, 4:00 pm
Venue: Seminar Hall 1
Title: Strategy-Proof Rules on Partially Single-Peaked Domains
Abstract: We consider domains that exhibit single-peakedness only over a subset of alternatives. We call such domains partially single-peaked and provide a characterization of the unanimous and strategy-proof social choice functions on these domains. As an application of this result, we obtain a characterization of the unanimous and strategy-proof social choice functions on multi-peaked domains (Stiglitz (1974), Epple and Romano (1996a)), multiple single-peaked domains (Reffgen (2015)) and single-peaked domains on graphs (Demange (1982), Schummer and Vohra (2002)). As a by-product of our results, it follows that strategy-proofness implies tops-onlyness on these domains. Further, we show that strategy-proofness and group strategyproofness are equivalent on these domains.