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On constrained dual recoverability theorems

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  • Suzumura, Kotaro
  • 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.
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  • Suzumura, Kotaro & Xu, Yongsheng, 2003. "On constrained dual recoverability theorems," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 143-154, April.
    • Handle: RePEc:eee:matsoc:v:45:y:2003:i:2:p:143-154
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    1. Suzumura, Kotaro, 1999. "Paretian Welfare Judgements and Bergsonian Social Choice," Economic Journal, Royal Economic Society, vol. 109(455), pages 204-220, April.
    2. Kotaro Suzumura & Yongsheng Xu, 2003. "Recoverability of choice functions and binary relations: some duality results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 21-37, August.
    3. Banerjee, Asis & Pattanaik, Prasanta K., 1996. "A note on a property of maximal sets and choice in the absence of universal comparability," Economics Letters, Elsevier, vol. 51(2), pages 191-195, May.
    4. T. de Scitovszky, 1941. "A Note on Welfare Propositions in Economics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 77-88.
    5. Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
    6. Paul A. Samuelson, 1950. "Evaluation Of Real National Income," Oxford Economic Papers, Oxford University Press, vol. 2(1), pages 1-29.
    7. Rubin Saposnik, 1983. "On evaluating income distributions: Rank dominance, the Suppes-Sen grading principle of justice, and Pareto optimality," Public Choice, Springer, vol. 40(3), pages 329-336, January.
    8. W. M. Gorman, 1955. "The Intransitivity Of Certain Criteria Used In Welfare Economics," Oxford Economic Papers, Oxford University Press, vol. 0(1), pages 25-34.
    9. Mishan, E J, 1980. "The New Welfare Economics: An Alternative View," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(3), pages 691-705, October.
    10. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Upper semicontinuous extensions of binary relations," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 231-246, May.
    11. Chipman, John S & Moore, James C, 1978. "The New Welfare Economics, 1939-1974," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 547-584, October.
    12. Madden, Paul, 1996. "Suppes-Sen dominance, generalised Lorenz dominance and the welfare economics of competitive equilibrium: Some examples," Journal of Public Economics, Elsevier, vol. 61(2), pages 247-262, August.
    13. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-390, November.
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    More about this item

    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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