Random mechanism design on multidimensional domains

doi:10.1016/j.jet.2019.04.003

CORC > 上海财经大学 > 上海财经大学

	Random mechanism design on multidimensional domains
	Chatterji, Shurojit 1; Zeng, Huaxia 2,3
刊名	JOURNAL OF ECONOMIC THEORY
	2019-07
卷号	182 页码:25-105
关键词	Generalized random dictatorships Top-separability Separability Multidimensional single-peakedness Connected(+) domains Voting under constraints
ISSN号	0022-0531
DOI	10.1016/j.jet.2019.04.003
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 sd-strategy-proof on a minimally rich domain if and only if all preferences are top-separable. We call a domain satisfying top-separability a multidimensional domain, and furthermore generalize the notion of connectedness (Monjardet, 2009) to a broad class of multidimensional domains: connected(+) domains. We 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 sd-strategy-proof. Such a flexible random social choice function allows for a systematic notion of compromise. We prove an analogous result for deterministic social choice functions satisfying anonymity. Our characterization remains valid for a problem of voting under constraints where not all alternatives are feasible (Barbera et al., 1997). (C) 2019 Elsevier Inc. All rights reserved.
WOS研究方向	Business & Economics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000472702000002
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/210]
专题	上海财经大学
通讯作者	Zeng, Huaxia
作者单位	1.Singapore Management Univ, Sch Econ, Singapore, Singapore; 2.Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China; 3.Minist Educ, Key Lab Math Econ SUFE, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Chatterji, Shurojit,Zeng, Huaxia. Random mechanism design on multidimensional domains[J]. JOURNAL OF ECONOMIC THEORY,2019,182:25-105.
APA	Chatterji, Shurojit,&Zeng, Huaxia.(2019).Random mechanism design on multidimensional domains.JOURNAL OF ECONOMIC THEORY,182,25-105.
MLA	Chatterji, Shurojit,et al."Random mechanism design on multidimensional domains".JOURNAL OF ECONOMIC THEORY 182(2019):25-105.