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Infinite-Horizon Choice Functions

Author

Listed:
  • ASHEIM, Geir B.
  • BOSSERT, Walter
  • SPRUMONT, Yves
  • SUZUMURA, Kotaro

Abstract

We analyze infinite-horizon choice functions within the setting of a simple linear technology. Time consistency and efficiency are characterized by stationary consumption and inheritance functions, as well as a transversality condition. In addition, we consider the equity axioms Suppes-Sen, Pigou-Dalton, and resource monotonicity. We show that Suppes-Sen and Pigou-Dalton imply that the consumption and inheritance functions are monotone with respect to time—thus justifying sustainability—while resource monotonicity implies that the consumption and inheritance functions are monotone with respect to the resource. Examples illustrate the characterization results.

Suggested Citation

  • ASHEIM, Geir B. & BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2006. "Infinite-Horizon Choice Functions," Cahiers de recherche 05-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:05-2006
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    Cited by:

    1. Bazhanov, Andrei V., 2022. "Extraction path and sustainability," Resources Policy, Elsevier, vol. 76(C).
    2. Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    3. José Carlos R. Alcantud & María D. García-Sanz, 2013. "Evaluations of Infinite Utility Streams: Pareto Efficient and Egalitarian Axiomatics," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 432-447, July.
    4. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    5. Ram Dubey & Tapan Mitra, 2013. "On the nature of Suppes–Sen maximal paths in an aggregative growth model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 173-205, January.
    6. Tanguy Isaac & Paolo Piacquadio, 2015. "Equity and efficiency in an overlapping generation model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 549-565, March.
    7. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    8. Castellano, Rosella & Cerqueti, Roy & Spinesi, Luca, 2016. "Sustainable management of fossil fuels: A dynamic stochastic optimization approach with jump-diffusion," European Journal of Operational Research, Elsevier, vol. 255(1), pages 288-297.
    9. José Alcantud, 2009. "Conditional ordering extensions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 495-503, June.
    10. M. Ali Khan & Metin Uyanık, 2021. "Topological connectedness and behavioral assumptions on preferences: a two-way relationship," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 411-460, March.
    11. Ram Sewak Dubey & Francesco Ruscitti, 2024. "Fair Allocations in an Overlapping Generations Economy," Studies in Microeconomics, , vol. 12(2), pages 172-199, August.
    12. Marcus Pivato, 2023. "Cesàro average utilitarianism in relativistic spacetime," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(4), pages 733-761, November.

    More about this item

    Keywords

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    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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