IDEAS home Printed from https://ideas.repec.org/p/ctl/louvre/1990032.html
   My bibliography  Save this paper

Welfarism and Axiomatic Bargaining Theory

Author

Listed:
  • John E. ROEMER

    (University of California)

Abstract

Consider the domain of economic environments E whose typical element is ξ = (U₁, U₂, Ω, ω*), where ui are Neumann-Morgenstern utility functions, Ω is a set of lotteries on a fixed finite set of alternatives, and ω ϵ Ω. A mechanism f associates to each ξ a lottery f(ξ) in Ω. Formulate the natural version of Nash's axioms, from his bargaining solution, for mechanisms on this domain, (e.g., IIA says that if ξ = (U₁, U₂, Δ ⊂ Ω, and f ∈ It is shown that the Nash axioms (Pareto, symmetry, IIA, invariance w. r. t. cardinal transformations of the utility functions) hardly restrict the behavior of the mechanism at all. In particular, for any integer M, choose M environments ξi, i = 1,..., M, and choose a Pareto optimal lottery ωi ∈ Ωi, restricted only so that no axiom is directly contradicted by these choices. Then there is a mechanism f for which f (ξi) = ωi, which satisfies all the axioms, and is continuous on E.

Suggested Citation

  • John E. ROEMER, 1990. "Welfarism and Axiomatic Bargaining Theory," Discussion Papers (REL - Recherches Economiques de Louvain) 1990032, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvre:1990032
    as

    Download full text from publisher

    File URL: http://www.jstor.org/stable/40723929
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

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


    Cited by:

    1. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541, Elsevier.
    2. Vincent Martinet & Pedro Gajardo & Michel Lara, 2024. "Bargaining on monotonic social choice environments," Theory and Decision, Springer, vol. 96(2), pages 209-238, March.
    3. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.
    4. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.

    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:ctl:louvre:1990032. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sebastien SCHILLINGS (email available below). General contact details of provider: https://edirc.repec.org/data/iruclbe.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.