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Random Mechanism Design On Multidimensional Domains, Shurojit Chatterji, Huaxia Zeng
Random Mechanism Design On Multidimensional Domains, Shurojit Chatterji, Huaxia Zeng
Research Collection School Of Economics
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 flexible …