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Dynamic choices, temporal invariance and variational discounting

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  • Bach Dong-Xuan
  • Philippe Bich

Abstract

People often face trade-offs between costs and benefits occurring at various points in time. The predominant discounting approach is to use the exponential form. Central to this approach is the discount rate, a unique parameter that converts a future value into its present equivalent. However, a universally accepted discount rate remains a matter of ongoing debate and lacks consensus. This paper provides a robust solution for resolving conflicts in discount rates, which recommends considering all discount rates but aims to assign varying degrees of importance to these rates. Moreover, a considerable number of economists support a theory that suggests equal consideration of future and present utilities. In response to this debate, we introduce a general criterion capable of accommodating situations where it is feasible not to discount future utilities. This criterion encompasses and extends various existing criteria in the literature.

Suggested Citation

  • Bach Dong-Xuan & Philippe Bich, 2024. "Dynamic choices, temporal invariance and variational discounting," Papers 2408.05632, arXiv.org.
  • Handle: RePEc:arx:papers:2408.05632
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    References listed on IDEAS

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    1. Alain Chateauneuf & Fabio Maccheroni & Massimo Marinacci & Jean-Marc Tallon, 2005. "Monotone continuous multiple priors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 973-982, November.
    2. Pivato, Marcus, 2022. "A characterization of Cesàro average utility," Journal of Economic Theory, Elsevier, vol. 201(C).
    3. Millner, Antony & Heal, Geoffrey, 2018. "Discounting by committee," Journal of Public Economics, Elsevier, vol. 167(C), pages 91-104.
    4. Chateauneuf, Alain & Rebille, Yann, 2004. "Some characterizations of non-additive multi-period models," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 235-250, November.
    5. , R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
    6. 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.
    7. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    8. Stéphane Zuber, 2011. "The aggregation of preferences: can we ignore the past?," Theory and Decision, Springer, vol. 70(3), pages 367-384, March.
    9. Rebille, Yann, 2007. "Patience in some non-additive models," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 749-763, August.
    10. Khan, Urmee & Stinchcombe, Maxwell B., 2018. "Planning for the long run: Programming with patient, Pareto responsive preferences," Journal of Economic Theory, Elsevier, vol. 176(C), pages 444-478.
    11. Bård Harstad, 2020. "Technology and Time Inconsistency," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2653-2689.
    12. Millner, Antony & Healey, Andrew, 2018. "Discounting by committee," LSE Research Online Documents on Economics 90246, London School of Economics and Political Science, LSE Library.
    13. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
    14. Marinacci, Massimo, 1998. "An Axiomatic Approach to Complete Patience and Time Invariance," Journal of Economic Theory, Elsevier, vol. 83(1), pages 105-144, November.
    15. Carl Christian von Weizäscker, 1965. "Existence of Optimal Programs of Accumulation for an Infinite Time Horizon," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 85-104.
    16. Matthew O. Jackson & Leeat Yariv, 2015. "Collective Dynamic Choice: The Necessity of Time Inconsistency," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 150-178, November.
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