IDEAS home Printed from https://ideas.repec.org/a/sae/jothpo/v19y2007i4p363-390.html

Justice Preferences and the Arrow Problem

Author

Listed:
  • Norman Frohlich

    (I. H. Asper School of Business, University of Manitoba, Winnipeg, MB/R3T 5V4, Canada, frohlic@ms.umanitoba.ca)

  • Joe A. Oppenheimer

    (Department of Government and Politics, University of Maryland, College Park, USA, joppenheimer@gvpt.umd.edu)

Abstract

Arrow showed that there is no general way to aggregate non-interpersonally comparable preferences or welfare into either a sensible social choice or a social welfare measure. With majority rule the problem manifests itself as voting cycles. The standard response to this problem has been developing `spatial models' built on restricted preferences (or welfare). We develop an alternative family of solutions. By assuming a culturally accepted conception of justice within a utility function, we establish the possibility of sensible aggregate choice implementable via majority rule. Various assumptions regarding the form the utility function are discussed. Conditions for a Condorcet winner in a problem of pure redistribution are derived for a number of models. Some of the implications of this perspective for the theory of democracy are considered. Developing a normatively interesting social welfare function may require introducing normative concerns into the preferences of the individuals rather than just into the properties of the aggregation system.

Suggested Citation

  • Norman Frohlich & Joe A. Oppenheimer, 2007. "Justice Preferences and the Arrow Problem," Journal of Theoretical Politics, , vol. 19(4), pages 363-390, October.
    • Handle: RePEc:sae:jothpo:v:19:y:2007:i:4:p:363-390
    DOI: 10.1177/0951629807080774
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0951629807080774
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0951629807080774?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. Albert Breton & Gianluigi Galeotti & Pierre Salmon & Ronald Wintrobe, 2003. "Rational Foundations of Democratic Politics," Post-Print hal-00445584, HAL.
    2. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    3. Gary Charness & Matthew Rabin, 1999. "Social preferences: Some simple tests and a new model," Economics Working Papers 441, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 2000.
    4. Norman Frohlich & Joe Oppenheimer & Anja Kurki, 2004. "Modeling Other-Regarding Preferences and an Experimental Test," Public Choice, Springer, vol. 119(1_2), pages 91-117, April.
    5. Lester C. Thurow, 1971. "The Income Distribution as a Pure Public Good," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(2), pages 327-336.
    6. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    7. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    8. Olson, Mancur, 1993. "Dictatorship, Democracy, and Development," American Political Science Review, Cambridge University Press, vol. 87(3), pages 567-576, September.
    9. Bolton Gary E. & Zwick Rami, 1995. "Anonymity versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 10(1), pages 95-121, July.
    10. Frohlich, Norman & Oppenheimer, Joe, 2003. "Optimal Policies and Socially Oriented Behavior: Some Problematic Effects of an Incentive Compatible Device," Public Choice, Springer, vol. 117(3-4), pages 273-293, December.
    11. James Konow, 2000. "Fair Shares: Accountability and Cognitive Dissonance in Allocation Decisions," American Economic Review, American Economic Association, vol. 90(4), pages 1072-1091, September.
    12. Dryzek, John S. & List, Christian, 2003. "Social Choice Theory and Deliberative Democracy: A Reconciliation," British Journal of Political Science, Cambridge University Press, vol. 33(1), pages 1-28, January.
    13. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, Enero-Abr.
    14. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    15. Konow, James, 1996. "A positive theory of economic fairness," Journal of Economic Behavior & Organization, Elsevier, vol. 31(1), pages 13-35, October.
    16. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    17. Arrow, Kenneth J, 1977. "Extended Sympathy and the Possibility of Social Choice," American Economic Review, American Economic Association, vol. 67(1), pages 219-225, February.
    18. Ostrom, Elinor & Walker, James & Gardner, Roy, 1992. "Covenants with and without a Sword: Self-Governance Is Possible," American Political Science Review, Cambridge University Press, vol. 86(2), pages 404-417, June.
    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. Norman Frohlich & Joe Oppenheimer, 2006. "Skating on Thin Ice," Journal of Theoretical Politics, , vol. 18(3), pages 235-266, July.
    2. Joe Oppenheimer & Stephen Wendel & Norman Frohlich, 2011. "Paradox lost: Explaining and modeling seemingly random individual behavior in social dilemmas," Journal of Theoretical Politics, , vol. 23(2), pages 165-187, April.
    3. Ubeda, Paloma, 2014. "The consistency of fairness rules: An experimental study," Journal of Economic Psychology, Elsevier, vol. 41(C), pages 88-100.
    4. Gill, David & Stone, Rebecca, 2015. "Desert and inequity aversion in teams," Journal of Public Economics, Elsevier, vol. 123(C), pages 42-54.
    5. Gill, David & Stone, Rebecca, 2010. "Fairness and desert in tournaments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 346-364, July.
    6. Gary Bolton & Axel Ockenfels, 2005. "A stress test of fairness measures in models of social utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 957-982, June.
    7. Gill, David & Stone, Rebecca, 2009. "Fairness and desert in tournaments," Discussion Paper Series In Economics And Econometrics 903, Economics Division, School of Social Sciences, University of Southampton.
    8. Gill, David & Stone, Rebecca, 2009. "Fairness and desert in tournaments," Discussion Paper Series In Economics And Econometrics 0903, Economics Division, School of Social Sciences, University of Southampton.
    9. Bergh, Andreas, 2008. "A critical note on the theory of inequity aversion," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(5), pages 1789-1796, October.
    10. Astri Drange Hole, 2011. "Communication and fair distribution," Rationality and Society, , vol. 23(2), pages 234-264, May.
    11. Kritikos, Alexander & Bolle, Friedel, 2004. "Punishment as a public good. When should monopolists care about a consumer boycott?," Journal of Economic Psychology, Elsevier, vol. 25(3), pages 355-372, June.
    12. Emin Karagözoğlu & Elif Tosun, 2022. "Endogenous Game Choice and Giving Behavior in Distribution Games," Games, MDPI, vol. 13(6), pages 1-32, November.
    13. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    14. Ernst Fehr & Klaus M. Schmidt, "undated". "Theories of Fairness and Reciprocity - Evidence and Economic Applications," IEW - Working Papers 075, Institute for Empirical Research in Economics - University of Zurich.
    15. Cox, James C. & Friedman, Daniel & Gjerstad, Steven, 2007. "A tractable model of reciprocity and fairness," Games and Economic Behavior, Elsevier, vol. 59(1), pages 17-45, April.
    16. Ernst Fehr & Simon Gächter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    17. Diaz, Lina & Houser, Daniel & Ifcher, John & Zarghamee, Homa, 2023. "Estimating social preferences using stated satisfaction: Novel support for inequity aversion," European Economic Review, Elsevier, vol. 155(C).
    18. Fehr, Ernst & Falk, Armin, 2002. "Psychological foundations of incentives," European Economic Review, Elsevier, vol. 46(4-5), pages 687-724, May.
    19. Bodo Sturm & Joachim Weimann, 2006. "Experiments in Environmental Economics and Some Close Relatives," Journal of Economic Surveys, Wiley Blackwell, vol. 20(3), pages 419-457, July.
    20. Rodriguez-Lara, Ismael, 2016. "Equity and bargaining power in ultimatum games," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 144-165.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:sae:jothpo:v:19:y:2007:i:4:p:363-390. 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: SAGE Publications (email available below). General contact details of provider: .

    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.