Truthful implementation and preference aggregation in restricted domains

Juan Carlos Carbajal, Andrew McLennan () and Rabee Tourky

Journal of Economic Theory, 2013, vol. 148, issue 3, 1074-1101

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; and 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 in such domain. We provide a generalization of the theorem of Roberts (1979) [36] 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 compact metric space, or the space of piecewise linear functions defined on an affine space, or the space of smooth functions defined on a compact differentiable manifold. We provide applications of our results to public goods allocation settings, with finite and infinite alternative sets.

Keywords: Robertsʼ theorem; Truthful implementation; Monotonicity in differences; Lexicographic affine maximization; Domain restrictions (search for similar items in EconPapers)
JEL-codes: C72 D70 D82 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (19)

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Working Paper: Truthful Implementation and Preference Aggregation in Restricted Domains (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:148:y:2013:i:3:p:1074-1101

DOI: 10.1016/j.jet.2012.11.001

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