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Empirical properties of group preference aggregation methods employed in AHP. Theory and evidence

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Author Info

  • Michele Bernasconi

    ()
    (Department of Economics, University Of Venice CĂ  Foscari)

  • Christine Choirat

    (Department of Quantitative Methods, School of Economics and Business Management, Universidad de Navarra.)

  • Raffaello Seri

    (Dipartimento di Economia, UniversitĂ  dell'Insubria.)

Abstract

We study various methods of aggregating individual judgments and individual priorities in group decision making with the AHP. The focus is on the empirical properties of the various methods, mainly on the extent to which the various aggregation methods represent an accurate approximation of the priority vector of interest. We identify five main classes of aggregation procedures which provide identical or very similar empirical expressions for the vectors of interest. We also propose a method to decompose in the AHP response matrix distortions due to random errors and perturbations caused by cognitive bias predicted by the mathematical psychology literature. We test the decomposition with experimental data and find that perturbations in group decision making caused by cognitive distortions are more important than those caused by random errors. We propose methods to correct systematic distortions.

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Bibliographic Info

Paper provided by Department of Economics, University of Venice "Ca' Foscari" in its series Working Papers with number 2013:10.

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Length: 36
Date of creation: 2013
Date of revision:
Handle: RePEc:ven:wpaper:2013:10

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Keywords: group decisions; matrix differentials; separable representations; cognitive distortions.;

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References

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  1. Aull-Hyde, Rhonda & Erdogan, Sevgi & Duke, Joshua M., 2006. "An experiment on the consistency of aggregated comparison matrices in AHP," European Journal of Operational Research, Elsevier, Elsevier, vol. 171(1), pages 290-295, May.
  2. Michele Bernasconi & Christine Choirat & Raffaello Seri, 2009. "A re-examination of the algebraic properties of the AHP as a ratio-scaling technique," Working Papers, Department of Economics, University of Venice "Ca' Foscari" 2009_23, Department of Economics, University of Venice "Ca' Foscari".
  3. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, Springer, vol. 5(4), pages 297-323, October.
  4. Michele Bernasconi & Christine Choirat & Raffaello Seri, 2009. "The Analytic Hierarchy Process and the Theory of Measurement," Working Papers, Department of Economics, University of Venice "Ca' Foscari" 2009_24, Department of Economics, University of Venice "Ca' Foscari".
  5. Escobar, M. T. & Aguaron, J. & Moreno-Jimenez, J. M., 2004. "A note on AHP group consistency for the row geometric mean priorization procedure," European Journal of Operational Research, Elsevier, Elsevier, vol. 153(2), pages 318-322, March.
  6. Bolloju, N., 2001. "Aggregation of analytic hierarchy process models based on similarities in decision makers' preferences," European Journal of Operational Research, Elsevier, Elsevier, vol. 128(3), pages 499-508, February.
  7. Aguaron, Juan & Moreno-Jimenez, Jose Maria, 2003. "The geometric consistency index: Approximated thresholds," European Journal of Operational Research, Elsevier, Elsevier, vol. 147(1), pages 137-145, May.
  8. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, INFORMS, vol. 32(7), pages 841-855, July.
  9. Xu, Z., 2000. "On consistency of the weighted geometric mean complex judgement matrix in AHP," European Journal of Operational Research, Elsevier, Elsevier, vol. 126(3), pages 683-687, November.
  10. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, Elsevier, vol. 108(1), pages 165-169, July.
  11. Van Den Honert, R. C. & Lootsma, F. A., 1997. "Group preference aggregation in the multiplicative AHP The model of the group decision process and Pareto optimality," European Journal of Operational Research, Elsevier, Elsevier, vol. 96(2), pages 363-370, January.
  12. Lin, Robert & Lin, Jennifer Shu-Jen & Chang, Jason & Tang, Didos & Chao, Henry & Julian, Peter C, 2008. "Note on group consistency in analytic hierarchy process," European Journal of Operational Research, Elsevier, Elsevier, vol. 190(3), pages 672-678, November.
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Cited by:
  1. de Luca, Stefano, 2014. "Public engagement in strategic transportation planning: An analytic hierarchy process based approach," Transport Policy, Elsevier, vol. 33(C), pages 110-124.

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