Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Rubinstein Bargaining Model

Game Theory

The Rubinstein Bargaining Model is a class of bargaining games in game theory in which two players make alternating offers over how to divide a fixed surplus across an infinite time horizon, each preferring an earlier agreement to a later one. Introduced by Ariel Rubinstein in a 1982 paper, the model shows that this alternating-offers process yields a unique predicted division as the direct outcome of the players' own strategic behavior, in contrast to Nash's earlier bargaining theory, which derives its predicted division from a set of fairness axioms imposed on the outcome.

Facts
Statement
In the unique subgame perfect equilibrium of the model, player 1 receives a share of 1 divided by (1+d) of the surplus and player 2 receives d divided by (1+d), where d is the common discount factor. 1
Proof Year
1982 1
Classification
Statement Form
Uniqueness Theorem 1
Connections

Has Statement Form

In Branch

Source Rubinstein bargaining model (Wikipedia)
Sources
1. Rubinstein bargaining model (Wikipedia)
  • Solution section
    In this subgame perfect equilibrium, player 1 gets 1/(1+d) while player 2 gets d/(1+d).
  • Lead section
    The original solution concept was introduced by Ariel Rubinstein in his seminal 1982 paper.
  • In Branch: Game Theory, Lead sentence
    ng model refers to a class of bargaining games in game theory featuring alternating offers between two players over an infinite ti
  • In Group: Equilibria, Bargaining and Cooperative Games, Lead paragraph
    Rubinstein bargaining model refers to a class of bargaining games in game theory featuring alternating offers between two players over an infinite time horizon.
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.