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Nonconvex bargaining problems

Yongsheng Xu, Naoki Yoshihara

Abstract

This paper studies compact and comprehensive bargaining problems for n players and axiomatically characterize the extensions of the three classical bargaining solutions to nonconvex bargaining problems: the Nash solution, the egalitarian solution and the Kalai-Smorodinsky solution.Our characterizing axioms are various extensions of Nash's original axioms.

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Available abstract

Key concepts: Axiom, Bargaining problem, Mathematical economics, Economics, Mathematics, Mathematical optimization, Geometry