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Multiattribute regret: theory and experimental study

Author

Listed:
  • Yoichiro Fujii

    (Meiji University)

  • Hajime Murakami

    (Hokkai-Gakuen University)

  • Yutaka Nakamura

    (University of Tsukuba)

  • Kazuhisa Takemura

    (Waseda University)

Abstract

This paper generalizes the simple regret model by Bell in Operations Research 30(5), 961-981 and Loomes and Sugden in The Economic Journal 92(368), 805-824 to cope with the situation in which decision outcomes are multi-attributed. We propose a model that combines the simple regret model for ex ante preferences and the additive difference representation for ex post preferences. We first present a necessary and sufficient axiomatization of our model in Savage’s framework. The proposed model is composed of three types of functions. One is a value function for each attribute. The others are attribute-dependent and holistic regret-rejoicing functions that capture trade-offs among value-differences of chosen and forgone outcomes for each attribute and among all attributes, respectively. We then provide constructive procedures for those functions and methods for consistency checks of the procedures. We, finally, conduct an experiment to estimate those functions in the two attributes case by means of the constructive procedure and give an application of the model and our findings.

Suggested Citation

  • Yoichiro Fujii & Hajime Murakami & Yutaka Nakamura & Kazuhisa Takemura, 2023. "Multiattribute regret: theory and experimental study," Theory and Decision, Springer, vol. 95(4), pages 623-662, November.
    • Handle: RePEc:kap:theord:v:95:y:2023:i:4:d:10.1007_s11238-023-09936-w
    DOI: 10.1007/s11238-023-09936-w
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    References listed on IDEAS

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