Welfarism and Axiomatic Bargaining Theory
AbstractConsider 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (REL - Recherches Economiques de Louvain) with number 1990032.
Date of creation: 01 Sep 1990
Date of revision:
Other versions of this item:
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- 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
- d’ASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," CORE Discussion Papers 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, EconWPA, revised 27 Nov 1996.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sebastien SCHILLINGS).
If references are entirely missing, you can add them using this form.