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Subadditivity, patience, and utility: The effects of dividing time intervals

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  • McAlvanah, Patrick

Abstract

Previous work has demonstrated that time discounting is subadditive: individuals exhibit more impatience evaluating a delay as divided into sub-intervals. This paper argues that subdivision affects both components of intertemporal choice, the utility function as well as the intertemporal discount function. In my first experiment, I demonstrate that differential concavity of utility for gains and convexity for losses implies that the discounting of losses is even more subadditive than the discounting of gains. Individuals display even more relative impatience over divided time intervals for negative amounts of money than for positive amounts of money. My second experiment utilizes alternative elicitation methods, which impose an intertemporal status quo, to highlight these utility effects. Subadditivity is stronger when delaying an early gain than for hastening a later gain. The reverse pattern holds for losses; discounting is more subadditive when hastening a later loss than for delaying an earlier loss.

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  • McAlvanah, Patrick, 2010. "Subadditivity, patience, and utility: The effects of dividing time intervals," Journal of Economic Behavior & Organization, Elsevier, vol. 76(2), pages 325-337, November.
  • Handle: RePEc:eee:jeborg:v:76:y:2010:i:2:p:325-337
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    Cited by:

    1. Cruz Rambaud, Salvador & Muñoz Torrecillas, María José, 2013. "A generalization of the q-exponential discounting function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(14), pages 3045-3050.
    2. Charles Courtemanche & Garth Heutel & Patrick McAlvanah, 2015. "Impatience, Incentives and Obesity," Economic Journal, Royal Economic Society, vol. 125(582), pages 1-31, February.

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