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Discounted and Expected Utility from the Probability and Time Trade-Off Model

Author

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  • Salvador Cruz Rambaud

    (Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, Spain
    La Cañada de San Urbano, s/n, 04120 Almería, Spain.)

  • Ana María Sánchez Pérez

    (Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, Spain
    La Cañada de San Urbano, s/n, 04120 Almería, Spain.)

Abstract

This paper shows the interaction between probabilistic and delayed rewards. In decision- making processes, the Expected Utility (EU) model has been employed to assess risky choices whereas the Discounted Utility (DU) model has been applied to intertemporal choices. Despite both models being different, they are based on the same theoretical principle: the rewards are assessed by taking into account the sum of their utilities and some similar anomalies have been revealed in both models. The aim of this paper is to characterize and consider particular cases of the Time Trade-Off (PPT) model and show that they correspond to the EU and DU models. Additionally, we will try to build a PTT model starting from a discounted and an expected utility model able to overcome the limitations pointed out by Baucells and Heukamp.

Suggested Citation

  • Salvador Cruz Rambaud & Ana María Sánchez Pérez, 2020. "Discounted and Expected Utility from the Probability and Time Trade-Off Model," Mathematics, MDPI, vol. 8(4), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:601-:d:345837
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    References listed on IDEAS

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