テクニカルレポート Characterizations of Social Choice Correspondences Based on Equality of Capabilities in a Pure Exchange Economy

Sakamoto, Norihito

2017-11 , Institute of Economic Research, Hitotsubashi University
内容記述
This paper examines theoretical properties of Amartya Sen's capability approach in a formal model which describes a simple exchange economy with unequal abilities. Specifically, we define and axiomatically characterize the following two classes of social choice correspondences (SCCs) based on the notion of ""equality of capabilities"": (1) SCCs which assign egalitarian and efficient allocations in terms of a social preference ordering defined on capability sets; (2) SCCs which maximize an intersection of all individuals' capability sets with respect to the relation of set inclusion. Our main results show that in a single-good economy, two SCCs can be characterized by a similar combination of three requirements: principles of equal treatment, Pareto efficiency, and rank preservation. However, in a two or more goods economy, a class of SCCs maximizing an intersection of capabilities cannot be characterized by the above three principles, while they are still necessary conditions.
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http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/28993/1/2017dp4.pdf

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