Arbeitspapier
A Characterization of Strategy-Proof Social Choice Functions for Economies with Pure Public Goods
We characterize strategy-proof social choice functions when individual have strictly quasi-concave, continuous and satiated utility functions on convex subsets |R^l, representing preferences for the provision of l pure public goods. When specialized to the case l=1, these assumptions amount to requiring that preferences are single peaked, and for such a domain there exists a wide class of strategy-proof social choice functions. These were studied by Moulin (1980) under additional assumptions. Our first results characterize the complete class, after an appropriate extension of the single-peakedness condition. The new characterization retains the flavor of Moulin's elegant representation theorem. For the general l-dimensional case, previous results have shown that there is no efficient, strategy-proof, nondictatorial social choice function, even within the domain restrictions under consideration [Border and Jordan (1983), Zhou (1991)]. In fact, Zhou's powerful results indicates that nondictatorial strategy-proof s.c.f.'s will have a range of dimension one. This allows us to conclude with a complete characterization of all strategy-proof s.c.f.'s on |R^l, because restrictions of preferences from our admissible class to one dimensional subsets satisfy the slightly generalized notion of single-peakedness that is used in our characterization for the case l=1. We feel that a complete knowledge of the class of strategy-proof mechanisms, in this as well as in other contexts, is an important step in the analysis of the trade-offs between strategy-proofness and other performance criteria, like efficiency.
- Language
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Englisch
- Bibliographic citation
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Series: Discussion Paper ; No. 964
- Classification
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Wirtschaft
- Event
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Geistige Schöpfung
- (who)
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Barbera, Salvador
Jackson, Matthew
- Event
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Veröffentlichung
- (who)
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Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
- (where)
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Evanston, IL
- (when)
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1991
- Handle
- Last update
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10.03.2025, 11:42 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Barbera, Salvador
- Jackson, Matthew
- Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
Time of origin
- 1991
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