TY - JOUR
T1 - On strategy-proofness and the salience of single-peakedness
AU - Chatterji, Shurojit
AU - Massó, Jordi
N1 - Chatteiji would like to acknowledge research support from SMU grant number C244/MSS13E001 and thank KIER, Kyoto University for its hospitality. Massó would like to acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through Grant EC02014-53051 and the Severo Ochoa Programme for Centers of Excellence in R&D (SEV-2015-0563), and from the Generalitat de Catalunya, through the research Grant SGR2014-515.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - We consider strategy-proof rules operating on a rich domain of preference profiles. We show that if the rule satisfies in addition tops-onlyness, anonymity, and unanimity, then the preferences in the domain have to satisfy a variant of single-peakedness (referred to as semilattice single-peakedness). We do so by deriving from the rule an endogenous partial order (a semilattice) from which the concept of a semilattice single-peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well-known restricted domains under which nontrivial strategy-proof rules are admissible are semilattice single-peakeddomains.
AB - We consider strategy-proof rules operating on a rich domain of preference profiles. We show that if the rule satisfies in addition tops-onlyness, anonymity, and unanimity, then the preferences in the domain have to satisfy a variant of single-peakedness (referred to as semilattice single-peakedness). We do so by deriving from the rule an endogenous partial order (a semilattice) from which the concept of a semilattice single-peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well-known restricted domains under which nontrivial strategy-proof rules are admissible are semilattice single-peakeddomains.
U2 - https://doi.org/10.1111/iere.12266
DO - https://doi.org/10.1111/iere.12266
M3 - Article
SN - 0020-6598
VL - 59
SP - 163
EP - 189
JO - International Economic Review
JF - International Economic Review
IS - 1
ER -