IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v35y1988i6p567-574.html
   My bibliography  Save this article

Multicriteria efficiency with arbitrary finite sets and cyclic preferences

Author

Listed:
  • Peter C. Fishburn

Abstract

It is shown that when X is an arbitrary finite subset of an n‐factor product set and preference relations on each factor or criterion are assumed only to be asymmetric, efficient (undominated) points always exist in the set P of probability distributions on X when the preference relations are extended to probability distributions on the factors according to SSB utility theory. Thus, arbitrary finite structures and potentially cyclic preferences do not present a problem for the theory of efficiency under the convexification‐extension procedure.

Suggested Citation

  • Peter C. Fishburn, 1988. "Multicriteria efficiency with arbitrary finite sets and cyclic preferences," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 567-574, December.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:6:p:567-574
    DOI: 10.1002/1520-6750(198812)35:63.0.CO;2-D
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198812)35:63.0.CO;2-D
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198812)35:63.0.CO;2-D?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. Fishburn, P. C., 1984. "Dominance in SSB utility theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 130-148, October.
    2. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    3. Fishburn, P.C., 1984. "SSB Utility theory: an economic perspective," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 63-94, August.
    4. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    5. Slovic, Paul & Lichtenstein, Sarah, 1983. "Preference Reversals: A Broader Perspective," American Economic Review, American Economic Association, vol. 73(4), pages 596-605, September.
    6. P. C. Fishburn, 1984. "Probabilistic Social Choice Based on Simple Voting Comparisons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 683-692.
    Full references (including those not matched with items on IDEAS)

    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. Aziz, Haris & Brandl, Florian & Brandt, Felix, 2015. "Universal Pareto dominance and welfare for plausible utility functions," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 123-133.
    2. Florian Brandl & Felix Brandt & Christian Stricker, 2022. "An analytical and experimental comparison of maximal lottery schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 5-38, January.
    3. Florian Brandl & Felix Brandt, 2020. "Arrovian Aggregation of Convex Preferences," Econometrica, Econometric Society, vol. 88(2), pages 799-844, March.
    4. repec:cup:judgdm:v:13:y:2018:i:3:p:217-236 is not listed on IDEAS
    5. Kobi Kriesler & Shmuel Nitzan, 2009. "Framing-based Choice: A Model of Decision-making Under Risk," Korean Economic Review, Korean Economic Association, vol. 25, pages 65-89.
    6. Brandl, Florian & Brandt, Felix & Hofbauer, Johannes, 2019. "Welfare maximization entices participation," Games and Economic Behavior, Elsevier, vol. 114(C), pages 308-314.
    7. Bouchra Benyelles & Eser Arisoy, 2018. "Implication of Regret on Mutual Funds Managers Risk-Shifting Decision," Post-Print hal-02283886, HAL.
    8. Han Bleichrodt & Peter P. Wakker, 2015. "Regret Theory: A Bold Alternative to the Alternatives," Economic Journal, Royal Economic Society, vol. 0(583), pages 493-532, March.
    9. David J. Butler & Ganna Pogrebna, 2018. "Predictably intransitive preferences," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(3), pages 217-236, May.
    10. Robert Lapson, 1992. "Expected Value," Discussion Papers 1037, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Aziz, Haris & Brandl, Florian & Brandt, Felix & Brill, Markus, 2018. "On the tradeoff between efficiency and strategyproofness," Games and Economic Behavior, Elsevier, vol. 110(C), pages 1-18.
    12. Herweg, Fabian & Müller, Daniel, 2021. "A comparison of regret theory and salience theory for decisions under risk," Journal of Economic Theory, Elsevier, vol. 193(C).
    13. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers vie0209, University of Vienna, Department of Economics.
    14. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers 0209, University of Vienna, Department of Economics.
    15. Bouchra Benyelles & Eser Arisoy, 2019. "Implication of Regret on Mutual Fund Managers' Risk-Shifting Decision," Post-Print hal-02283899, HAL.
    16. Bouchra Benyelles & Eser Arisoy, 2019. "Implication of Regret on Mutual Fund Managers' Risk-Shifting Decision," Post-Print hal-02283993, HAL.
    17. Pištěk, Miroslav, 2018. "Continuous SSB representation of preferences," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 59-65.
    18. Kroll, Eike Benjamin & Vogt, Bodo, 2012. "The relevance of irrelevant alternatives," Economics Letters, Elsevier, vol. 115(3), pages 435-437.
    19. Cochran, Mark J., 1986. "Stochastic Dominance: The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271995, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    20. Alcantud, J.C.R., 2008. "Mixed choice structures, with applications to binary and non-binary optimization," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 242-250, February.
    21. Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.

    More about this item

    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:wly:navres:v:35:y:1988:i:6:p:567-574. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.