An axiomatization of the nucleolus of the assignment game
On the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies derived consistency (Owen, 1992) and complaint mono- tonicity on sectors size. As a consequence, we obtain a geometric characterization of the nucleolus by means of a strong form of the bisection property that characterizes the inter- section between the core and the kernel of a coalitional game in Maschler et al (1979).
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