# OTHER SOLUTIONS TO NASH'S BARGAINING PROBLEM

@article{Kalai1975OTHERST, title={OTHER SOLUTIONS TO NASH'S BARGAINING PROBLEM}, author={Ehud Kalai and Meir Smorodinsky}, journal={Econometrica}, year={1975}, volume={43}, pages={513-518} }

A two-person bargaining problem is considered. It is shown that under four axioms that describe the behavior of players there is a unique solution to such a problem. The axioms and the solution presented are different from those suggested by Nash. Also, families of solutions which satisfy a more limited set of axioms and which are continuous are discussed. WE CONSIDER a two-person bargaining problem mathematically formulated as follows. To every two-person game we associate a pair (a, S), where…

## 1,657 Citations

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We consider the situation that two players have cardinal preferences over a
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Abstract A reformation of Nash's axiom of Independence of Irrelevant Alternatives is proposed, generalizing an idea due to Roth. It involves the concept of a reference function g , whose purpose is…

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The axioms describe a solution that results from an impartial arbitration process, expressing the view that arbitration is a natural method to settle disputes in which agents have conflicting interests, but can all gain from compromise.

An Ordinal Bargaining Solution with Fixed-Point Property

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This paper argues that if a bargaining problem is modeled in terms of the logical relation of players' physical negotiation items, a meaningful bargaining solution can be constructed based on the ordinal structure of bargainers' preferences and proposes a logic-based ordinal solution to the bilateral bargaining problem.

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We study two-person, multiple-issue bargaining problems and identify four procedures by which the bargaining may take place. Drawing on some logic from non-cooperative game theory, we propose axioms…

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