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On Constrained Dual Recoverability Theorems

Author

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

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.

Suggested Citation

  • Suzumura, Kotaro & 鈴村, 興太郎 & スズムラ, コウタロウ & Xu, Yongsheng, 2002. "On Constrained Dual Recoverability Theorems," Discussion Paper 123, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:piedp1:123
    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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    References listed on IDEAS

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    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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