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

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 differen...

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Main Authors: Salvador Cruz Rambaud, Ana María Sánchez Pérez
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/4/601
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author Salvador Cruz Rambaud
Ana María Sánchez Pérez
author_facet Salvador Cruz Rambaud
Ana María Sánchez Pérez
author_sort Salvador Cruz Rambaud
collection DOAJ
description 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.
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spelling doaj.art-15ab4bfb2757453d929b928d1d4d274b2023-11-19T21:41:18ZengMDPI AGMathematics2227-73902020-04-018460110.3390/math8040601Discounted and Expected Utility from the Probability and Time Trade-Off ModelSalvador Cruz Rambaud0Ana María Sánchez Pérez1Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, SpainDepartamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, SpainThis 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.https://www.mdpi.com/2227-7390/8/4/601riskdelaydecision-making processprobabilitydiscount
spellingShingle Salvador Cruz Rambaud
Ana María Sánchez Pérez
Discounted and Expected Utility from the Probability and Time Trade-Off Model
Mathematics
risk
delay
decision-making process
probability
discount
title Discounted and Expected Utility from the Probability and Time Trade-Off Model
title_full Discounted and Expected Utility from the Probability and Time Trade-Off Model
title_fullStr Discounted and Expected Utility from the Probability and Time Trade-Off Model
title_full_unstemmed Discounted and Expected Utility from the Probability and Time Trade-Off Model
title_short Discounted and Expected Utility from the Probability and Time Trade-Off Model
title_sort discounted and expected utility from the probability and time trade off model
topic risk
delay
decision-making process
probability
discount
url https://www.mdpi.com/2227-7390/8/4/601
work_keys_str_mv AT salvadorcruzrambaud discountedandexpectedutilityfromtheprobabilityandtimetradeoffmodel
AT anamariasanchezperez discountedandexpectedutilityfromtheprobabilityandtimetradeoffmodel