Truthful Implementation and Preference Aggregation in Restricted Domains

Juan Carlos Carbajal (), Andrew McLennan () and Rabee Tourky ()
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Juan Carlos Carbajal: School of Economics, The University of Queensland
Rabee Tourky: School of Economics, The University of Queensland

No 459, Discussion Papers Series from University of Queensland, School of Economics

Abstract: In a setting where agents have quasi-linear utilities over social alternatives and a transferable commodity, we consider three properties that a social choice function may possess: truthful implementation (in dominant strategies); monotonicity in differences; lexicographic affine maximization. We introduce the notion of a flexible domain of preferences that allows elevation of pairs and study which of these conditions implies which others when the domain is flexible. We provide a generalization of the theorem of Roberts (1979) in restricted valuation domains. Flexibility holds (and the theorem is not vacuous) if the domain of valuation profiles is restricted to the space of continuous functions defined on a topological space, or the space of piecewise linear functions defined on an affine space, or the space of smooth functions defined on a compact differentiable man- ifold. Our results can be applied in both public and private goods allocation settings, with finite or infinite alternative sets.

Date: 2012
New Economics Papers: this item is included in nep-cdm and nep-mic
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Related works:
Journal Article: Truthful implementation and preference aggregation in restricted domains (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:qld:uq2004:459

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