# Bargaining, conditional consistency, and weighted lexicographic Kalai-Smorodinsky Solutions

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## Abstract

We reconsider the class of weighted Kalai-Smorodinsky solutions of Dubra (Econ Lett 73:131–136, 2001), and using methods of Imai (Econometrica 51:389–401, 1983), extend their characterization to the domain of multilateral bargaining problems. Aside from standard axioms in the literature, this result involves a new property that weakens the axiom Bilateral Consistency (Lensberg, J Econ Theory 45:330–341, 1988), by making the notion of consistency dependent on how ideal values in a reduced problem change relative to the original problem.

## Notes

### Acknowledgments

I thank Hans Peters, Michele Lombardi and Naoki Yoshihara for useful comments and suggestions. The usual caveat applies.

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