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A theory of time preferences over risky outcomes

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  • Dubra, Juan

Abstract

This paper provides two representation theorems for time preferences. They both cover as special cases a variety of time preference models considered in the experimental and theoretical literatures on intertemporal choice. In particular, similarity relations on time and outcomes, exponential, quasi-hyperbolic and hyperbolic discounting are special cases of the theorems. This approach identifies certain factors that are common to time preference structures which look so different. The paper builds on the recent work by Masatlioglu and Ok [Masatlioglu, Y., Ok, E., 2008. A theory of (relative) discounting. Journal of Economic Theory, in press] on Euclidean bundles and obtains similar representation theorems for the case of compact, separable and connected spaces of bundles. My work allows for the inclusion of the case in which bundles are lotteries.

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  • Dubra, Juan, 2009. "A theory of time preferences over risky outcomes," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 576-588, September.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:576-588
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    1. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-694, October.
    2. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    3. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    4. Rubinstein, Ariel, 1988. "Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?)," Journal of Economic Theory, Elsevier, vol. 46(1), pages 145-153, October.
    5. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    6. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    7. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
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    Cited by:

    1. Alekseev, Aleksandr & Sokolov, Mikhail V., 2021. "How to measure the average rate of change?," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 43-59.
    2. Tomáš Želinský, 2015. "Nekonzistentnosť časových preferencií ľudí z arginalizovaných rómskych komunít [On inconsistency of time preferences of people from the marginalised roma communities]," Politická ekonomie, Prague University of Economics and Business, vol. 2015(2), pages 204-222.
    3. Weixuan Xia, 2023. "Optimal Consumption--Investment Problems under Time-Varying Incomplete Preferences," Papers 2312.00266, arXiv.org, revised Jan 2025.
    4. Alexeev, Alexander G. & Sokolov, Mikhail V., 2014. "A theory of average growth rate indices," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 101-115.
    5. Alexeev, Alexander G. & Sokolov, Mikhail V., 2014. "A theory of average growth rate indices," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 101-115.
    6. Wei-zhi Qin & Hendrik Rommeswinkel, 2024. "Quasi-separable preferences," Theory and Decision, Springer, vol. 96(4), pages 555-595, June.

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