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Indirect Elicitation of Non-Linear Multiattribute Utility Functions. A Dual Procedure Combined with DEA

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  • Francisco J. André

    ()
    (Department of Economics, Universidad Pablo de Olavide)

Abstract

In this paper, we propose an indirect method to elicit nonlinear multiattribute utility functions which is based on duality results. The idea is to obtain a utility function which is compatible with the observed behaviour of decision makers. The paper builds on a previous work by André and Riesgo (A non-interactive method to elicit non-linear multiattribute utility functions. Theory and Application to Agricultural Economics. European Journal of Operational Research. In press) but it eliminates an important shortcoming, the necessity to estimate the efficient set, by using a DEA-like approach.

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File URL: http://www.upo.es/serv/bib/wps/econ0702.pdf
File Function: First version, 2007
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Bibliographic Info

Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 07.02.

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Length: 16 pages
Date of creation: Feb 2007
Date of revision:
Handle: RePEc:pab:wpaper:07.02

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Keywords: MultiCriteria Decision Making; Multi-Attribute Utility Function; Duality; DEA.;

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References

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  1. Sumpsi, JoseMaria & Amador, Francisco & Romero, Carlos, 1997. "On farmers' objectives: A multi-criteria approach," European Journal of Operational Research, Elsevier, vol. 96(1), pages 64-71, January.
  2. Johri, Pravin K., 1993. "Implied constraints and a unified theory of duality in linear and nonlinear programming," European Journal of Operational Research, Elsevier, vol. 71(1), pages 61-69, November.
  3. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
  4. Jiménez, Antonio & Mateos, Alfonso & Ríos-Insua, Sixto, 2009. "Missing consequences in multiattribute utility theory," Omega, Elsevier, vol. 37(2), pages 395-410, April.
  5. Canbolat, Yavuz Burak & Chelst, Kenneth & Garg, Nitin, 2007. "Combining decision tree and MAUT for selecting a country for a global manufacturing facility," Omega, Elsevier, vol. 35(3), pages 312-325, June.
  6. Johri, Pravin K., 1994. "Derivation of duality in mathematical programming and optimization theory," European Journal of Operational Research, Elsevier, vol. 73(3), pages 547-554, March.
  7. Brugha, Cathal M., 2004. "Phased multicriteria preference finding," European Journal of Operational Research, Elsevier, vol. 158(2), pages 308-316, October.
  8. Tiwari, D. N. & Loof, R. & Paudyal, G. N., 1999. "Environmental-economic decision-making in lowland irrigated agriculture using multi-criteria analysis techniques," Agricultural Systems, Elsevier, vol. 60(2), pages 99-112, May.
  9. Gomez-Limon, J. A. & Berbel, J., 2000. "Multicriteria analysis of derived water demand functions: a Spanish case study," Agricultural Systems, Elsevier, vol. 63(1), pages 49-72, January.
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Cited by:
  1. Hatami-Marbini, Adel & Tavana, Madjid, 2011. "An extension of the Electre I method for group decision-making under a fuzzy environment," Omega, Elsevier, vol. 39(4), pages 373-386, August.
  2. André, Francisco J. & Herrero, Inés & Riesgo, Laura, 2010. "A modified DEA model to estimate the importance of objectives with an application to agricultural economics," Omega, Elsevier, vol. 38(5), pages 371-382, October.
  3. Hinojosa, M.A. & Mármol, A.M., 2011. "Axial solutions for multiple objective linear problems. An application to target setting in DEA models with preferences," Omega, Elsevier, vol. 39(2), pages 159-167, April.
  4. Odeck, James, 2009. "Statistical precision of DEA and Malmquist indices: A bootstrap application to Norwegian grain producers," Omega, Elsevier, vol. 37(5), pages 1007-1017, October.

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