821期 10月17日 :Random Mechanism Design on Multidimensional Domains(曾华夏 副研究员, 中山大学)

发布者:系统管理员发布时间:2017-10-17浏览次数:185

【主讲】曾华夏 副研究员 (中山大学)

【主题】Random Mechanism Design on Multidimensional Domains

【时间】2017年10月17日 (周二) 15:30-17:00

【地点】上海财经大学经济学院楼401室

【语言】英文

【摘要】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 the 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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