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Multi-Profile Intergenerational Social Choice

Author

Listed:
  • Bossert, Walter
  • Suzumura, Kotaro
  • 鈴村, 興太郎
  • スズムラ, コウタロウ

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 & 鈴村, 興太郎 & スズムラ, コウタロウ, 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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    2. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
    3. Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
    4. Chichilnisky, Graciela & Hammond, Peter J. & Stern, Nicholas, 2018. "Should We Discount the Welfare of Future Generations? Ramsey and Suppes versus Koopmans and Arrow," CAGE Online Working Paper Series 386, Competitive Advantage in the Global Economy (CAGE).
    5. Susumu Cato, 2022. "Stable preference aggregation with infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 287-304, August.
    6. Susumu Cato, 2020. "Quasi-stationary social welfare functions," Theory and Decision, Springer, vol. 89(1), pages 85-106, July.
    7. Cato, Susumu, 2021. "Preference aggregation and atoms in measures," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    8. Walter Bossert & Kotaro Suzumura, 2012. "Multi-Profile Intertemporal Social Choice," Cahiers de recherche 09-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Bossert, Walter & Suzumura, Kotaro & 鈴村, 興太郎 & スズムラ, コウタロウ, 2009. "Decisive coalitions and coherence properties," PIE/CIS Discussion Paper 427, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.

    More about this item

    Keywords

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    JEL classification:

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

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