On Constrained Dual Recoverability Theorems

Kotaro Suzumura, 興太郎 鈴村, コウタロウ スズムラ and Yongsheng Xu

No 123, Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

Abstract: In a recent paper ["Paretian Welfare Judgements and Bergsonian Social Choice," Economic Journal, Vol. 109, 1999, pp. 204-220], Suzumura proposed a possible way of relating the two schools of "new" welfare economics. According to his proposal, the logical possibility of the Paretian "new" welfare economics can be reduced to the constrained dual choice-functional recoverability of the Pareto-compatible Bergson-Samuelson social welfare ordering by means of the Pareto-compatible and consistent sub-relations thereof. He also identified the necessary and sufficient condition for this crucial property to hold. However, he posed but left open the problem of the constrained dual choice-functional recoverability of the Pareto-compatible Bergson-Samuelson social welfare ordering by means of the Pareto-compatible and transitive sub-relations thereof. The first purpose of this paper is to settle this open question. The second purpose of this paper is to pose and settle related problems of the constrained dual relational recoverability of the Pareto-compatible Bergson-Samuelson social welfare ordering by means of the Pareto-compatible and either consistent or transitive sub-relations thereof.

JEL-codes: C60 D60 D70 (search for similar items in EconPapers)
Pages: 16 pages
Date: 2002-11
Note: Revised Version: November 7, 2002, We would like to thank Professor Prasanta K. Pattanaik for numerous discussions on this and related subjects we have had over the years. It is our great pleasure as well as honour to dedicate this paper to celebrate his 60th birthday. Financial support through a Grant-in-Aid for Scientific Research for Priority Areas Number 603 from the Ministry of Education, Science and Culture of Japan is gratefully acknowledged. Thanks are also due to the anonymous referee of this journal, whose incisive comments greatly improved the exposition of the paper.
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Journal Article: On constrained dual recoverability theorems (2003)
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