Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v37y2009i4p883-895.html
   My bibliography  Save this article

Indirect elicitation of non-linear multi-attribute utility functions. A dual procedure combined with DEA

Author

Listed:
  • André, Francisco J.
Abstract
This paper proposes a non-interactive method to elicit non-linear multi-attribute utility functions which is based on duality results. The idea is to obtain a utility function which is compatible with the observed behavior of decision makers. The paper builds on a previous work by André and Riesgo [A non-interactive method to elicit non-linear multi-attribute utility functions. Theory and application to agricultural economics. European Journal of Operational Research 2008;181:793-807] but it eliminates an important shortcoming: the necessity to have an analytical expression of the efficient set or an estimation of it. The alternative approach presented in this paper consists in using a method of projection onto the true efficient set, based on data envelopment analysis (DEA). In a simulation exercise we check the ability of the method to recover true preference parameters in the presence of errors made by decision makers.

Suggested Citation

  • André, Francisco J., 2009. "Indirect elicitation of non-linear multi-attribute utility functions. A dual procedure combined with DEA," Omega, Elsevier, vol. 37(4), pages 883-895, August.
    • Handle: RePEc:eee:jomega:v:37:y:2009:i:4:p:883-895
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(08)00072-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Jiménez, Antonio & Mateos, Alfonso & Ríos-Insua, Sixto, 2009. "Missing consequences in multiattribute utility theory," Omega, Elsevier, vol. 37(2), pages 395-410, April.
    3. J González-Pachón & C Romero, 2006. "An analytical framework for aggregating multiattribute utility functions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1241-1247, October.
    4. Ralph L. Keeney, 1974. "Multiplicative Utility Functions," Operations Research, INFORMS, vol. 22(1), pages 22-34, February.
    5. P Linares & C Romero, 2000. "A multiple criteria decision making approach for electricity planning in Spain: economic versus environmental objectives," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 736-743, June.
    6. 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.
    7. 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.
    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. 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.
    10. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    11. Brugha, Cathal M., 2004. "Phased multicriteria preference finding," European Journal of Operational Research, Elsevier, vol. 158(2), pages 308-316, October.
    12. 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.
    13. Amador, Francisco & Sumpsi, Jose Maria & Romero, Carlos, 1998. "A Non-interactive Methodology to Assess Farmers' Utility Functions: An Application to Large Farms in Andalusia, Spain," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 25(1), pages 92-109.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pérez-Blanco, C. D & Standardi, G., 2019. "Farm waters run deep: a coupled positive multi-attribute utility programming and computable general equilibrium model to assess the economy-wide impacts of water buyback," Agricultural Water Management, Elsevier, vol. 213(C), pages 336-351.
    2. Gómez-Limón, José A. & Gutiérrez-Martín, Carlos & Riesgo, Laura, 2016. "Modeling at farm level: Positive Multi-Attribute Utility Programming," Omega, Elsevier, vol. 65(C), pages 17-27.
    3. Kanellopoulos, A. & Gerdessen, J.C. & Claassen, G.D.H., 2015. "Compromise programming: Non-interactive calibration of utility-based metrics," European Journal of Operational Research, Elsevier, vol. 244(2), pages 519-524.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Kourtesi, Sofia & De Witte, Kristof & Polymeros, Apostolos, 2016. "Technical Efficiency in the Agricultural Sector - Evidence from a Conditional Quantile-Based Approach," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 17(2), June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andre, Francisco J. & Riesgo, Laura, 2007. "A non-interactive elicitation method for non-linear multiattribute utility functions: Theory and application to agricultural economics," European Journal of Operational Research, Elsevier, vol. 181(2), pages 793-807, September.
    2. Francisco J. André & Laura Riesgo, 2006. "A Duality Procedure to Elicit Nonlinear Multiattribute Utility Functions," Working Papers 06.02, Universidad Pablo de Olavide, Department of Economics.
    3. Basil Manos & Thomas Bournaris & Mohd Kamruzzaman & Moss Begum & Ara Anjuman & Jason Papathanasiou, 2006. "Regional Impact of Irrigation Water Pricing in Greece under Alternative Scenarios of European Policy: A Multicriteria Analysis," Regional Studies, Taylor & Francis Journals, vol. 40(9), pages 1055-1068.
    4. Gomez-Limon, Jose Antonio & Riesgo, Laura & Arriaza Balmón, Manuel, 2003. "Multi-Criteria Analysis Of Factors Use Level: The Case Of Water For Irrigation," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25836, International Association of Agricultural Economists.
    5. Gomez-Limon, Jose A. & Riesgo, Laura, 2004. "Irrigation water pricing: differential impacts on irrigated farms," Agricultural Economics, Blackwell, vol. 31(1), pages 47-66, July.
    6. José A. Gómez-Limón & Yolanda Martínez Martínez, 2004. "Multicriteria Modelling of Irrigation Water Market at Basin Level," Economic Working Papers at Centro de Estudios Andaluces E2004/26, Centro de Estudios Andaluces.
    7. Gomez-Limon, Jose A. & Arriaza, Manuel & Riesgo, Laura, 2003. "An MCDM analysis of agricultural risk aversion," European Journal of Operational Research, Elsevier, vol. 151(3), pages 569-585, December.
    8. Gomez-Limon, Jose Antonio & Riesgo, Laura & Arriaza Balmón, Manuel, 2002. "Agricultural Risk Aversion Revisited: A Multicriteria Decision-Making Approach," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24827, European Association of Agricultural Economists.
    9. Montilla-López, Nazaret M. & Gómez-Limón, José A. & Gutiérrez-Martín, Carlos, 2018. "Sharing a river: Potential performance of a water bank for reallocating irrigation water," Agricultural Water Management, Elsevier, vol. 200(C), pages 47-59.
    10. José A. Gómez‐Limón & Manuel Arriaza & Julio Berbel, 2002. "Conflicting Implementation of Agricultural and Water Policies in Irrigated Areas in the EU," Journal of Agricultural Economics, Wiley Blackwell, vol. 53(2), pages 259-281, July.
    11. Arriaza Balmón, Manuel & Gomez-Limon, Jose A. & Upton, Martin, 1997. "Local water markets for irrigation in southern Spain: A multicriteria approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 46(1), pages 1-23.
    12. Francisco J. André & Inés Herrero & Laura Riesgo, 2007. "Using a modified DEA model to estimate the importance of objectives. An application to agricultural economics," Working Papers 07.09, Universidad Pablo de Olavide, Department of Economics.
    13. D. Latinopoulos, 2008. "Estimating the Potential Impacts of Irrigation Water Pricing Using Multicriteria Decision Making Modelling. An Application to Northern Greece," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(12), pages 1761-1782, December.
    14. Gomez-Limon, Jose A. & Martinez, Yolanda, 2006. "Multi-criteria modelling of irrigation water market at basin level: A Spanish case study," European Journal of Operational Research, Elsevier, vol. 173(1), pages 313-336, August.
    15. Chatzinikolaou, Parthena & Manos, Basil D. & Kiomourtzi, Fedra, 2014. "Assessment of Sustainable Production in rural areas," 2014 Third Congress, June 25-27, 2014, Alghero, Italy 173105, Italian Association of Agricultural and Applied Economics (AIEAA).
    16. McKenna, R. & Bertsch, V. & Mainzer, K. & Fichtner, W., 2018. "Combining local preferences with multi-criteria decision analysis and linear optimization to develop feasible energy concepts in small communities," European Journal of Operational Research, Elsevier, vol. 268(3), pages 1092-1110.
    17. Gómez-Limón, José A. & Gutiérrez-Martín, Carlos & Riesgo, Laura, 2016. "Modeling at farm level: Positive Multi-Attribute Utility Programming," Omega, Elsevier, vol. 65(C), pages 17-27.
    18. Riesgo, Laura & Gómez-Limón, José A., 2005. "Multi-Criteria Policy Scenarios Analysis for Public Management of Irrigated Agriculture," 89th Seminar, February 2-5, 2005, Parma, Italy 239276, European Association of Agricultural Economists.
    19. 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.
    20. Mestre-Sanchís, Fernando & Feijóo-Bello, María Luisa, 2009. "Climate change and its marginalizing effect on agriculture," Ecological Economics, Elsevier, vol. 68(3), pages 896-904, January.

    More about this item

    Keywords

    Multi-criteria Decision making Data envelopment analysis (DEA);

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:37:y:2009:i:4:p:883-895. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.