Maskin-monotonic scoring rules

Date
2015
Authors
Dogan, B.
Koray, S.
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Source Title
Social Choice and Welfare
Print ISSN
0176-1714
Electronic ISSN
1432-217X
Publisher
Springer
Volume
44
Issue
2
Pages
423 - 432
Language
English
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Abstract

We characterize which scoring rules are Maskin-monotonic for each social choice problem as a function of the number of agents and the number of alternatives. We show that a scoring rule is Maskin-monotonic if and only if it satisfies a certain unanimity condition. Since scoring rules are neutral, Maskin-monotonicity turns out to be equivalent to Nash-implementability within the class of scoring rules. We propose a class of mechanisms such that each Nash-implementable scoring rule can be implemented via a mechanism in that class. Moreover, we investigate the class of generalized scoring rules and show that with a restriction on score vectors, our results for the standard case are still valid.

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