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This contribution focuses on two-party negotiation over continuous issues. The authors firstly prove two drawbacks of the jointly Improving Direction Method (IDM), namely that IDM is not a Strategy-Proof (SP) nor an Information Concealing (IC) method. Thus, they prove that the concurrent lack of these two properties implies the actual non-efficiency of IDM. Finally they propose a probabilistic method which is both IC and stochastically SP thus leading to efficient settlements without being affected by manipulatory behaviors.
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