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Random Mechanism Design on Multidimensional Domains

Shurojit Chatterji () and Huaxia Zeng ()
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Shurojit Chatterji: School of Economics, Singapore Management University
Huaxia Zeng: Lingnan College, Sun Yat-Sen University

No 17-2017, Economics and Statistics Working Papers from Singapore Management University, School of Economics

Abstract: We study random mechanism design in an environment where the set of alternatives has a Cartesian product structure. We first show that all generalized random dictatorships are strategy-proof on a minimally rich domain if and only if the domain is a top-separable domain. We next generalize the notion of connectedness (Monjardet, 2009) to establish a particular class of top-separable domains: connected domains, and show that in the class of minimally rich and connected domains, the multidimensional single-peakedness restriction is necessary and sufficient for the design of a flexible random social choice function that is unanimous and strategy-proof. Such a fl exible function is distinct from generalized random dictatorships in that it allows for a systematic notion of compromise. Our characterization remains valid (under an additional hypothesis) for a problem of voting with constraints where not all alternatives are feasible (Barbera et al., 1997).

Keywords: Generalized random dictatorships; Top-separable domains; Connected domains; Multidimensional single-peaked domains; Constrained voting. (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 54 pages
Date: 2017-10-24
New Economics Papers: this item is included in nep-mic and nep-sea
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