Publication Type
Working Paper
Version
submittedVersion
Publication Date
11-2023
Abstract
We introduce the notion of a multidimensional hybrid preference domain on a (finite) set of alternatives that is a Cartesian product of finitely many components. We demonstrate that in a model of public goods provision, multidimensional hybrid preferences arise naturally through assembling marginal preferences under the condition of semi-separability - a weakening of separability. The main result shows that under a suitable “richness” condition, every strategy-proof rule on this domain can be decomposed into component-wise strategy-proof rules, and more importantly every domain of preferences that reconciles decomposability of rules with strategy-proofness must be a multidimensional hybrid domain.
Keywords
Decomposability, strategy-proofness
Discipline
Economic Theory
Research Areas
Economic Theory
First Page
1
Last Page
42
Citation
CHATTERJI, Shurojit and ZENG, Huaxia.
Decomposability and strategy-proofness in multidimensional models. (2023). 1-42.
Available at: https://ink.library.smu.edu.sg/soe_research/2723
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.48550/arXiv.2303.10889