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[Seminar] Random Mechanism Design on Multidimensional Domains.


[Seminar] Random Mechanism Design on Multidimensional Domains.



일시 : 2017 11 23일 목요일 15:00-16:00

장소 : 16 655

발표 : Huaxia Zeng(Sun Yat-sen University)

공동주최 : BK21플러스 경제학 사업단



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 flexible 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).

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