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Multi-Profile Intergenerational Social Choice

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  • Bossert, Walter
  • Suzumura, Kotaro

Abstract

In an infinite-horizon setting, Ferejohn and Page showed that Arrow's axioms and stationarity lead to a dictatorship by the first generation. Packel strengthened this result by proving that no collective choice rule generating complete social preferences can satisfy unlimited domain, weak Pareto and stationarity. We prove that a domain restriction can be imposed and completeness can be dropped without affecting the incompatibility. We propose a more suitable stationarity axiom and show that a social welfare function on a specific domain satisfies this modified version if and only if it is a chronological dictatorship.

Suggested Citation

  • Bossert, Walter & Suzumura, Kotaro, 2009. "Multi-Profile Intergenerational Social Choice," PIE/CIS Discussion Paper 426, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hit:piecis:426 Note: This version: August 9, 2008
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    References listed on IDEAS

    as
    1. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
    2. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    3. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    4. Campbell, Donald E., 1990. "Intergenerational social choice without the Pareto principle," Journal of Economic Theory, Elsevier, vol. 50(2), pages 414-423, April.
    5. Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum 08/2005, Oslo University, Department of Economics.
    6. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
    7. John Ferejohn & Talbot Page, 1978. "On the Foundations of Intertemporal Choice," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 60(2), pages 269-275.
    8. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    9. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    10. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    11. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    12. Kotaro Suzumura, 1999. "Welfare Economics Beyond Welfarist-Consequentialism," Discussion Paper Series a382, Institute of Economic Research, Hitotsubashi University.
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    Citations

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    Cited by:

    1. Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
    2. Bossert, Walter & Suzumura, Kotaro, 2009. "Decisive coalitions and coherence properties," PIE/CIS Discussion Paper 427, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    3. BOSSERT, Walter & SUZUMURA, Kotaro, 2012. "Multi-Profile Intertemporal Social Choice," Cahiers de recherche 2012-08, Universite de Montreal, Departement de sciences economiques.

    More about this item

    Keywords

    Multi-Profile Social Choice; Infinite-Horizon Intergenerational Choice; Lexicographic Dictatorships;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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