Skip to main content

Research Repository

Advanced Search

A simple two-axiom characterization of the Nash solution

Anbarci, N.



The oldest and best-known cooperative bargaining solution concept is the Nash solution. Nash [2] characterized his seminal solution concept by using the axioms of ‘Independence of Irrelevant Alternatives’ (IIA), ‘Weak Pareto Optimality’ (WPO), ‘Symmetry’ (SYM), and ‘Scale Invariance’ (SI). Except for WPO, these axioms have been at the center of controversy (especially the most crucial axiom, IIA). This paper considers a new and simple axiom ‘Focal Relevance of a Pareto-optimal Midpoint’ (FRPM). It turns out that the Nash solution can be characterized by WPO and FRPM only.


Anbarci, N. (2002). A simple two-axiom characterization of the Nash solution. OR Spectrum, 24(2), 215-218.

Journal Article Type Article
Acceptance Date Apr 9, 2002
Online Publication Date May 1, 2002
Publication Date 2002-05
Deposit Date Aug 17, 2018
Journal OR Spectrum
Print ISSN 0171-6468
Electronic ISSN 1436-6304
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 24
Issue 2
Pages 215-218
Public URL