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Université de Lausanne
Faculté des HEC
Département d'économétrie et d'économie politique

Cahier de recherches économiques du DEEP No. 16.14

Bettina Klaus and Panos Protopapas


Solidarity Properties of Choice Correspondences

July 15, 2016

Abstract

We consider the problem of choosing a set of locations of a public good on the real line. Similarly to Klaus and Storcken (2002), we ordinally extend the agents' preferences over compact subsets of the real line, and extend the results of Ching and Thomson (1996), Vohra (1909), and Klaus (2001) to choice correspondences. Specifically, we show that Pareto-efficiency and either population monotonicity or one-sided replacement-domination characterize the class of target set correspondences on the domains of single-peaked preferences and  symmetric single-peaked preferences.

JEL Classification: C71, D63, D78, H41

Keywords: choice correspondences, Pareto-efficiency, population-monotonicity, replacement-domination, single-peaked preferences, solidarity

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