Add to ORKGIn this paper, we show that the procedure 'Adjusted Winner', introduced by Brams and Taylor (1996), implements the Kalai-Smorodinsky bargaining solution for a specific class of fair-division problems. By acknowledging this relationship, we generalize the algorithm in order to address a wider spectrum of bargaining problems. We are not only able to loosen the restriction on parties' preferences, but can also consider the effect of outside options on fair distributions. Moreover, we show that Adjusted Winner can easily be modified to implement alternative solutions, such as the Nash bargaining solution. Our approach combines formal reasoning with plausible argumentation, which is essential for the acceptance of theoretical solution concept in...