Duality, area-considerations, and the Kalai-Smorodinsky solution

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• 作者：Emin Karagö ; zoğlu^a ; ^b ; ^{karagozoglu@bilkent.edu.tr} ; Shiran Rachmilevitch^c
• 关键词：Axioms ; Bargaining problem ; Dual bargaining problem ; Egalitarianism ; Equal-area solution ; Kalai&ndash ; Smorodinsky solution
• 刊名：Operations Research Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：45
• 期：1
• 页码：30-33
• 全文大小：387 K
• 卷排序：45

文摘

We introduce a new solution concept for 22-person bargaining problems, which can be considered as the dual of the Equal-Area solution (EA) (see Anbarcı and Bigelow (1994)). Hence, we call it the Dual Equal-Area solution (DEA). We show that the point selected by the Kalai–Smorodinsky solution (see Kalai and Smorodinsky (1975)) lies in between those that are selected by EA and DEA. We formulate an axiom–area-based fairness–and offer three characterizations of the Kalai–Smorodinsky solution in which this axiom plays a central role.