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Strategy-proofness versus efficiency for small domains of preferences over public goods

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Author Info
James Schummer () (MEDS, Kellogg GSM, Northwestern University, Evanston, IL 60208-2001, USA)

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Abstract

It has long been known that when agents have von Neumann-Morgenstern preferences over lotteries, there is an incompatibility between strategy-proofness and efficiency (Gibbard, [9]; Hylland, [12]) - a solution satisfying those properties must be dictatorial. We strengthen this result by showing that it follows from the same incompatibility on a series of much smaller domains of preferences.

Specifically, we first show the incompatibility to hold on our smallest domain, in which two agents are restricted to have linear preferences over one private good and one public good produced from the private good (Kolm triangle economies). This result then implies the same incompatibility on increasingly larger domains of preferences, ending finally with the class of von Neumann-Morgenstern preferences over lotteries.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 13 (1999)
Issue (Month): 3 ()
Pages: 709-722
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Handle: RePEc:spr:joecth:v:13:y:1999:i:3:p:709-722

Note: Received: February 6, 1997; revised version: January 29, 1998
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Related research
Keywords: Strategyproof Public goods · Lotteries. ·;

Cited by:
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  1. James Schummer & Rakesh V. Vohra, 1999. "Strategy-proof Location on a Network," Discussion Papers 1253, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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