Strategy-Proof Allocation of Multiple Public Goods
AbstractWe characterize the set of strategy-proof social choice functions (SCFs), the outcome of which are multiple public goods. The set of feasible alternatives is a subset of a product set with a finite number of elements. We do not require the SCFs to be ‘onto’, but instead impose the weaker requirement that every element in each category of public goods is attained at some preference profile. Admissible preferences are arbitrary rankings of the goods in the various categories, while a separability restriction concerning preferences among the various categories is assumed. We find that the range of the SCF is uniquely decomposed into a product set in general coarser than the original product set, and that the SCF must be dictatorial in each component of the range. If the range cannot be decomposed at all, the SCF is dictatorial in spite of the separability assumption on preferences, and a form of the Gibbard-Satterthwaite theorem with a restricted preference domain is obtained.
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Bibliographic InfoPaper provided by Lund University, Department of Economics in its series Working Papers with number 2005:3.
Length: 16 pages
Date of creation: 19 Jan 2005
Date of revision: 02 Feb 2007
Publication status: Published as Svensson, Lars-Gunnar and Pär Torstensson, 'Strategy-Proof Allocation of Multiple Public Goods' in Social Choice and Welfare, 2008, pages 181-196.
Note: The paper is forthcoming in "Social Choice and Welfare".
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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
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Strategy-proof; multiple public goods; decomposability; weakly onto; component-wise dictatorial.;
Other versions of this item:
- Lars-Gunnar Svensson & Pär Torstensson, 2008. "Strategy-proof allocation of multiple public goods," Social Choice and Welfare, Springer, vol. 30(2), pages 181-196, February.
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-02-01 (All new papers)
- NEP-MIC-2005-02-01 (Microeconomics)
- NEP-PBE-2005-02-01 (Public Economics)
- NEP-PUB-2005-02-01 (Public Finance)
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