IDEAS home Printed from https://ideas.repec.org/a/inm/ordeca/v9y2012i3p231-237.html
   My bibliography  Save this article

A Note on a Group Preference Axiomatization with Cardinal Utility

Author

Listed:
  • Luis C. Dias

    (Faculty of Economics, University of Coimbra, 3004-512 Coimbra, Portugal; and INESC Coimbra, 3000-033 Coimbra, Portugal)

  • Paula Sarabando

    (Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal; and INESC Coimbra, 3000-033 Coimbra, Portugal)

Abstract

Kenneth Arrow's work on social welfare proposed a set of conditions that a function to aggregate ordinal preferences of the members of a group should satisfy, proving that it was not possible to satisfy all these assumptions simultaneously. Later, Ralph Keeney adapted these conditions and proposed a cardinal utility axiomatization for the problem of aggregating the utility functions. This note discusses in particular the condition of nondictatorship. It proposes stronger formulations for this condition to limit the maximum influence that an individual can have, and it presents the corresponding characterization of compliant group cardinal utility functions. An extension to address coalitions of individuals acting strategically is also discussed.

Suggested Citation

  • Luis C. Dias & Paula Sarabando, 2012. "A Note on a Group Preference Axiomatization with Cardinal Utility," Decision Analysis, INFORMS, vol. 9(3), pages 231-237, September.
    • Handle: RePEc:inm:ordeca:v:9:y:2012:i:3:p:231-237
    DOI: 10.1287/deca.1120.0244
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/deca.1120.0244
    Download Restriction: no
    File URL: https://libkey.io/10.1287/deca.1120.0244?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. James S. Dyer & Rakesh K. Sarin, 1979. "Group Preference Aggregation Rules Based on Strength of Preference," Management Science, INFORMS, vol. 25(9), pages 822-832, September.
    2. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    3. Jason R. W. Merrick & Gregory S. Parnell & Jamison Barnett & Margot Garcia, 2005. "A Multiple-Objective Decision Analysis of Stakeholder Values to Identify Watershed Improvement Needs," Decision Analysis, INFORMS, vol. 2(1), pages 44-57, March.
    4. Bose, Utpal & Davey, Anne M. & Olson, David L., 1997. "Multi-attribute utility methods in group decision making: Past applications and potential for inclusion in GDSS," Omega, Elsevier, vol. 25(6), pages 691-706, December.
    5. Ralph L. Keeney, 1976. "A Group Preference Axiomatization with Cardinal Utility," Management Science, INFORMS, vol. 23(2), pages 140-145, October.
    6. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    7. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
    8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    9. Ralph L. Keeney & Craig W. Kirkwood, 1975. "Group Decision Making Using Cardinal Social Welfare Functions," Management Science, INFORMS, vol. 22(4), pages 430-437, December.
    10. Lawrence Phillips & Carlos Bana e Costa, 2007. "Transparent prioritisation, budgeting and resource allocation with multi-criteria decision analysis and decision conferencing," Annals of Operations Research, Springer, vol. 154(1), pages 51-68, October.
    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. Wolfgang Ossadnik & Stefanie Schinke & Ralf H. Kaspar, 2016. "Group Aggregation Techniques for Analytic Hierarchy Process and Analytic Network Process: A Comparative Analysis," Group Decision and Negotiation, Springer, vol. 25(2), pages 421-457, March.
    2. Yucheng Dong & Yao Li & Ying He & Xia Chen, 2021. "Preference–Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation," Decision Analysis, INFORMS, vol. 18(4), pages 273-295, December.
    3. Stanković Jelena & Popović Žarko & Kostevski Sanja, 2016. "Determination of Expert Group Preferences in the Multi-Criteria Model for the Analysis of Local Economic Environment," Economic Themes, Sciendo, vol. 54(2), pages 261-280, June.
    4. L. Robin Keller & Kelly M. Kophazi, 2012. "From the Editors ---Copulas, Group Preferences, Multilevel Defenders, Sharing Rewards, and Communicating Analytics," Decision Analysis, INFORMS, vol. 9(3), pages 213-218, September.
    5. Tom Pape, 2020. "Value of agreement in decision analysis: Concept, measures and application," Papers 2012.13816, arXiv.org.
    6. Rakesh K. Sarin & L. Robin Keller, 2013. "From the Editors ---Group Decisions, Preference Elicitation, Experienced Utility, Survival Probabilities, and Portfolio Value of Information," Decision Analysis, INFORMS, vol. 10(2), pages 99-102, June.
    7. Pape, Tom, 2017. "Value of agreement in decision analysis: concept, measures and application," LSE Research Online Documents on Economics 68682, London School of Economics and Political Science, LSE Library.

    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. Ralph L. Keeney, 2013. "Foundations for Group Decision Analysis," Decision Analysis, INFORMS, vol. 10(2), pages 103-120, June.
    2. James E. Smith & Detlof von Winterfeldt, 2004. "Anniversary Article: Decision Analysis in Management Science," Management Science, INFORMS, vol. 50(5), pages 561-574, May.
    3. Kaynar, Nur & Karsu, Özlem, 2018. "Equitable decision making approaches over allocations of multiple benefits to multiple entities," Omega, Elsevier, vol. 81(C), pages 85-98.
    4. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
    5. 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.
    6. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    7. Kim, Semin, 2017. "Ordinal versus cardinal voting rules: A mechanism design approach," Games and Economic Behavior, Elsevier, vol. 104(C), pages 350-371.
    8. Dillon, John L. & Perry, Chad, 1977. "Multiattribute Utility Theory, Multiple Objectives And Uncertainty In Ex Ante Project Evaluation," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 45(01-2), pages 1-25, March.
    9. Hayashida, Tomohiro & Nishizaki, Ichiro & Ueda, Yoshifumi, 2010. "Multiattribute utility analysis for policy selection and financing for the preservation of the forest," European Journal of Operational Research, Elsevier, vol. 200(3), pages 833-843, February.
    10. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    11. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    12. Xia, Meimei & Chen, Jian, 2015. "Multi-criteria group decision making based on bilateral agreements," European Journal of Operational Research, Elsevier, vol. 240(3), pages 756-764.
    13. Anocha Aribarg & Neeraj Arora & Moon Young Kang, 2010. "Predicting Joint Choice Using Individual Data," Marketing Science, INFORMS, vol. 29(1), pages 139-157, 01-02.
    14. Alessandro Luè & Alberto Colorni, 2015. "Conflict Analysis for Environmental Impact Assessment: A Case Study of a Transportation System in a Tourist Area," Group Decision and Negotiation, Springer, vol. 24(4), pages 613-632, July.
    15. Semin Kim, 2016. "Ordinal Versus Cardinal Voting Rules: A Mechanism Design Approach," Working papers 2016rwp-94, Yonsei University, Yonsei Economics Research Institute.
    16. Jinbaek Kim, 2008. "A model and case for supporting participatory public decision making in e-democracy," Group Decision and Negotiation, Springer, vol. 17(3), pages 179-193, May.
    17. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
    18. Kim, Soung Hie & Choi, Sang Hyun & Kim, Jae Kyeong, 1999. "An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach," European Journal of Operational Research, Elsevier, vol. 118(1), pages 139-152, October.
    19. Laffont, Jean-Jacques, 1996. "William Vickrey: A Pioneer in the Economics of Incentives," Nobel Prize in Economics documents 1996-2, Nobel Prize Committee.
    20. Fujun Hou, 2016. "The Prametric-Based GDM Procedure Under Fuzzy Environment," Group Decision and Negotiation, Springer, vol. 25(5), pages 1071-1084, September.

    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:inm:ordeca:v:9:y:2012:i:3:p:231-237. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.