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Full-Text Articles in Social and Behavioral Sciences
Decomposability And Strategy-Proofness In Multidimensional Models, Shurojit Chatterji, Huaxia Zeng
Decomposability And Strategy-Proofness In Multidimensional Models, Shurojit Chatterji, Huaxia Zeng
Research Collection School Of Economics
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.
Local Dominance, Emiliano Catonini, Jingyi Xue
Local Dominance, Emiliano Catonini, Jingyi Xue
Research Collection School Of Economics
We define notions of dominance between two actions in a dynamic game. Local dominance considers players who have a blurred view of the future and compare the two actions by first focusing on the outcomes that may realize at the current stage. When considering the possibility that the game may continue, they can only check that the local comparison is not overturned under the assumption of "continuing in the same way" after the two actions (in a newly defined sense). Despite the lack of forward planning, local dominance solves dynamic mechanisms that were found easy to play and implements social …
A Taxonomy Of Non-Dictatorial Unidimensional Domains, Shurojit Chatterji, Huaxia Zeng
A Taxonomy Of Non-Dictatorial Unidimensional Domains, Shurojit Chatterji, Huaxia Zeng
Research Collection School Of Economics
Non-dictatorial preference domains allow the design of unanimous social choice functions (henceforth, rules) that are non-dictatorial and strategy-proof. On a class of preference domains called unidimensional domains, we show that the unique seconds property characterizes all non-dictatorial domains. Subsequently, we provide an exhaustive classification of all non-dictatorial, unidimensional domains, based on a simple property of two-voter rules called invariance. The domains constituting the classification are semi-single-peaked domains and semi-hybrid domains (introduced here) which are two appropriate weakenings of single-peaked domains and shown to allow strategy-proof rules to depend on non-peak information of voters' preferences; the canonical strategy-proof rules for these …