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Unanimity in attribute-based preference domains

Sidartha Gordon ()

Social Choice and Welfare, 2015, vol. 44, issue 1, 13-29

Abstract: We provide several characterizations of unanimity decision rules, in a public choice model where preferences are constrained by attributes possessed by the alternatives (Nehring and Puppe, Games Econ Behavior 59:132–153, 2007a ; Nehring and Puppe, J Econ Theory 135:269–305, 2007b ). Solidarity conditions require that when some parameters of the economy change, the agents whose parameters are kept fixed either all weakly lose or they all weakly win. Population-monotonicity (Thomson, Math Oper Res 8:319–326, 1983a ; Thomson, J Econ Theory 31:211–226, 1983b ) applies to the arrival and departure of agents, while replacement-domination (Moulin, Q J Econ 102:769–783, 1987 ) applies to changes in preferences. We show that either solidarity property is compatible with voter-sovereignty and strategy-proofness if and only if the attribute space is quasi-median (Nehring, Social aggregation without veto, Mimeo, 2004 ), and with Pareto-efficiency if and only if the attribute space is a tree. Each of these combinations characterizes unanimity. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Solidarity; Population-monotonicity; Replacement-domination; Unanimity; Strategy-proofness; Attribute-based Domains; Generalized Single-Peaked Domains; D63; D71; H41 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00355-014-0809-8

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