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The bargaining problem asks how two parties divide the gains from an agreement when failing to agree leaves both at a worse disagreement point. Nash's 1950 The bargaining problem took an axiomatic route, showing that a short list of reasonable conditions singles out the split that maximizes the product of the players' utility gains over the disagreement point. Rubinstein's 1982 Perfect equilibrium in a bargaining model took the strategic route, deriving a unique division from a game of alternating offers in which impatience drives agreement. The referent is the division of a jointly created surplus, and these two approaches (axiomatic and non-cooperative) are the twin pillars of bargaining theory.[1][2]
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