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Nash's Bargaining Theorem

Game Theory

Nash's Bargaining Theorem states that a two-person bargaining problem, given by a set of jointly feasible utility outcomes and a fixed disagreement outcome, has exactly one solution satisfying four natural conditions, Pareto efficiency, symmetry, invariance to affine transformations of utility, and independence of irrelevant alternatives, and that this unique solution is the outcome maximizing the product of each player's gain in utility over the disagreement point. Named for John Nash, it is a foundational axiomatic result of cooperative game theory.

Facts
Statement
The Nash bargaining solution is the unique solution to a two-person bargaining problem satisfying scale invariance, symmetry, efficiency and independence of irrelevant alternatives. 1
Classification
Statement Form
Uniqueness Theorem 1
Connections

Has Statement Form

In Branch

Source Cooperative bargaining (Wikipedia)

Named After

Proved By

Sources
1. Cooperative bargaining (Wikipedia)
  • Nash bargaining game section
    It is the unique solution to a two-person bargaining problem that satisfies the axioms of scale invariance, symmetry, efficiency, and independence of irrelevant alternatives.
  • In Group: Equilibria, Bargaining and Cooperative Games, Article text
    Cooperative bargaining is a process in which two people decide how to share a surplus that they can jointly generate.
  • In Branch: Game Theory, Article text
    Cooperative bargaining is a process in which two people decide how to share a surplus that they can jointly generate.
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