IDEAS home Printed from https://ideas.repec.org/a/taf/nzecpp/v34y2000i1p89-110.html
   My bibliography  Save this article

A simple graphical proof of arrow's impossibility theorem

Author

Listed:
  • John Fountain

Abstract

This paper uses a two-dimensional graphical technique to provide a constructive proof of Arrow's impossibility theorem. Students (and instructors) of intermediate microeconomics should have no problem in following the graphical proof developed here. The meaning of the condition of independence of irrelevant alternatives and its function in Arrow's theorem become transparent in this proof.

Suggested Citation

  • John Fountain, 2000. "A simple graphical proof of arrow's impossibility theorem," New Zealand Economic Papers, Taylor & Francis Journals, vol. 34(1), pages 89-110.
    • Handle: RePEc:taf:nzecpp:v:34:y:2000:i:1:p:89-110
    DOI: 10.1080/00779950009544317
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00779950009544317
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00779950009544317?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
    ---><---

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

    References listed on IDEAS

    as
    1. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    2. John Fountain, 1984. "A Production Theory Perspective on Collective Choice Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(4), pages 673-691.
    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. Paul Hansen, 2002. "Another Graphical Proof of Arrow's Impossibility Theorem," The Journal of Economic Education, Taylor & Francis Journals, vol. 33(3), pages 217-235, September.

    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. Mina Baliamoune-Lutz, 2004. "On the Measurement of Human Well-being: Fuzzy Set Theory and Sen's Capability Approach," WIDER Working Paper Series RP2004-16, World Institute for Development Economic Research (UNU-WIDER).
    2. Irina Georgescu, 2007. "Arrow’s Axiom and Full Rationality for Fuzzy Choice Functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(2), pages 303-319, February.
    3. David Kelsey & Frank Milne, 2006. "Externalities, monopoly and the objective function of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 565-589, November.
    4. Gerasimou, Georgios, 2010. "Rational indecisive choice," MPRA Paper 25481, University Library of Munich, Germany.
    5. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    6. Satya R. Chakravarty & Nachiketa Chattopadhyay & Jacques Silber & Guanghua Wan, 2016. "Measuring the impact of vulnerability on the number of poor: a new methodology with empirical illustrations," Chapters, in: Jacques Silber & Guanghua Wan (ed.), The Asian ‘Poverty Miracle’, chapter 4, pages 84-117, Edward Elgar Publishing.
    7. Llamazares, Bonifacio & Pérez-Asurmendi, Patrizia, 2013. "Triple-acyclicity in majorities based on difference in support," MPRA Paper 52218, University Library of Munich, Germany.
    8. Neeraj Arora & Ty Henderson, 2007. "Embedded Premium Promotion: Why It Works and How to Make It More Effective," Marketing Science, INFORMS, vol. 26(4), pages 514-531, 07-08.
    9. Christopher Tyson, 2015. "Satisficing behavior with a secondary criterion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 639-661, March.
    10. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 127-141, January.
    11. Georgios, Gerasimou, 2013. "A Behavioural Model of Choice in the Presence of Decision Conflict," SIRE Discussion Papers 2013-25, Scottish Institute for Research in Economics (SIRE).
    12. Allan M Feldman & Roberto Serrano, 2007. "Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World," Working Papers 2007-12, Brown University, Department of Economics.
    13. Sussman Fran & Weaver Christopher P. & Grambsch Anne, 2014. "Challenges in applying the paradigm of welfare economics to climate change," Journal of Benefit-Cost Analysis, De Gruyter, vol. 5(3), pages 347-376, December.
    14. Fan Liu & Ning Ma, 2019. "Multicriteria ABC Inventory Classification Using the Social Choice Theory," Sustainability, MDPI, vol. 12(1), pages 1-19, December.
    15. Brandl, Florian & Peters, Dominik, 2022. "Approval voting under dichotomous preferences: A catalogue of characterizations," Journal of Economic Theory, Elsevier, vol. 205(C).
    16. Antoinette Baujard & Muriel Gilardone, 2013. "Individual judgments and social choice in Sen's idea of justice and democracy," Post-Print halshs-00950320, HAL.
    17. Nicolas Houy, 2008. "Prudent choices and rationality," Working Papers hal-00360518, HAL.
    18. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 43-56, January.
    19. Parés, Claudio & Dresdner, Jorge & Salgado, Hugo, 2015. "Who should set the total allowable catch? Social preferences and legitimacy in fisheries management institutions," Marine Policy, Elsevier, vol. 54(C), pages 36-43.
    20. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.

    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:taf:nzecpp:v:34:y:2000:i:1:p:89-110. 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: the person in charge (email available below). General contact details of provider: http://www.tandfonline.com/RNZP20 .

    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.