[Seminar] Random Mechanism Design on Multidimensional Domains.
일시 : 2017년 11월 23일 목요일 15:00-16:00
장소 : 16동 655호
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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