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This is tantamount to the Nash bargaining solution of H & H, which obtains from the optimization of [SIGMA][V.
Question: "The Nash bargaining solution is a startlingly original theorem because the conclusion, that bargaining will maximize the product of utility differences, seems to be so different from the nature of the axioms about the independence of irrelevant alternatives, or that people maximize expected utility.
The Bargaining Problem and the Nash Bargaining Solution (1950) Many strategic situations require explicit cooperation.
The axioms of the Nash bargaining solution include Pareto efficiency and equity.
Aoki proposed that the solution to this particular distribution problem could be accomplished by use of a bargaining process attributed to Frederik Zeuthen and John Harsanyi that leads to the Nash bargaining solution.