Skip to main content
Log in

A multi-criteria model to explain some empirical violations of basic assumptions of expected utility theory

  • Published:
Quality & Quantity Aims and scope Submit manuscript

Abstract

In economics, the Expected Utility (EU) model is the normative benchmark for decision making under risk. However, empirical studies have shown that many behavioural phenomena are inconsistent with the predictions of this model. Observing empirical evidence, behavioural economics has demonstrated that people do not always make rational, or optimal, decisions, even if they have the information and tools with which to do so. People’s choices are influenced by their emotions and impulsiveness, and depend on their environment and circumstances (context): overconfidence, loss aversion, and self-control are the main statements in behavioural economics. Starting from past studies concerning the use of multi-criteria method based on prospect theory for describing people behavior (Gomes and Lima 1991), this paper aims at proposing a multi-criteria method as a tool to model some behavioural anomalies. It begins by analysing some decision problems proposed in the literature (Kahneman and Tversky 1979), showing that people’s preferences may violate some of the axioms of the EU model. Then, it proposes a multi-criteria approach to model human behaviour in these problems, that is, when emotional factors and cognitive biases influence people’s choices: e.g., the certainty effect and the reflection effect. Among several multi-critria methods, the ELimination Et Choix Traduisant la REalité (ELECTRE) method is used due to its main features: it allows dealing with positive and negative reasons in order to model the preferences, including with heterogeneous scales; its preference and indifference thresholds allow taking into account an imperfect knowledge of the data; no systematic compensation exists between “gains” and “losses”. The results show that the ELECTRE III method provides the same preferences expressed by the majority of respondents in the experiments considered. In other words, a multi-criteria tool accounts for some behavioural anomalies, in particular, those relating to certainty and reflection effects.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Allais, M.: Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’ecole americaine. Econometrica 21, 503–546 (1953)

    Article  Google Scholar 

  • Corrente, S., Greco, S., Slowinski, R.: Multiple criteria hierarchy process for electre tri methods. Eur. J. Op. Res. 252, 191–203 (2016)

    Article  Google Scholar 

  • Ellsberg, D.: Risk, ambiguity and savage axioms. Q. J. Econ. 75, 643–669 (1961)

    Article  Google Scholar 

  • Figueira, J., Greco, S., Roy, B., Slowinski, R.: An overview of electre methods and their recent extensions. J. Multi-Criteria Decis. Anal. 20, 61–85 (2013)

    Article  Google Scholar 

  • Figueira, J., Greco, S., Slowinski, R.: Building a set of additive value functions representing a reference preorder and intensities of preference: grip method. Eur. J. Op. Res. 195, 460–486 (2009)

    Article  Google Scholar 

  • Figueira, J., Mousseau, V., Roy, B.: ELECTRE methods. Springer, Cham (2015)

    Google Scholar 

  • Gomes, L.F.A.M., Lima, M.M.P.P.: TODIM: basic and application to multicriteria ranking of projects with environmental impacts. Found. Comput. Decis. Sci. 16(3), 113–127 (1991)

    Google Scholar 

  • Gomes, L.F.A.M., Machado, M.A.S., Gonzalez, X.I., Rangel, L.A.D.: Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions. Annals Op. Res. 25, 871 (2013)

    Google Scholar 

  • Gomes, L.F.A.M., Rangel, L.A.D.: An application of the TODIM method to the multicriteria rental evaluation of residential properties. Eur. J. Op. Res. 193, 204–211 (2009)

    Article  Google Scholar 

  • Hollnagel, E.: The ETTO Principle: Efficiency-Thoroughness Trade-Off. Ashgate, Why Things that Go Right Sometimes Go Wrong (2009)

  • Ishizaka, A., Nemery, P.: Multi-criteria decision analysis methods and software. Wiley, New Jersey (2013)

    Book  Google Scholar 

  • Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk, in: Handbook of the Fundamentals of Financial Decision Making: Part I, World Scientific (2013) 99-127

  • Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 2, 263–291 (1979)

    Article  Google Scholar 

  • Klein, G.: Naturalistic decision making. Human Factors 50, 456–460 (2008)

    Article  Google Scholar 

  • Korhonen, P., Moskowitz, H., Wallenius, J.: Choice behavior in interactive multiple criteria decision making. Annals Op. Res. 23, 161–179 (1990)

    Article  Google Scholar 

  • Llamazared, B.R.: An analysis of the generalized TODIM method. Eur. J. Op. Res. 269(3), 1041–1049 (2018)

    Article  Google Scholar 

  • Leoneti, A.B., Gomes, L.F.A.M.: A novel version of the TODIM method based on the exponential model of prospect theory: the ExpTODIM method. Eur. J. Op. Res. 295, 1042–1055 (2021)

    Article  Google Scholar 

  • Maialeh, R.: Generalization of results and neoclassical rationality: unresolved controversies of behavioural economics methodology. Quality & Quantity 53, 1743–1761 (2019)

    Article  Google Scholar 

  • Morton, A., Fasolo, B.: Behavioural decision theory for multi-criteria decision analysis: a guided tour. J. Op. Res. Soc. 60, 268–275 (2009)

    Article  Google Scholar 

  • Pasman, H., Rogers, W., Behie, S.: Selecting a method/tool for risk-based decision making in complex situations. J. Loss Prevent. Process Industr. 74, 871 (2022). https://doi.org/10.1016/j.jlp.2021.104669

    Article  Google Scholar 

  • Rangel, L.A.D., Gomes, L.F.A.M., Cardoso, F.P.: An application of the TODIM method to the evaluation of broadband internet plans. Pesquisa Operacional 31(2), 235–249 (2011)

    Article  Google Scholar 

  • Rangel, L.A.D., Gomes, L.F.A.M., Moreira, R.A.: Decision theory with multiple criteria: an application of ELECTRE IV and TODIM to Sebrae/RJ. Pesquisa Operacional 29(3), 577–590 (2009)

    Article  Google Scholar 

  • Roy, B.: The outranking approach and thinks of electre methods. Theor. Decis. 31, 49–73 (1991)

    Article  Google Scholar 

  • Roy, B., Bouyssou, D.: Aide Multicritere a la Decision: Methodes et Cas, Economica (1993)

  • Roy, B., Mousseau, V.: A theoretical framework for analysing the notion of relative importance of criteria. J. Multi-Criteria Decis. Anal. 5(2), 145–159 (1996)

    Article  Google Scholar 

  • Salminen, P.: Solving the discrete multiple criteria problem using linear prospect theory. Eur. J. Op. Res. 72, 146–154 (1994)

    Article  Google Scholar 

  • Schoemaker, P.: The expected utility model: its variantes, purposes, evidence and limitations. J. Econ. Literature 20(2), 529–563 (1982)

    Google Scholar 

  • Shefrin, H.: Behavioral decision making, forecasting, game theory, and role-play. Int. J. Forecast. 18, 375–382 (2002)

    Article  Google Scholar 

  • Simon, H.A.: Invariants of human behavior. Annual Rev. Psychol. 41(1), 1–19 (1990). https://doi.org/10.1146/annurev.ps.41.020190.000245

    Article  Google Scholar 

  • Slovic, P., Fischhoff, B., Lichtenstein, S.: Behavioral decision theory perspectives on risk and safety. Acta Psychol. 56, 182–203 (1984)

    Article  Google Scholar 

  • Thaler, R.: Towards a positive theory of consumer choice. J. Econ. Behav. Organ. 1, 39–60 (1980)

    Article  Google Scholar 

  • Tversky, A., Kahneman, D.: Judgment under uncertainty: heuristics and biases. Science 185, 1124–1131 (1974)

    Article  Google Scholar 

  • Tversky, A., Kahneman, D.: Loss aversion in riskless choice: a reference-dependent model. Q. J. Econ. 106, 1039–1061 (1991)

    Article  Google Scholar 

  • Tversky, A., Kahneman, D.: Rational Choice and the Framing of Decisions, The Journal of Business, 59(4) pt.2: The Behavioral Foundations of Economic Theory (1986) S251-S278

  • von Neumann, J., Morgenstern, O.: Theory of games and economic behavior, 2nd edn. Princeton University Press, Princeton (1947)

    Google Scholar 

  • Wang, L., Wang, Y.M., Martinez, L.: Fuzzy TODIM method based on alpha-level sets. Expert Syst. Appl. 140(2), 1–15 (2020)

    Google Scholar 

  • Wang, L., Wang, Y.M., Martínez, L.: A group decision method based on prospect theory for emergency situations. Inf. Sci. 418–419, 119–135 (2017)

    Article  Google Scholar 

  • Wei, C.P., Ren, Z., Rodríguez, R.M.: A hesitant fuzzy linguistic TODIM method based on a score function. Int. J. Comput. Intell. Syst. 8(2), 701–712 (2015)

    Article  Google Scholar 

  • Zhong, Y., Li, Y., Yang, Y., Li, T., Jia, Y.: An improved three-way decision model based on prospect theory. Int. J. Approx. Reason. 142, 109–129 (2022)

    Article  Google Scholar 

Download references

Funding

The authors have not disclosed any funding.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gabriella Marcarelli.

Ethics declarations

Conflict of interest

The author has no affiliations with or involvement in any organisation or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Marcarelli, G. A multi-criteria model to explain some empirical violations of basic assumptions of expected utility theory. Qual Quant 57, 3321–3337 (2023). https://doi.org/10.1007/s11135-022-01521-7

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11135-022-01521-7

Keywords

Navigation